Tootfinder

There’s a great new noclip documentary out on Return to Monkey Island, definitely worth watching!
But… my favorite video on YouTube on Monkey Island is a deep dive into the game mechanics of the first one and why it’s so damn good.
https://youtu.be/gYqVK3Y_-o0?si=ew-F-YlGkB…

This https://arxiv.org/abs/2402.05049 has been replaced.
link: https://scholar.google.com/scholar?q=a

Symplectic mechanics of relativistic spinning compact bodies II.: Canonical formalism in the Schwarzschild spacetime
This work constitutes the second part of a series of studies that aim to utilise tools from Hamiltonian mechanics to investigate the motion of an extended body in general relativity. The first part of this work [Refs. [1, 2]] constructed a ten-dimensional, covariant Hamiltonian framework encompassing all the linear-in-spin corrections to the geodesic motion in arbitrary spacetime. This framework was proven to be integrable in the Schwarzschild and Kerr spacetimes, specifically. The present work…

Quantum-informed simulations for mechanics of materials: DFTB MBD framework
Zhaoxiang Shen (Department of Engineering, Faculty of Science, Technology and Medicine, University of Luxembourg), Ra\'ul I. Sosa (Department of Physics and Materials Science, University of Luxembourg), St\'ephane P. A. Bordas (Department of Engineering, Faculty of Science, Technology and Medicine, University of Luxembourg), Alexandre Tkatchenko (Department of Physics and Materials Science, University o…

Quantum-informed simulations for mechanics of materials: DFTB+MBD framework
The macroscopic behaviors of materials are determined by interactions that occur at multiple lengths and time scales. Depending on the application, describing, predicting, and understanding these behaviors require models that rely on insights from electronic and atomic scales. In such cases, classical simplified approximations at those scales are insufficient, and quantum-based modeling is required. In this paper, we study how quantum effects can modify the mechanical properties of systems rele…

This https://arxiv.org/abs/2404.15233 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Towards field theory of multiple D0-branes. Hamiltonian mechanics and quantization of simplest 3D prototype of multiple D0-brane system
Recently we have constructed a completely supersymmetric nonlinear action possessing the properties expected from multiple D0-brane system. Its quantization should result in an interesting supersymmetric field theory in the (super)space with additional matrix coordinates which can provide an important insights in the study of String Theory. As a first stage toward this aim, in this paper we construct the Hamiltonian mechanics and perform covariant quantization of the simplest three dimensional …

This https://arxiv.org/abs/2012.13709 has been replaced.
link: https://scholar.google.com/scholar?q=a

Generalization of Hamiltonian Mechanics to a Three Dimensional Phase Space
Classical Hamiltonian mechanics is realized by the action of a Poisson bracket on a Hamiltonian function. The Hamiltonian function is a constant of motion (the energy) of the system. The properties of the Poisson bracket are encapsulated in the symplectic 2-form, a closed second order differential form. Due to closure, the symplectic 2-form is preserved by the Hamiltonian flow, and it assigns an invariant (Liouville) measure on the phase space through the Lie-Darboux theorem. In this paper we p…

Weighing down the table with beer mugs due to the non-zero chance that quantum mechanics might tip it over.
#Hashtaggames
#NewBeersEveTraditions

The statistical mechanics and machine learning of the $\alpha$-R\'enyi ensemble
Andrew Jreissaty, Juan Carrasquilla
https://arxiv.org/abs/2404.04005 ht…

The statistical mechanics and machine learning of the $α$-Rényi ensemble
We study the statistical physics of the classical Ising model in the so-called $α$-Rényi ensemble, a finite-temperature thermal state approximation that minimizes a modified free energy based on the $α$-Rényi entropy. We begin by characterizing its critical behavior in mean-field theory in different regimes of the Rényi index $α$. Next, we re-introduce correlations and consider the model in one and two dimensions, presenting an exact analysis of the former and devising an unconventional M…

This https://arxiv.org/abs/2307.14223 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLO_…

Rewriting and Completeness of Sum-Over-Paths in Dyadic Fragments of Quantum Computing
The "Sum-Over-Paths" formalism is a way to symbolically manipulate linear maps that describe quantum systems, and is a tool that is used in formal verification of such systems. We give here a new set of rewrite rules for the formalism, and show that it is complete for "Toffoli-Hadamard", the simplest approximately universal fragment of quantum mechanics. We show that the rewriting is terminating, but not confluent (which is expected from the universality of the fragment). We do so using the con…

Dynamic Gaussian Graph Operator: Learning parametric partial differential equations in arbitrary discrete mechanics problems
Chu Wang, Jinhong Wu, Yanzhi Wang, Zhijian Zha, Qi Zhou
https://arxiv.org/abs/2403.02810

Dynamic Gaussian Graph Operator: Learning parametric partial differential equations in arbitrary discrete mechanics problems
Deep learning methods have access to be employed for solving physical systems governed by parametric partial differential equations (PDEs) due to massive scientific data. It has been refined to operator learning that focuses on learning non-linear mapping between infinite-dimensional function spaces, offering interface from observations to solutions. However, state-of-the-art neural operators are limited to constant and uniform discretization, thereby leading to deficiency in generalization on …

Musste bei dem Video von Sabine Hossenfelder, deren "no bullshit"-Haltung ich sehr mag, gerade an "What is real?" von Adam Becker (https://bookwyrm.social/book/27179/s/what-is-real) denken. Das fand ich sehr spannend und anregend.

🔊 #NowPlaying on BBCRadio2's #OwainWynEvans
Mike the Mechanics:
🎵 All I Need Is A Miracle
#Mike theMechanics
https://open.spotify.com/track/5hrNXBpS7BDrZtIsqNpReY
https://liquidexperience.bandcamp.com/track/mike-the-mechanics-all-i-need-is-a-miracle-liquid-remix

This https://arxiv.org/abs/2311.01249 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Viscoelastic mechanics of tidally induced lake drainage in the Amery grounding zone
Drainage of supraglacial lakes to the ice-sheet bed can occur when a hydrofracture propagates downward, driven by the weight of the water in the lake. For supraglacial lakes in the grounding zones of Antarctic glaciers, the mechanics of drainage is complicated by their proximity to the grounding line. Recently, a series of supraglacial lake-drainage events through hydrofractures was observed in the Amery Ice Shelf grounding zone, East Antarctica. The lake depth at drainage varied considerably b…

Communities for the Lagrangian Dynamics of the Turbulent Velocity Gradient Tensor: A Network Participation Approach
Christopher J. Keylock, Maurizio Carbone
https://arxiv.org/abs/2405.03589

Communities for the Lagrangian Dynamics of the Turbulent Velocity Gradient Tensor: A Network Participation Approach
Complex network analysis methods have been widely applied to nonlinear systems, but applications within fluid mechanics are relatively few. In this paper, we use a network for the Lagrangian dynamics of the velocity gradient tensor (VGT), where each node is a flow state, and the probability of transitioning between states follows from a direct numerical simulation of statistically steady and isotropic turbulence. The network representation of the VGT dynamics is much more compact than the conti…

Some Things I Have Learned From Detlef D\"urr
Roderich Tumulka
https://arxiv.org/abs/2405.04368 https://arxiv.org/pdf/2405.04368…

Some Things I Have Learned From Detlef Dürr
Detlef Dürr (1951-2021) was a theoretical and mathematical physicist who worked particularly on the foundations of quantum mechanics, electromagnetism, and statistical mechanics. This piece is a rather personal look back at him and his science.

Inverse resolution of spatially varying diffusion coefficient using Physics-Informed neural networks
Sukirt Thakur, Ehsan Esmaili, Sarah Libring, Luis Solorio, Arezoo M. Ardekani
https://arxiv.org/abs/2403.03970

Inverse resolution of spatially varying diffusion coefficient using Physics-Informed neural networks
Resolving the diffusion coefficient is a key element in many biological and engineering systems, including pharmacological drug transport and fluid mechanics analyses. Additionally, these systems often have spatial variation in the diffusion coefficient which must be determined, such as for injectable drug-eluting implants into heterogeneous tissues. Unfortunately, obtaining the diffusion coefficient from images in such cases is an inverse problem with only discrete data points. The development…

Kaikenlaisia niche aloja sitä onkaan jossa suomalainen firma on maailman harvojen alan toimijoiden joukossa. En olisi ikinä veikannut että tällainen firma on Suomessa, ellei olisi tullut vastaan Youtube-video jossa kerrotaan still- ja elokuvakameroiden vanhojen mutta optisesti korkealaatuisten objektiivien muokkaamisesta (ammattimaiseen) uusiokäyttöön moderneissa elokuvakameroissa. Tällaista tekee vain kourallinen firmoja, joista yksi Suomessa.

Lens Rehousing Service | Whitepoint Optics
We specialise in rehousing vintage cine lenses and adapting a still lenses for cinema use. High quality mechanics, fast delivery times. Request a quote now!

Analysis of a VEM-fully discrete polytopal scheme with bubble stabilisation for contact mechanics with Tresca friction
J\'er\^ome Droniou, Ali Haidar, Roland Masson
https://arxiv.org/abs/2404.03045

Analysis of a VEM-fully discrete polytopal scheme with bubble stabilisation for contact mechanics with Tresca friction
This work performs the convergence analysis of the polytopal nodal discretisation of contact-mechanics (with Tresca friction) recently introduced in [18] in the framework of poro-elastic models in fractured porous media. The scheme is based on a mixed formulation, using face-wise constant approximations of the Lagrange multipliers along the fracture network and a fully discrete first order nodal approximation of the displacement field. The displacement field is enriched with additional bubble d…

This https://arxiv.org/abs/2312.04074 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Inner bounding the quantum entropy cone with subadditivity and subsystem coarse grainings
We show via explicit construction that all the extreme rays of both the three-party quantum entropy cone and the four-party stabilizer entropy cone can be obtained from subsystem coarse grainings of specific higher-party quantum states, namely extreme states characterized by saturating a (non-trivial) maximal set of instances of subadditivity. This suggests that the study of the ``subadditivity cone'', and the set of its extreme rays realizable in quantum mechanics, provides a powerful tool for…

This https://arxiv.org/abs/2112.06081 has been replaced.
link: https://scholar.google.com/scholar?q=a

Second-Order Fast-Slow Stochastic Systems
This paper focuses on systems of nonlinear second-order stochastic differential equations with multi-scales. The motivation for our study stems from mathematical physics and statistical mechanics, for examples, Langevin dynamics and stochastic acceleration in a random environment. Our effort is to carry out asymptotic analysis to establish large deviations principles. Our focus is on obtaining the desired results for systems under weaker conditions. When the fast-varying process is a diffusion,…

This https://arxiv.org/abs/2404.13331 has been replaced.
initial toot: https://mastoxiv.page/@arXi…

3D characterization of kinematic fields and poroelastic swelling near the tip of a propagating crack in a hydrogel
In fracture mechanics, polyacrylamide hydrogels have been widely used as a model material for experiments, benefited from its optical transparency, fracture brittleness, and low Rayleigh wave velocity. To describe the brittle fracture in the hydrogels, linear elastic fracture mechanics comes as the first choice. However, in soft materials such as hydrogels, the crack opening can be extremely large, leading to substantial geometric nonlinearity and material nonlinearity at the crack tip. Further…

Graviton mass due to dark energy as a superconducting medium: theoretical and phenomenological aspects
Nader Inan, Ahmed Farag Ali, Kimet Jusufi, Abdelrahman Yasser
https://arxiv.org/abs/2404.03872

Graviton mass due to dark energy as a superconducting medium: theoretical and phenomenological aspects
It is well known that the cosmological constant term in the Einstein field equations can be interpreted as a stress tensor for dark energy. This stress tensor is formally analogous to an elastic constitutive equation in continuum mechanics. As a result, the cosmological constant leads to a "shear modulus" and "bulk modulus" affecting all gravitational fields in the universe. The form of the constitutive equation is also analogous to the London constitutive equation for a superconductor. Treatin…

A review on data-driven constitutive laws for solids
Jan Niklas Fuhg, Govinda Anantha Padmanabha, Nikolaos Bouklas, Bahador Bahmani, WaiChing Sun, Nikolaos N. Vlassis, Moritz Flaschel, Pietro Carrara, Laura De Lorenzis
https://arxiv.org/abs/2405.03658

A review on data-driven constitutive laws for solids
This review article highlights state-of-the-art data-driven techniques to discover, encode, surrogate, or emulate constitutive laws that describe the path-independent and path-dependent response of solids. Our objective is to provide an organized taxonomy to a large spectrum of methodologies developed in the past decades and to discuss the benefits and drawbacks of the various techniques for interpreting and forecasting mechanics behavior across different scales. Distinguishing between machine-…

[2024-04-08 Mon (UTC), 7 new articles found for cond-mat.stat-mech Statistical Mechanics]

Isles of regularity in a sea of chaos amid the gravitational three-body problem
Alessandro Alberto Trani, Nathan W. C. Leigh, Tjarda C. N. Boekholt, Simon Portegies Zwart
https://arxiv.org/abs/2403.03247

Isles of regularity in a sea of chaos amid the gravitational three-body problem
The three-body problem (3BP) poses a longstanding challenge in physics and celestial mechanics. Despite the impossibility of obtaining general analytical solutions, statistical theories have been developed based on the ergodic principle. This assumption is justified by chaos, which is expected to fully mix the accessible phase space of the 3BP. This study probes the presence of regular (i.e. non chaotic) trajectories within the 3BP and assesses their impact on statistical escape theories. Using…

Communities for the Lagrangian Dynamics of the Turbulent Velocity Gradient Tensor: A Network Participation Approach
Christopher J. Keylock, Maurizio Carbone
https://arxiv.org/abs/2405.03589

Communities for the Lagrangian Dynamics of the Turbulent Velocity Gradient Tensor: A Network Participation Approach
Complex network analysis methods have been widely applied to nonlinear systems, but applications within fluid mechanics are relatively few. In this paper, we use a network for the Lagrangian dynamics of the velocity gradient tensor (VGT), where each node is a flow state, and the probability of transitioning between states follows from a direct numerical simulation of statistically steady and isotropic turbulence. The network representation of the VGT dynamics is much more compact than the conti…

Non-equilibrium Green's function approach to low-energy fission dynamics
K. Uzawa, K. Hagino, G. F. Bertsch
https://arxiv.org/abs/2403.04255 https://…

Non-equilibrium Green's function approach to low-energy fission dynamics
The concept of a compound nucleus was proposed by Bohr in 1936 to explain narrow resonances in neutron scattering off a nucleus. While a compound nucleus has been understood in terms of statistical mechanics, its description based on a many-body Hamiltonian has yet to be developed. Here we present a microscopic modeling of a compound nucleus starting from a nucleonic degree of freedom. We focus in particular on a decay of a heavy compound nucleus, that is, fission and radiative capture. To this…

Which of the NFL Draft’s top QBs has the best mechanics? Experts grade each passer https://theathletic.com/5390475/2024/04/09/nfl-draft-quarterbacks-mechanics-rankings-grades/

Which of the NFL Draft’s top QBs has the best mechanics? Experts grade each passer
Experts on quarterback mechanics weigh in on the good and bad they see in how this year's prospects throw and what's correctable.

A Generalized Theory of Interactions -- I. The General Problem
Santiago N\'u\~nez-Corrales, Eric Jakobsson
https://arxiv.org/abs/2403.02346 https://

A Generalized Theory of Interactions -- I. The General Problem
Understanding realistic complex systems requires confronting significant conceptual, theoretical and experimental limitations rooted in the persistence of views that originated in the mechanics of simple moving bodies. We define the category of complex multiscale stochastic systems as a useful device for capturing the minimally required complexity of many types of phenomena. In doing so, we provide evidence indicating that determinism, continuity and reversibility can lead to theoretical inadeq…

Statistical mechanics and pressure of composite multimoded weakly nonlinear optical systems
Nikolaos K. Efremidis, Demetrios N. Christodoulides
https://arxiv.org/abs/2404.02745

Statistical mechanics and pressure of composite multimoded weakly nonlinear optical systems
Statistical mechanics can provide a versatile theoretical framework for investigating the collective dynamics of weakly nonlinear waves-settings that can be utterly complex to describe otherwise. In optics, composite systems arise due to interactions between different frequencies and/or polarizations. The purpose of this work is to develop a thermodynamic theory that takes into account the synergistic action of multiple components. We find that the type of the nonlinearity involved can have imp…

On bipartite and tripartite entanglement at present and future particle colliders
Amir Subba, Rafiqul Rahaman
https://arxiv.org/abs/2404.03292 https://

On bipartite and tripartite entanglement at present and future particle colliders
Entanglement, rooted in the non-deterministic, non-local nature of quantum mechanics, serves as a fundamental correlation. High-energy particle colliders offer a unique platform for exploring entanglement in the relativistic regime. The recent observation of entanglement in $t\bar{t}$ production by ATLAS has sparked significant interest in investigating entanglement phenomena at colliders. While bipartite entanglement receives extensive attention, tripartite entanglement remains relatively unch…

Geograph
Exact's Geograph Seal, released for the Sharp X68000 computer in 1994, is a precursor to Jumping Flash! Rendered in 3D polygons, it was the earliest first-person shooter with platforming mechanics. It also allowed the player to aim the weapon, and took place in free-roaming outdoor environments rather than the corridor labyrinths of contemporary FPS games like Doom.

Helicity in dispersive fluid mechanics
S. L. Gavrilyuk (AMU, IUSTI), H. Gouin (AMU, IUSTI)
https://arxiv.org/abs/2403.20072 https://a…

Helicity in dispersive fluid mechanics
By dispersive models of fluid mechanics we are referring to the Euler-Lagrange equations for the constrained Hamilton action functional where the internal energy depends on high order derivatives of unknowns. The mass conservation law is considered as a constraint. The corresponding Euler-Lagrange equations include, in particular, the van der Waals--Korteweg model of capillary fluids, the model of fluids containing small gas bubbles and the model describing long free-surface gravity w…

Explaining Grover's algorithm with a colony of ants: a pedagogical model for making quantum technology comprehensible
Merel A Schalkers, Kamiel Dankers, Michael Wimmer, Pieter Vermaas
https://arxiv.org/abs/2405.00014 https://arxiv.org/pdf/2405.00014
arXiv:2405.00014v1 Announce Type: new
Abstract: The rapid growth of quantum technologies requires an increasing number of physicists, computer scientists, and engineers who can work on these technologies. For educating these professionals, quantum mechanics should stop being perceived as incomprehensible. In this paper we contribute to this change by presenting a pedagogical model for explaining Grover's search algorithm, a prominent quantum algorithm. This model visualizes the three main steps of Grover's algorithm and, in addition to explaining the algorithm itself, introduces three key principles of quantum mechanics: superposition, interference, and state collapse at measurement. The pedagogical model, visualized by a video, is called the "Ant Colony Maze model". It represents the search problems as finding the exit of a maze, and visualizes Grover's search algorithm as a strategy by which a colony of ants finds that exit.

This https://arxiv.org/abs/2301.10175 has been replaced.
initial toot: https://mastoxiv.page/@a…

Intrinsic variational structure of higher-derivative formulations of classical mechanics
This paper investigates the geometric structure of higher-derivative formulations of classical mechanics. It is shown that every even-order formulation of classical mechanics higher than the second order is intrinsically variational, in the sense that the equations of motion are always derivable from a minimum action principle, even when the system is non-Hamiltonian. Particular emphasis is placed on the fourth-order formulation, as that is shown to be the lowest order for which the governing e…

Supersymmetric Quantum Mechanics on a noncommutative plane through the lens of deformation quantization
Md. Rafsanjany Jim, S. Hasibul Hassan Chowdhury
https://arxiv.org/abs/2405.02239

This https://arxiv.org/abs/2403.01511 has been replaced.
link: https://scholar.google.com/scholar?q=a

Multiscale Biomolecular Simulations in the Exascale Era
The complexity of biological systems and processes, spanning molecular to macroscopic scales, necessitates the use of multiscale simulations to get a comprehensive understanding. Quantum mechanics/molecular mechanics (QM/MM) molecular dynamics (MD) simulations are crucial for capturing processes beyond the reach of classical MD simulations. The advent of exascale computing offers unprecedented opportunities for scientific exploration, not least within life sciences, where simulations are essent…

Joint torques prediction of a robotic arm using neural networks
Giulia d'Addato, Ruggero Carli, Eurico Pedrosa, Artur Pereira, Luigi Palopoli, Daniele Fontanelli
https://arxiv.org/abs/2405.00695

Joint torques prediction of a robotic arm using neural networks
Accurate dynamic models are crucial for many robotic applications. Traditional approaches to deriving these models are based on the application of Lagrangian or Newtonian mechanics. Although these methods provide a good insight into the physical behaviour of the system, they rely on the exact knowledge of parameters such as inertia, friction and joint flexibility. In addition, the system is often affected by uncertain and nonlinear effects, such as saturation and dead zones, which can be diffic…

[2024-03-07 Thu (UTC), 3 new articles found for cond-mat.stat-mech Statistical Mechanics]

This https://arxiv.org/abs/2403.00183 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Trade-off between reconstruction accuracy and physical validity in modeling turbomachinery PIV data by Physics-Informed CNN
Particle Image Velocimetry (PIV) data is a valuable asset in fluid mechanics. It is capable of visualizing flow structures even in complex physics scenarios, such as the flow at the exit of the rotor of a centrifugal fan. Machine learning is also a successful companion to PIV in order to increase data resolution or impute experimental gaps. While classical algorithms focus solely on replicating data using statistical metrics, the application of Physics Informed Neural Networks (PINN) contribute…

This https://arxiv.org/abs/2404.13331 has been replaced.
initial toot: https://mastoxiv.page/@arXi…

3D characterization of kinematic fields and poroelastic swelling near the tip of a propagating crack in a hydrogel
In fracture mechanics, polyacrylamide hydrogels have been widely used as a model material for experiments, benefited from its optical transparency, fracture brittleness, and low Rayleigh wave velocity. To describe the brittle fracture in the hydrogels, linear elastic fracture mechanics comes as the first choice. However, in soft materials such as hydrogels, the crack opening can be extremely large, leading to substantial geometric nonlinearity and material nonlinearity at the crack tip. Further…

This https://arxiv.org/abs/2402.12393 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csHC_…

On Automating Video Game Regression Testing by Planning and Learning
In this paper, we propose a method and workflow for automating regression testing of certain video game aspects using automated planning and incremental action model learning techniques. The basic idea is to use detailed game logs and incremental action model learning techniques to maintain a formal model in the planning domain description language (PDDL) of the gameplay mechanics. The workflow enables efficient cooperation of game developers without any experience with PDDL or other formal sys…

Demolition and Reinforcement of Memories in Spin-Glass-like Neural Networks
Enrico Ventura
https://arxiv.org/abs/2403.02537 https://a…

Demolition and Reinforcement of Memories in Spin-Glass-like Neural Networks
Statistical mechanics has made significant contributions to the study of biological neural systems by modeling them as recurrent networks of interconnected units with adjustable interactions. Several algorithms have been proposed to optimize the neural connections to enable network tasks such as information storage (i.e. associative memory) and learning probability distributions from data (i.e. generative modeling). Among these methods, the Unlearning algorithm, aligned with emerging theories o…

Lorentz invariance and quantum mechanics
Ward Struyve
https://arxiv.org/abs/2402.15881 https://arxiv.org/pdf/2402.15881

Lorentz invariance and quantum mechanics
Bohmian mechanics and spontaneous collapse models are theories that overcome the quantum measurement problem. While they are naturally formulated for non-relativistic systems, it has proven difficult to formulate Lorentz invariant extensions, primarily due to the inherent non-locality, which is unavoidable due to Bell's theorem. There are trivial ways to make space-time theories Lorentz invariant, but the challenge is to achieve what Bell dubbed ``serious Lorentz invariance''. However, this not…

[2024-03-08 Fri (UTC), 7 new articles found for cond-mat.stat-mech Statistical Mechanics]

This https://arxiv.org/abs/1905.06659 has been replaced.
link: https://scholar.google.com/scholar?q=a

Space Curves from Nonlinear Schrödinger Solutions: A Direct Approach
The connection between vortex filament evolution in the local induction approximation and non-linear Schrödinger (NLS) equation by Hasimoto [H. Hasimoto, J. Fluid Mechanics 51, (1972) 477] has led to space curves corresponding to NLS solitons in the past. Utilizing this map, we propose a direct construction of parametric curve evolution from any NLS solution. It includes ordered (or nested) integrals of products of local matrices akin to the causal evolution of quantum theory, necessitating th…

Non-equilibrium Green's function approach to low-energy fission dynamics
K. Uzawa, K. Hagino, G. F. Bertsch
https://arxiv.org/abs/2403.04255 https://…

Non-equilibrium Green's function approach to low-energy fission dynamics
The concept of a compound nucleus was proposed by Bohr in 1936 to explain narrow resonances in neutron scattering off a nucleus. While a compound nucleus has been understood in terms of statistical mechanics, its description based on a many-body Hamiltonian has yet to be developed. Here we present a microscopic modeling of a compound nucleus starting from a nucleonic degree of freedom. We focus in particular on a decay of a heavy compound nucleus, that is, fission and radiative capture. To this…

This https://arxiv.org/abs/2309.00299 has been replaced.
initial toot: https://mastoxiv.page/@a…

Quantum mechanics of composite fermions
We establish the quantum mechanics of composite fermions based on the dipole picture initially proposed by Read. It comprises three complimentary components: a wave equation for determining the wave functions of a composite fermion in ideal fractional quantum Hall states and when subjected to external perturbations, a wave function ansatz for mapping a many-body wave function of composite fermions to a physical wave function of electrons, and a microscopic approach for determining the effective…

$n$-point functions in Conformal Quantum Mechanics: A Momentum Space Odyssey
Dhruva K. S, Deep Mazumdar, Shivang Yadav
https://arxiv.org/abs/2402.16947 htt…

$n$-point functions in Conformal Quantum Mechanics: A Momentum Space Odyssey
In this paper, we study the implications of conformal invariance in momentum space for correlation functions in quantum mechanics. We find that three point functions of arbitrary operators can be written in terms of the $_2 F_1$ hypergeometric function. We then show that generic four-point functions can be expressed in terms of Appell's generalized hypergeometric function $F_2$ with one undetermined parameter that plays the role of the conformal cross ratio in momentum space. We also construct …

Interesting read: What happens on #GitLab when you do #Git push? https://nanmu.me/en/posts/2022/what-ha

A Generalised Theory of Interactions -- II. The Theoretical Construction
Santiago N\'u\~nez-Corrales, Eric Jakobsson
https://arxiv.org/abs/2403.02348 h…

A Generalised Theory of Interactions -- II. The Theoretical Construction
After discussing the significance of interactions to understand complex multiscale stochastic systems (CMSS), we turn our attention to the construction of a Generalised Theory of Interactions (GToI). We define interactions as discrete, localised events where the thermodynamically irreversible exchange of degrees of freedom involves signal propagation and relaxation phenomena. We proceed to define the mechanics of such space, as well as how these approximately map onto dynamical manifolds. By ch…

Performing Cats!
Well, friend, there's no easy way to say this... when a Cat is in a recording studio singing a hit record... it doesn't make for a pretty picture!
They tend to meow instead of sing -- there's no effort if not for trying.
Plus, they have a problem finding headphones that fit their heads -- not even AirPods would make a difference due to the mechanics of a fluttering Cat ear while excited.
Still... the music lives on!

Four receivers lead 2025 FA class, plus the mechanics of three QB prospects https://theathletic.com/5401904/2024/04/09/four-receivers-lead-2025-fa-class-plus-the-mechanics-of-three-qb-prospects/

Four receivers lead 2025 FA class, plus the mechanics of three QB prospects
Covering the NFL's biggest stories, today's Scoop City includes predictions for four 2025 free agent WRs

Lorentz invariance and quantum mechanics
Ward Struyve
https://arxiv.org/abs/2402.15881 https://arxiv.org/pdf/2402.15881

Lorentz invariance and quantum mechanics
Bohmian mechanics and spontaneous collapse models are theories that overcome the quantum measurement problem. While they are naturally formulated for non-relativistic systems, it has proven difficult to formulate Lorentz invariant extensions, primarily due to the inherent non-locality, which is unavoidable due to Bell's theorem. There are trivial ways to make space-time theories Lorentz invariant, but the challenge is to achieve what Bell dubbed ``serious Lorentz invariance''. However, this not…

Data-driven micromorphic mechanics for materials with strain localization
Jacinto Ulloa, Laurent Stainier, Michael Ortiz, Jos\'e E. Andrade
https://arxiv.org/abs/2402.15966

Data-driven micromorphic mechanics for materials with strain localization
This paper explores the role of generalized continuum mechanics, and the feasibility of model-free data-driven computing approaches thereof, in solids undergoing failure by strain localization. Specifically, we set forth a methodology for capturing material instabilities using data-driven mechanics without prior information regarding the failure mode. We show numerically that, in problems involving strain localization, the standard data-driven framework for Cauchy/Boltzmann continua fails to ca…

Reduced and All-at-Once Approaches for Model Calibration and Discovery in Computational Solid Mechanics
Ulrich R\"omer, Stefan Hartmann, Jendrik-Alexander Tr\"oger, David Anton, Henning Wessels, Moritz Flaschel, Laura De Lorenzis
https://arxiv.org/abs/2404.16980

Reduced and All-at-Once Approaches for Model Calibration and Discovery in Computational Solid Mechanics
In the framework of solid mechanics, the task of deriving material parameters from experimental data has recently re-emerged with the progress in full-field measurement capabilities and the renewed advances of machine learning. In this context, new methods such as the virtual fields method and physics-informed neural networks have been developed as alternatives to the already established least-squares and finite element-based approaches. Moreover, model discovery problems are starting to emerge…

Principle of virtual action in continuum mechanics
Henri Gouin (AMU, IUSTI)
https://arxiv.org/abs/2403.20076 https://arxiv.org/pdf/24…

Principle of virtual action in continuum mechanics
We present the principle of virtual action as a foundation of continuum mechanics. Used mainly in relativity, the method has a useful application in classical mechanics and places the notion of action as the basic concept of dynamics. The principle is an extension of virtual work to space-time. It extends the efforts made by d'Alembert and Lagrange. Unlike the classical case of equilibrium, the principle of virtual action becomes a postulate for the formulation of models in dynamics. It a…

The dilaton gravity hologram of double-scaled SYK
Andreas Blommaert, Thomas G. Mertens, Jacopo Papalini
https://arxiv.org/abs/2404.03535 https://

The dilaton gravity hologram of double-scaled SYK
We work out a precise holographic duality between sine dilaton gravity, and DSSYK. More precisely, canonical quantization of sine dilaton gravity reproduces q-Schwarzian quantum mechanics, which is the auxiliary system that arises from the chord diagrams of DSSYK. The role of the chord number in DSSYK is played by the (Weyl rescaled) geodesic length in the bulk. The most puzzling aspect of reconciling DSSYK with a simple gravitational dual at the classical level is the distinction between tempe…

Snake Story: Exploring Game Mechanics for Mixed-Initiative Co-creative Storytelling Games
Daijin Yang, Erica Kleinman, Giovanni Maria Troiano, Elina Tochilnikova, Casper Harteveld
https://arxiv.org/abs/2404.07901

Snake Story: Exploring Game Mechanics for Mixed-Initiative Co-creative Storytelling Games
Mixed-initiative co-creative storytelling games have existed for some time as a way to merge storytelling with play. However, modern mixed-initiative co-creative storytelling games predominantly prioritize story creation over gameplay mechanics, which might not resonate with all players. As such, there is untapped potential for creating mixed-initiative games with more complex mechanics in which players can engage with both co-creation and gameplay goals. To explore the potential of more promin…

A Universal Kinematical Group for Quantum Mechanics
Gerald A. Goldin, David H. Sharp
https://arxiv.org/abs/2404.18274 https://arxiv.o…

A Universal Kinematical Group for Quantum Mechanics
In 1968, Dashen and Sharp obtained a certain singular Lie algebra of local densities and currents from canonical commutation relations in nonrelativistic quantum field theory. The corresponding Lie group is infinite dimensional: the natural semidirect product of an additive group of scalar functions with a group of diffeomorphisms. Unitary representations of this group describe a wide variety of quantum systems, and have predicted previously unsuspected possibilities; notably, anyons and nonabe…

Reduced and All-at-Once Approaches for Model Calibration and Discovery in Computational Solid Mechanics
Ulrich R\"omer, Stefan Hartmann, Jendrik-Alexander Tr\"oger, David Anton, Henning Wessels, Moritz Flaschel, Laura De Lorenzis
https://arxiv.org/abs/2404.16980

Reduced and All-at-Once Approaches for Model Calibration and Discovery in Computational Solid Mechanics
In the framework of solid mechanics, the task of deriving material parameters from experimental data has recently re-emerged with the progress in full-field measurement capabilities and the renewed advances of machine learning. In this context, new methods such as the virtual fields method and physics-informed neural networks have been developed as alternatives to the already established least-squares and finite element-based approaches. Moreover, model discovery problems are starting to emerge…

Data-driven micromorphic mechanics for materials with strain localization
Jacinto Ulloa, Laurent Stainier, Michael Ortiz, Jos\'e E. Andrade
https://arxiv.org/abs/2402.15966

Data-driven micromorphic mechanics for materials with strain localization
This paper explores the role of generalized continuum mechanics, and the feasibility of model-free data-driven computing approaches thereof, in solids undergoing failure by strain localization. Specifically, we set forth a methodology for capturing material instabilities using data-driven mechanics without prior information regarding the failure mode. We show numerically that, in problems involving strain localization, the standard data-driven framework for Cauchy/Boltzmann continua fails to ca…

Basolateral mechanics prevents rigidity transition in epithelial monolayers
Jan Rozman, Matej Krajnc, Primo\v{z} Ziherl
https://arxiv.org/abs/2402.19312 ht…

Basolateral mechanics prevents rigidity transition in epithelial monolayers
The mechanics of epithelial tissues, which is governed by forces generated in various cell domains, is often investigated using two-dimensional models that account for the apically-positioned actomyosin structures but neglect basolateral mechanics. We employ a more detailed three-dimensional model to study how lateral surface tensions affect the structure and rigidity of such tissues. We find that cells are apicobasally asymmetric, with one side appearing more ordered than the other depending o…

[2024-05-06 Mon (UTC), 6 new articles found for cond-mat.stat-mech Statistical Mechanics]

Shadow Hamiltonians of structure-preserving integrators for Nambu mechanics
Atsushi Horikoshi
https://arxiv.org/abs/2403.11612 https://

Shadow Hamiltonians of structure-preserving integrators for Nambu mechanics
Symplectic integrators are widely implemented numerical integrators for Hamiltonian mechanics, which preserve the Hamiltonian structure (symplecticity) of the system. Although the symplectic integrator does not conserve the energy of the system, it is well known that there exists a conserving modified Hamiltonian, called the shadow Hamiltonian. For the Nambu mechanics, which is one of the generalized Hamiltonian mechanics, we can also construct structure-preserving integrators by the same proce…

Non-trivial solution to a simple problem
A. I. Milstein
https://arxiv.org/abs/2405.00050 https://arxiv.org/pdf/2405.00050
arXiv:2405.00050v1 Announce Type: new
Abstract: The problem of finding the frequencies of small longitudinal oscillations of a spring having a finite mass and stiffness, attached at one end to a wall and at the other end to a body of finite mass, is discussed. This problem was repeatedly proposed at Olympiads for schoolchildren, in various lessons on the Internet, and even on tests in mechanics for students of universities. In all the cases known to me, the implied solution was actually wrong. I discuss two cases: (A) a spring lies on a smooth table, (B) a spring is attached to the ceiling. It is shown that the solution to this simply formulated problem is non-trivial.

This https://arxiv.org/abs/2401.00574 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Exact WKB analysis for ${\cal PT}$ symmetric quantum mechanics: Study of the Ai-Bender-Sarkar conjecture
We consider exact WKB analysis to a ${\cal PT}$ symmetric quantum mechanics defined by the potential, $V(x) = ω^2 x^2 + g x^2(i x)^{\varepsilon=2}$ with $ω\in {\mathbb R}_{\ge 0}$, $g \in {\mathbb R} _{> 0}$. We in particular aim to verify a conjecture proposed by Ai-Bender-Sarkar (ABS), that pertains to a relation between $D$-dimensional ${\cal PT}$-symmetric theories and analytic continuation (AC) of Hermitian theories concerning the energy spectrum or Euclidean partition function. For the …

[2024-03-06 Wed (UTC), 5 new articles found for cond-mat.stat-mech Statistical Mechanics]

Speedrunning and path integrals
Gabriele Lami
https://arxiv.org/abs/2403.13008 https://arxiv.org/pdf/2403.13008

Speedrunning and path integrals
In this article we will explore the concept of speedrunning as a representation of a simplified version of quantum mechanics within a classical simulation. This analogy can be seen as a simplified approach to understanding the broader idea that quantum mechanics may emerge from classical mechanics simulations due to the limitations of the simulation. The concept of speedrunning will be explored from the perspective inside the simulation, where the player is seen as a "force of nature" that can …

On the Preprocessing of Physics-informed Neural Networks: How to Better Utilize Data in Fluid Mechanics
Shengfeng Xu, Chang Yan, Zhenxu Sun, Renfang Huang, Dilong Guo, Guowei Yang
https://arxiv.org/abs/2403.19923

On the Preprocessing of Physics-informed Neural Networks: How to Better Utilize Data in Fluid Mechanics
Physics-Informed Neural Networks (PINNs) serve as a flexible alternative for tackling forward and inverse problems in differential equations, displaying impressive advancements in diverse areas of applied mathematics. Despite integrating both data and underlying physics to enrich the neural network's understanding, concerns regarding the effectiveness and practicality of PINNs persist. Over the past few years, extensive efforts in the current literature have been made to enhance this evolving m…

This https://arxiv.org/abs/2211.14925 has been replaced.
link: https://scholar.google.com/scholar?q=a

A Turbulent Fluid Mechanics via Nonlinear 'Mixing' of Smooth Velocity Flows With Weighted Random Fields: Stochastically Averaged Navier-Stokes Equations and Velocity Correlations
Let $\mathfrak{D}\subset\mathbb{R}^{3}$, with ${Vol}(\mathfrak{D})\sim L^{3}$, contain an incompressible fluid of viscosity $ν$ and velocity $\mathrm{U}_{i}(x,t)$ with $(x,t)\in\mathfrak{D}\times[0,\infty)$, satisfying the Navier-Stokes equations with some boundary conditions on $\partial\mathfrak{D}$ and evolving from initial Cauchy data. Now let $\mathscr{B}(x)$ be a Gaussian random field defined for all $x\in\mathfrak{D}$ with expectation $\mathbb{I\!E}\langle\mathscr{B}(x)\rangle=0$, and a…

This https://arxiv.org/abs/2402.19066 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Non-stationary SQM/IST Corespondence and ${\cal CPT}/{\cal PT}$-invariant paired Hamiltonians on the line
We fill some of existed gaps in the correspondence between Supersymmetric Quantum Mechanics and the Inverse Scattering Transform by extending the consideration to the case of paired stationary and non-stationary Hamiltonians. We formulate the corresponding to the case Goursat problem and explicitly construct the kernel of the non-local Inverse Scattering Transform, which solves it. As a result, we find the way of constructing non-hermitian Hamiltonians from the initially hermitian ones, that le…

This https://arxiv.org/abs/2402.14423 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

The Universe as a Learning System
At its microscopic level, the universe follows the laws of quantum mechanics. Focusing on the quantum trajectories of particles as followed from the hydrodynamical formulation of quantum mechanics, we propose that under general requirements, quantum systems follow a disrupted version of the gradient descent model, a basic machine learning algorithm, where the learning is distorted due to the self-organizing process of the quantum system. Such a learning process is possible only when we assume d…

Just Undo It: Exploring Undo Mechanics in Multi-User Virtual Reality
Julian Rasch, Florian Perzl, Yannick Weiss, Florian M\"uller
https://arxiv.org/abs/2403.11756

Just Undo It: Exploring Undo Mechanics in Multi-User Virtual Reality
With the proliferation of VR and a metaverse on the horizon, many multi-user activities are migrating to the VR world, calling for effective collaboration support. As one key feature, traditional collaborative systems provide users with undo mechanics to reverse errors and other unwanted changes. While undo has been extensively researched in this domain and is now considered industry standard, it is strikingly absent for VR systems in research and industry. This work addresses this research gap…

The port-Hamiltonian structure of continuum mechanics
Ramy Rashad, Stefano Stramigioli
https://arxiv.org/abs/2404.12078 https://arxiv…

The port-Hamiltonian structure of continuum mechanics
In this paper we present a novel approach to the geometric formulation of solid and fluid mechanics within the port-Hamiltonian framework, which extends the standard Hamiltonian formulation to non-conservative and open dynamical systems. Leveraging Dirac structures, instead of symplectic or Poisson structures, this formalism allows the incorporation of energy exchange within the spatial domain or through its boundary, which allows for a more comprehensive description of continuum mechanics. Bui…

Chirality and odd mechanics in active columnar phases
S. J. Kole, Gareth P. Alexander, Ananyo Maitra, Sriram Ramaswamy
https://arxiv.org/abs/2404.19514 htt…

Chirality and odd mechanics in active columnar phases
Chiral active materials display odd dynamical effects in both their elastic and viscous responses. We show that the most symmetric mesophase with two-dimensional odd elasticity in three dimensions is chiral, polar and columnar, with two-dimensional translational order in the plane perpendicular to the columns and no elastic restoring force for their relative sliding. We derive its hydrodynamic equations from those of a chiral active variant of model H. The most striking prediction of the odd dy…

Locking-free hybrid high-order method for linear elasticity
Carsten Carstensen, Ngoc Tien Tran
https://arxiv.org/abs/2404.02768 https://

Locking-free hybrid high-order method for linear elasticity
The hybrid-high order (HHO) scheme has many successful applications including linear elasticity as the first step towards computational solid mechanics. The striking advantage is the simplicity among other higher-order nonconforming schemes and its geometric flexibility as a polytopal method on the expanse of a parameter-free refined stabilization. The classical suggestion of a locking-free HHO discretization requires a split of the the reconstruction terms with an additional reconstruction of …

Covariance and symmetry algebras
Antoine Rignon-Bret, Simone Speziale
https://arxiv.org/abs/2403.00730 https://arxiv.org/pdf/2403.007…

Covariance and symmetry algebras
In general relativity as well as gauge theories, non-trivial symmetries can appear at boundaries. In the presence of radiation some of the symmetries are not Hamiltonian vector fields, hence the definition of charges for the symmetries becomes delicate. It can lead to the problem of field-dependent 2-cocycles in the charge algebra, as opposed to the central extensions allowed in standard classical mechanics. We show that if the Wald-Zoupas prescription is implemented, its covariance requirement…

A lattice Boltzmann approach for acoustic manipulation
E. Castro-Avila, P. Malgaretti, J. Harting, J. D. Mu\~noz
https://arxiv.org/abs/2404.02346 https://<…

A lattice Boltzmann approach for acoustic manipulation
We employ a lattice Boltzmann method to compute the acoustic radiation force produced by standing waves on a compressible object. Instead of simulating the fluid mechanics equations directly, the proposed method uses a lattice Boltzmann model that reproduces the wave equation, together with a kernel interpolation scheme, to compute the first order perturbations of the pressure and velocity fields on the object's surface and, from them, the acoustic radiation force. The procedure reproduces with…

This https://arxiv.org/abs/2401.17717 has been replaced.
link: https://scholar.google.com/scholar?q=a

On probabilities in quantum mechanics
This is an attempt to clarify certain concepts related to a debate on the interpretation of quantum mechanics, a debate between Andrei Khrennikov on the one side and Blake Stacey and Rüdiger Schack on the other side. Central to this debate is the notion of quantum probabilities. I first take up the probability concept in the QBist school, and then give my own arguments for the Born formula for calculating quantum probabilities. In that connection I also sketch some consequences of my approach …

[2024-03-05 Tue (UTC), no new articles found for cond-mat.stat-mech Statistical Mechanics]

Just Undo It: Exploring Undo Mechanics in Multi-User Virtual Reality
Julian Rasch, Florian Perzl, Yannick Weiss, Florian M\"uller
https://arxiv.org/abs/2403.11756

Just Undo It: Exploring Undo Mechanics in Multi-User Virtual Reality
With the proliferation of VR and a metaverse on the horizon, many multi-user activities are migrating to the VR world, calling for effective collaboration support. As one key feature, traditional collaborative systems provide users with undo mechanics to reverse errors and other unwanted changes. While undo has been extensively researched in this domain and is now considered industry standard, it is strikingly absent for VR systems in research and industry. This work addresses this research gap…

This https://arxiv.org/abs/2310.18857 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Toward Local Madelung Mechanics in Spacetime
It has recently been shown that relativistic quantum theory leads to a local interpretation of quantum mechanics wherein the universal wavefunction in configuration space is entirely replaced with an ensemble of local fluid equations in spacetime. For want of a fully relativistic quantum fluid treatment, we develop a model using the nonrelativistic Madelung equations, and obtain conditions for them to be local in spacetime. Every particle in the Madelung fluid is equally real, and has a definit…

Trade-off between reconstruction accuracy and physical validity in modeling turbomachinery PIV data by Physics-Informed CNN
Maryam Soltani, Ghasem Akbari, Nader Montazerin
https://arxiv.org/abs/2403.00183

Trade-off between reconstruction accuracy and physical validity in modeling turbomachinery PIV data by Physics-Informed CNN
Particle Image Velocimetry (PIV) data is a valuable asset in fluid mechanics. It is capable of visualizing flow structures even in complex physics scenarios, such as the flow at the exit of the rotor of a centrifugal fan. Machine learning is also a successful companion to PIV in order to increase data resolution or impute experimental gaps. While classical algorithms focus solely on replicating data using statistical metrics, the application of Physics Informed Neural Networks (PINN) contribute…

This https://arxiv.org/abs/2009.10416 has been replaced.
link: https://scholar.google.com/scholar?q=a

Thermalization of isolated quantum many-body system à la entanglement
Thermalization of an isolated quantum system has been a nontrivial problem since the early days of quantum mechanics. In generic isolated quantum systems, nonequilibrium dynamics is expected to result in thermalization, indicating the emergence of statistical mechanics from quantum dynamics. However, what feature of a many-body quantum system facilitates quantum thermalization is still not well understood. Recent experimental advancements have shown that entanglement may act as a thermalizing a…

[2024-03-04 Mon (UTC), 4 new articles found for cond-mat.stat-mech Statistical Mechanics]

Relative state-counting for semiclassical black holes
Chris Akers, Jonathan Sorce
https://arxiv.org/abs/2404.16098 https://arxiv.org/…

Relative state-counting for semiclassical black holes
It has been shown that entropy differences between certain states of perturbative quantum gravity can be computed without specifying an ultraviolet completion. This is analogous to the situation in classical statistical mechanics, where entropy differences are defined but absolute entropy is not. Unlike in classical statistical mechanics, however, the entropy differences computed in perturbative quantum gravity do not have a clear physical interpretation. Here we construct a family of perturbat…

This https://arxiv.org/abs/2402.05450 has been replaced.
link: https://scholar.google.com/scholar?q=a

Causality and a possible interpretation of quantum mechanics
From the ancient Einstein-Podolsky-Rosen paradox to the recent Sorkin-type impossible measurements problem, the contradictions between relativistic causality, quantum non-locality, and quantum measurement have persisted. Our work provides a framework based on quantum field theory to harmoniously integrate these three aspects. This framework consists of causality expressed by reduced density matrices and an interpretation of quantum mechanics that considers quantum mechanics to be complete. Spec…

[2024-04-04 Thu (UTC), 8 new articles found for cond-mat.stat-mech Statistical Mechanics]

This https://arxiv.org/abs/2401.03766 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

TBA equations and exact WKB analysis in deformed supersymmetric quantum mechanics
We study the spectral problem in deformed supersymmetric quantum mechanics with polynomial superpotential by using the exact WKB method and the TBA equations. We apply the ODE/IM correspondence to the Schrödinger equation with an effective potential deformed by integrating out the fermions, which admits a continuous deformation parameter. We find that the TBA equations are described by the ${\mathbb Z}_4$-extended ones. For cubic superpotential corresponding to the symmetric double-well potent…

The intricate path of energy conservation in Quantum Mechanics: exploring Coherent Population Return and laser-matter interaction
\'Alvaro Peralta Conde
https://arxiv.org/abs/2402.14443

The intricate path of energy conservation in Quantum Mechanics: exploring Coherent Population Return and laser-matter interaction
This manuscript explores how a seemingly straightforward inquiry, emerging from the widely accepted semiclassical description of laser-matter interaction, concretely from a well-known adiabatic technique as Coherent Population Return (CPR), can pose a challenge to our comprehension of a fundamental principle in Physics like energy conservation. Throughout our investigation to resolve this apparent paradox, we have delved into fundamental concepts, thereby deepening our understanding of the aspe…

Legendre Transformation under Micro Canonical Ensemble
Jingxu Wu, Chenjia Li, Zhenzhou Lei, Tuerdi Wumaier, Congyu Li, Yan Wang, Zekun Wang
https://arxiv.org/abs/2404.02829

Legendre Transformation under Micro Canonical Ensemble
The Legendre transformation is a crucial tool in theoretical physics, known for its symmetry, especially when applied to multivariate functions. In statistical mechanics, ensembles represent the central focus. Leveraging the dimensionless aspect of Legendre transformation, this paper explores the transformation process from the entropy characteristic function of microcanonical ensembles to the analogous definition of partition function transformation. Additionally, it derives characteristic fun…

This https://arxiv.org/abs/2402.15167 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

$\widetilde{O}(N^2)$ Representation of General Continuous Anti-symmetric Function
In quantum mechanics, the wave function of fermion systems such as many-body electron systems are anti-symmetric (AS) and continuous, and it is crucial yet challenging to find an ansatz to represent them. This paper addresses this challenge by presenting an ${\widetilde O}(N^2)$ ansatz based on permutation-equivariant functions. We prove that our ansatz can represent any AS continuous functions, and can accommodate the determinant-based structure proposed by Hutter [14], solving the proposed op…

Non-stationary SQM/IST Corespondence and ${\cal CPT}/{\cal PT}$-invariant paired Hamiltonians on the line
V. P. Berezovoj, A. J. Nurmagambetov
https://arxiv.org/abs/2402.19066

Non-stationary SQM/IST Corespondence and ${\cal CPT}/{\cal PT}$-invariant paired Hamiltonians on the line
We fill some of existed gaps in the correspondence between Supersymmetric Quantum Mechanics and the Inverse Scattering Transform by extending the consideration to the case of paired stationary and non-stationary Hamiltonians. We formulate the corresponding to the case Goursat problem and explicitly construct the kernel of the non-local Inverse Scattering Transform, which solves it. As a result, we find the way of constructing non-hermitian Hamiltonians from the initially hermitian ones, that le…

[2024-05-03 Fri (UTC), 4 new articles found for cond-mat.stat-mech Statistical Mechanics]

The Universe as a Learning System
Tomer Shushi
https://arxiv.org/abs/2402.14423 https://arxiv.org/pdf/2402.14423

The Universe as a Learning System
At its microscopic level, the universe follows the laws of quantum mechanics. Focusing on the quantum trajectories of particles as followed from the hydrodynamical formulation of quantum mechanics, we propose that under general requirements, quantum systems follow a disrupted version of the gradient descent model, a basic machine learning algorithm, where the learning is distorted due to the self-organizing process of the quantum system. Such a learning process is possible only when we assume d…

This https://arxiv.org/abs/2307.08683 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Quantum Covariance Scalar Products and Efficient Estimation of Max-Ent Projections
The maximum-entropy principle (Max-Ent) is a valuable and extensively used tool in statistical mechanics and quantum information theory. It provides a method for inferring the state of a system by utilizing a reduced set of parameters associated with measurable quantities. However, the computational cost of employing Max-Ent projections in simulations of quantum many-body systems is a significant drawback, primarily due to the computational cost of evaluating these projections. In this work, a …

[2024-04-03 Wed (UTC), 2 new articles found for cond-mat.stat-mech Statistical Mechanics]

This https://arxiv.org/abs/2312.02744 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

p-Adic Quantum Mechanics, the Dirac Equation, and the violation of Einstein causality
This article studies the breaking of the Lorentz symmetry at the Planck length in quantum mechanics. We use three-dimensional p-adic vectors as position variables, while the time remains a real number. In this setting, the Planck length is 1/p, where p is a prime number, and the Lorentz symmetry is naturally broken. The p-adic the Planck length is independent of the speed of light and is determined by the group of symmetries of the space. In the Dirac and von Neumann formalism framework for qua…

Conservation Laws For Every Quantum Measurement Outcome
Daniel Collins, Sandu Popescu
https://arxiv.org/abs/2404.18621 https://arxiv.…

Conservation Laws For Every Quantum Measurement Outcome
In the paradigmatic example of quantum measurements, whenever one measures a system which starts in a superposition of two states of a conserved quantity, it jumps to one of the two states, implying different final values for the quantity that should have been conserved. The standard law of conservation for quantum mechanics handles this jump by stating only that the total distribution of the conserved quantity over repeated measurements is unchanged, but states nothing about individual cases. …