Tootfinder

Poincar\'e on Gibbs and on Probability in Statistical Mechanics
Bruce D. Popp
https://arxiv.org/abs/2505.12168 https://arxiv.org/…

Poincaré on Gibbs and on Probability in Statistical Mechanics
This paper reviews a paper from 1906 by J. Henri Poincaré on statistical mechanics with a background in his earlier work and notable connections to J. Willard Gibbs. Poincaré's paper presents important ideas that are still relevant for understanding the need for probability in statistical mechanics. Poincaré understands the foundations of statistical mechanics as a many-body problem in analytical mechanics (reflecting his 1890 monograph on The Three-Body Problem and the Equations of Dynamics…

The first of four videos by Dr Jorge Diaz:
Einstein's groundbreaking work on radiation that set the basis of the laser and paved the way to Heisenberg's Matrix Mechanics 🧪⚛️ #chemsky
https://youtu.be/_lC6-RUI7PQ

Benchmarks for protocol control in nonequilibrium statistical mechanics
Stephen Whitelam, Corneel Casert, Megan Engel, Isaac Tamblyn
https://arxiv.org/abs/2506.15122

Benchmarks for protocol control in nonequilibrium statistical mechanics
We present a set of computer codes designed to test methods for optimizing time-dependent control protocols in fluctuating nonequilibrium systems. Each problem consists of a stochastic model, an optimization objective, and C++ and Python implementations that can be run on Unix-like systems. These benchmark systems are simple enough to run on a laptop, but challenging enough to test the capabilities of modern optimization methods. This release includes five problems and a worked example. The pro…

Emulation of Self-Consistent Non-Hermitian Quantum Formalisms
Mario Gonzalez, Karin Sim, R. Chitra
https://arxiv.org/abs/2507.13078 https://

Emulation of Self-Consistent Non-Hermitian Quantum Formalisms
Standard quantum mechanics predicts the non-conservation of state norms and probability when the fundamental requirement of the Hermiticity of the Hamiltonian is relaxed. Biorthogonal quantum mechanics, or the more general metric formalism, provides a rigorous formulation of non-Hermitian quantum mechanics wherein norms and probabilities are conserved. The key feature is that the Hilbert space is endowed with a non-trivial dynamical metric. Beyond theoretical considerations, the physical implem…

"Fields" in classical and quantum field theories
Alberto Ibort, Arnau Mas, Luca Schiavone
https://arxiv.org/abs/2506.15327 https://

"Fields" in classical and quantum field theories
The challenges posed by the development of field theories, both classical and quantum, force us to question their most basic and foundational ideas like the role and origin of space-time, the meaning of physical states, etc. Among them the notion of ``field'' itself is notoriously difficult to address. These notes aim to analyze such notion from the perspective offered by the groupoid description of quantum mechanics inspired by Schwinger's picture of quantum mechanics. Then, a natural interpre…

Calamus 37 A leaf for hand in hand!
I continue to have little patience for these Whitman entreaties to American unity. The recitation of place names does little for me. But I do appreciate that he's talking more about loving unity between men than some abstract political message.
You friendly boatmen and mechanics! You roughs! ...
I wish to infuse myself among you till I see it common for you to walk hand in hand.
That's the gay part there. It's pretty mild, but still seems striking of talking about two boatmen or mechanics walking holding hands. One might even see an appeal to rough trade.
I am beginning to understand this Whitman concept of "adhesiveness", a brotherly love that could unify a nation. I still prefer a more sexual gay reading but I think his poems work in both ways.

This https://arxiv.org/abs/2411.13382 has been replaced.
initial toot: https://mastoxiv.page/@arXi…

Recitation tasks revamped? Students' perceptions of smartphone-based experimental and programming tasks in introductory mechanics
This exploratory field study investigates the integration of innovative forms of recitation tasks in a first-year introductory mechanics course, focusing on smartphone-based experimental tasks alongside programming and standard recitation tasks. Smartphones, combined with external sensor modules, serve as a gateway enabling students to conduct various low-cost and authentic physics experiments with first-hand data collection outside traditional lab settings. These tasks aim to enhance students'…

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond
Shreetam Dash, Prasanta K. Panigrahi
https://arxiv.org/abs/2505.11519

The Journey from Planck Distribution to Bose Statistics From Classical to Quantum Mechanics and Beyond
In 1924, Satyendra Nath Bose's pioneering work laid the foundation for Bose-Einstein statistics, which describes particles with integral spins. His derivation of Planck's law for blackbody radiation bypassed classical assumptions, relying instead on the statistical mechanics of light quanta. Bose's methodology addressed limitations in existing theories, such as Einstein's dependence on classical concepts like Wien's displacement law and Bohr's correspondence principle. Further, his work undersc…

Automate at scale. Copilot writes #PowerShell scripts based on Microsoft documentation—just update the placeholders and run.
▶️ A Copilot designed for admins - Introducing Copilot in the Microsoft 365 Admin Center - #Microsoft Mechanics

Interpolation-based reproducing kernel particle method
Jennifer E. Fromm, John A. Evans, J. S. Chen
https://arxiv.org/abs/2506.14916 https://

Interpolation-based reproducing kernel particle method
Meshfree methods, including the reproducing kernel particle method (RKPM), have been widely used within the computational mechanics community to model physical phenomena in materials undergoing large deformations or extreme topology changes. RKPM shape functions and their derivatives cannot be accurately integrated with the Gauss-quadrature methods widely employed for the finite element method (FEM) and typically require sophisticated nodal integration techniques, preventing them from easily be…

The Hamiltonian mechanics of exotic particles
Andrea Amoretti, Daniel K. Brattan, Luca Martinoia
https://arxiv.org/abs/2506.13848 https://

The Hamiltonian mechanics of exotic particles
We develop Hamiltonian mechanics on Aristotelian manifolds, which lack local boost symmetry and admit absolute time and space structures. We construct invariant phase space dynamics, define free Hamiltonians, and establish a generalized Liouville theorem. Conserved quantities are identified via lifted Killing vectors. Extending to kinetic theory, we show that the charge current and stress tensor reproduce ideal hydrodynamics at leading order, with the ideal gas law emerging universally. Our fra…

Critical Reflections on Overcoming a Challenge for Bohmian Mechanics by H. Nikolic and the Experimental Findings of Sharoglazova et al
Miko{\l}aj Sienicki, Krzysztof Sienicki
https://arxiv.org/abs/2507.10989

Critical Reflections on Overcoming a Challenge for Bohmian Mechanics by H. Nikolic and the Experimental Findings of Sharoglazova et al
This paper offers a brief reflection on H. Nikolic's response to the experimental findings of Sharoglazova et al., which challenge Bohmian mechanics. While Nikolic's revision satisfies the continuity equation, it reintroduces assumptions he seeks to avoid and overlooks key empirical and nonlocal aspects of the system. These issues underscore unresolved tensions in applying Bohmian mechanics to complex, interacting regimes.

The Time-Energy Principle in Algebraic Geometry
Renaud Gauthier
https://arxiv.org/abs/2507.13134 https://arxiv.org/pdf/2507.13134

The Time-Energy Principle in Algebraic Geometry
We consider the time-energy uncertainty principle from Quantum Mechanics and provide its Algebro-Geometric interpretation within the context of stacks.

"Uncovering the mechanics of The Games: Winter Challenge"
A story about how an investigation into the game mechanics of an old DOS game turns into much more interesting side quests. Includes 16-bit x86 assembly.
https://mrwint.github.io/winter/writeup/writeup.…

A Study on Effective Initial Guess Finding Method Based on B\'ezier Curves: Orbit Determination Applications
Daegyun Choi, Sungwook Yang, Henzeh Leeghim, Donghoon Kim
https://arxiv.org/abs/2506.13921

A Study on Effective Initial Guess Finding Method Based on Bézier Curves: Orbit Determination Applications
In celestial mechanics, proper orbits related to missions are obtained by solving two-point boundary value problems. Since a selection method of initial value affects the convergence of the solution, developing an effective method to find an initial guess is required. In this work, Bézier curves, which can describe complicated curves and surfaces, are utilized to find the initial guess. First, the given problems are transformed into Bézier curves forms, and Bézier curves' control points, whi…

The Goldilocks zone of governing technology: Leveraging uncertainty for responsible quantum practices
Miriam Meckel, Philipp Hacker, Lea Steinacker, Aurelija Lukoseviciene, Surjo R. Soekadar, Jacob Slosser, Gina-Maria Poehlmann
https://arxiv.org/abs/2507.12957

The Goldilocks zone of governing technology: Leveraging uncertainty for responsible quantum practices
Emerging technologies challenge conventional governance approaches, especially when uncertainty is not a temporary obstacle but a foundational feature as in quantum computing. This paper reframes uncertainty from a governance liability to a generative force, using the paradigms of quantum mechanics to propose adaptive, probabilistic frameworks for responsible innovation. We identify three interdependent layers of uncertainty--physical, technical, and societal--central to the evolution of quantu…

Relativistic second gradient theory of continuous media
Mina Chapon (LMPS), Lionel Darondeau (IMJ-PRG), Rodrigue Desmorat (LMT, LMPS), Cl\'ement Ecker (LMPS), Boris Kolev (LMPS)
https://arxiv.org/abs/2507.13030

Relativistic second gradient theory of continuous media
Variational Relativity is a framework developed by Souriau in the sixties to better formulate General Relativity and its classical limit\,: Classical Continuum Mechanics. It has been used, for instance, to formulate Hyperelasticity in General Relativity. In that case, two primary variables are involved, the universe (Lorentzian) metric $g$ and the matter field $Ψ$. A Lagrangian density depending on the 1-jet of these variables is then introduced which must satisfy the principle of General Cova…

Modeling flying formations as flow-mediated matter
Christiana Mavroyiakoumou, Jiajie Wu, Leif Ristroph
https://arxiv.org/abs/2506.14025 https://

Modeling flying formations as flow-mediated matter
Collective locomotion of swimming and flying animals is fascinating in terms of individual-level fluid mechanics and group-level structure and dynamics. Here we bridge and relate these scales through a model of formation flight that views the collective as a material whose properties arise from the flow-mediated interactions among its members. We build on and revise an aerodynamic model describing how flapping flyers produce vortex wakes and how they are forced by others' wakes. While simplisti…

Energy-consistent dynamic fracture phase field models: unilateral constraints and finite element simulations
Md Mamun Miah, Ryuhei Wakida, Masato Kimura
https://arxiv.org/abs/2506.14788

Energy-consistent dynamic fracture phase field models: unilateral constraints and finite element simulations
Phase field models have emerged as a powerful and flexible framework for simulating complex interface-driven phenomena across a wide range of scientific and engineering applications. In fracture mechanics, the phase field approach--formulated as a gradient flow of the Griffith fracture energy with Ambrosio-Tortorelli regularization--has gained significant attention for its ability to capture complex crack topologies. In this study, we propose a dynamic fracture phase field model (DF-PFM) based …

Multi-centered Black Hole Quantum Mechanics and Generalized Error Functions
Boris Pioline, Rishi Raj
https://arxiv.org/abs/2507.08551 https://

Multi-centered Black Hole Quantum Mechanics and Generalized Error Functions
In type II Calabi-Yau string compactifications, S-duality predicts that suitable generating series of BPS indices counting micro-states of D4-D2-D0 black holes are in general mock modular forms of higher depth. The non-holomorphic contributions needed to cancel the anomaly under modular transformations involve certain indefinite theta series with kernels constructed from generalized error functions. Physically, these contributions are expected to arise from a spectral asymmetry in the continuum…

Decision Models for Selecting Architecture Patterns and Strategies in Quantum Software Systems
Mst Shamima Aktar, Peng Liang, Muhammad Waseem, Amjed Tahir, Mojtaba Shahin, Muhammad Azeem Akbar, Arif Ali Khan, Aakash Ahmad, Musengamana Jean de Dieu, Ruiyin Li
https://arxiv.org/abs/2507.11671

Decision Models for Selecting Architecture Patterns and Strategies in Quantum Software Systems
Quantum software represents disruptive technologies in terms of quantum-specific software systems, services, and applications - leverage the principles of quantum mechanics via programmable quantum bits (Qubits) that manipulate quantum gates (QuGates) - to achieve quantum supremacy in computing. Quantum software architecture enables quantum software developers to abstract away implementation-specific details (i.e., mapping of Qubits and QuGates to high-level architectural components and connect…

Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Fermionic logarithmic negativity in the Krawtchouk chain
Gabrielle Blanchet, Gilles Parez, Luc Vinet

This https://arxiv.org/abs/2412.09453 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCE_…

Finite-PINN: A Physics-Informed Neural Network with Finite Geometric Encoding for Solid Mechanics
PINN models have demonstrated capabilities in addressing fluid PDE problems, and their potential in solid mechanics is beginning to emerge. This study identifies two key challenges when using PINN to solve general solid mechanics problems. These challenges become evident when comparing the limitations of PINN with the well-established numerical methods commonly used in solid mechanics, such as the finite element method (FEM). Specifically: a) PINN models generate solutions over an infinite doma…

Diffusion-Based Hierarchical Graph Neural Networks for Simulating Nonlinear Solid Mechanics
Tobias W\"urth, Niklas Freymuth, Gerhard Neumann, Luise K\"arger
https://arxiv.org/abs/2506.06045

Diffusion-Based Hierarchical Graph Neural Networks for Simulating Nonlinear Solid Mechanics
Graph-based learned simulators have emerged as a promising approach for simulating physical systems on unstructured meshes, offering speed and generalization across diverse geometries. However, they often struggle with capturing global phenomena, such as bending or long-range correlations, and suffer from error accumulation over long rollouts due to their reliance on local message passing and direct next-step prediction. We address these limitations by introducing the Rolling Diffusion-Batched …

In which I spelunk through the low-level mechanics of traversing Nondeterministic Finite Automata. ε-closures FTW! https://www.tbray.org/ongoing/When/202x/2025/07/07/Epsilon-Wrangling
I’m sure that the world’s population contains dozens of people w…

QRS: Epsilon Wrangling

🦴 Scientists 3D-print part of human femur as strong as real bone
#manufacturing

Scientists 3D-print part of human femur as strong as real bone
A group of North Texas doctors and scientists printed part of a human femur—the longest and strongest bone in the body—that mimics the strength, flexibility and overall mechanics of a real femur. The findings were published in 2024 in a study in the Journal of Orthopaedic Research.

Three-Dimensional Rigid-Body Impact Mechanics for Automobile Collisions
Micky Marine
https://arxiv.org/abs/2507.08033 https://arxiv.o…

Three-Dimensional Rigid-Body Impact Mechanics for Automobile Collisions
Two-dimensional (planar) rigid-body impact mechanics for application in automobile collisions have been described by a number of researchers over the last several decades. Little has been discussed, however, regarding three-dimensional rigid-body impact mechanics in this regard. Two commercially available accident simulation programs, PC-Crash and Virtual CRASH, offer three-dimensional rigid-body impact mechanics as one of their collision models but documentation of the complete development of …

Statistical mechanics of fluids with hidden degrees of freedom
Masanari Shimada, Tetsuya J. Kobayashi
https://arxiv.org/abs/2506.10253 https://

Statistical mechanics of fluids with hidden degrees of freedom
Although coarse-grained models have been widely used to explain exotic phenomena in complex fluids, such as droplet formation in living cells, these conventional approaches often fail to capture the intricate microscopic degrees of freedom that such fluids inherently possess. In this study, we propose a model that incorporates distinct microscopic degrees of freedom and their interactions, without directly relying on conventional coarse-grained descriptions. By introducing two key assumptions, …

On the notion of elementary particles on curved space-times
Alberto Ibort, Arnau Mas, Luca Schiavone
https://arxiv.org/abs/2506.14296 https://

On the notion of elementary particles on curved space-times
Wigner's program that identified elementary particles with unitary irreducible representations of Poincaré group, is extended, inspired by the modern categorical/groupoidal picture of Quantum Mechanics, to general Lorentzian space-times.

#potd Galactic Cruise: Another nice board game, smooth mechanics and interesting end conditions. http://domm.plix.at/potd/2025-06-07.html

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat K\"ahler Manifolds
Dongzhe Zheng
https://arxiv.org/abs/2506.11593 https:…

Extension Research of Principal Bundle Constraint System Theory on Ricci-flat Kähler Manifolds
This paper extends the geometric mechanics theory of constraint systems on principal bundles from the flat connection case to the general situation with non-zero curvature. Based on the theoretical foundation of compatible pairs under strong transversality conditions and principal bundle constraint systems, we systematically study the behavior of compatible pair theory in non-flat geometry within the context of Ricci-flat Kähler manifolds. Through rigorous mathematical analysis, we prove that …

[2025-06-19 Thu (UTC), 9 new articles found for cond-mat.stat-mech Statistical Mechanics]
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Prediction of the aqueous redox properties of functionalized quinones using a new QM/MM variational formulation
Maxime Labat, Guillaume Jeanmairet, Emmanuel Giner
https://arxiv.org/abs/2506.12448

Prediction of the aqueous redox properties of functionalized quinones using a new QM/MM variational formulation
We recently proposed a method coupling quantum mechanics (QM) methods and molecular density functional theory (MDFT) to describe mixed quantum-classical systems [J. Chem. Phys. 161, 014113 (2024)]. This approach is particularly appropriate to account for solvent effect into QM calculations. We introduce a new variational formulation for the grand potential of a mixed quantum-classical system. Within the Born-Oppenheimer approximation and neglecting electronic entropy, the quantum solute is desc…

Entanglement-inspired frequency-agile rangefinding
Weijie Nie, Peide Zhang, Alex McMillan, Alex S. Clark, John G. Rarity
https://arxiv.org/abs/2506.11980 h…

Entanglement-inspired frequency-agile rangefinding
Entanglement, a key feature of quantum mechanics, is recognized for its non-classical correlations which have been shown to provide significant noise resistance in single-photon rangefinding and communications. Drawing inspiration from the advantage given by energy-time entanglement, we developed an energy-time correlated source based on a classical laser that preserves the substantial noise reduction typical of quantum illumination while surpassing the quantum brightness limitation by over six…

Self-consciousness and personal identity in quantum panprotopsychism
Rodolfo Gambini, Jorge Pullin
https://arxiv.org/abs/2505.11530 https://

Self-consciousness and personal identity in quantum panprotopsychism
In previous papers, we demonstrated that an ontology of quantum mechanics, described in terms of states and events with internal phenomenal aspects (a form of panprotopsychism), is well suited to explain consciousness. We showed that the combination problems of qualities, structures and subjects in panpsychism and panprotopsychism stem from implicit hypotheses based on classical physics regarding supervenience, which are not applicable at the quantum level. Within this view, consciousness arise…

Disordered pinning models with contact number constraint
Giambattista Giacomin, Marco Zamparo
https://arxiv.org/abs/2507.10707 https://

Disordered pinning models with contact number constraint
Disordered pinning models are statistical mechanics models built on discrete renewal processes: renewal epochs in this context are called \emph{contacts}. It is well known that pinning models can undergo a localization/delocalization phase transition: in the localized phase the typical density of contacts is positive and the largest gap between contacts is at most of the order of the logarithm of the size $n$ of the system, whereas the system is void of contacts in the delocalized phase. When d…

A statistical mechanical view of complex economies under the green transition
Filippo Marcuccini, Giacomo Livan
https://arxiv.org/abs/2506.11739 https://…

A statistical mechanical view of complex economies under the green transition
We propose a stylized model of a complex economy to explore the economic tradeoffs imposed by the so called "green transition" -- the shift towards more sustainable production paradigms -- using tools from the Statistical Mechanics of disordered systems. Namely, we promote the parameters of a standard input-output economic model to random variables, in order to characterize the typical statistical properties of its equilibria. A central feature of our work is the explicit inclusion of a waste v…

[2025-06-20 Fri (UTC), no new articles found for cond-mat.stat-mech Statistical Mechanics]
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A closer look at the algebraic-operator correspondence between position and momentum space in Quantum Mechanics
Siddharth Dwivedi
https://arxiv.org/abs/2506.10950

A closer look at the algebraic-operator correspondence between position and momentum space in Quantum Mechanics
In this work we take a closer look at the algebraic-operator correspondence between the momentum ($k$) space and the position ($x$) space which gives us the form of the momentum operator in position space and vice versa in Quantum Mechanics. Taking the definition of the Fourier Transform as the starting point, we present a two parameter generalisation of the form of the momentum operator in position space followed by a generalisation of the momentum eigenfunctions and a few other results. It is…

This https://arxiv.org/abs/2506.00541 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCV_…

3D Trajectory Reconstruction of Moving Points Based on Asynchronous Cameras
Photomechanics is a crucial branch of solid mechanics. The localization of point targets constitutes a fundamental problem in optical experimental mechanics, with extensive applications in various missions of UAVs. Localizing moving targets is crucial for analyzing their motion characteristics and dynamic properties. Reconstructing the trajectories of points from asynchronous cameras is a significant challenge. It encompasses two coupled sub-problems: trajectory reconstruction and camera synchr…

An interview with Mario Kart World producer Kosuke Yabuki on balancing chaos and accessibility, redesigning core mechanics, and more, ahead of its June 5 launch (Christopher Cruz/Rolling Stone)
https://www.rollingstone.com/culture/rs-ga

The Making of ‘Mario Kart World’: ‘We Have to Think About the Chaos’
Mario Kart World producer Kosuke Yabuki talks the interconnected world, 150cc speed, and the driving cow

Skin Deep (PC)
There's a new pirate queen in space, and she has a hit out on you, insurance commando extraordinaire Nina Pasadena. Get out there and save those cats!
TL;DR: a fun FPS stealth-ish romp with a good sense of humor and mechanics.
Skin Deep is weird, but in a good way. For some reason this universe is populated with voxel cats that crew space ships, and it's your job to get tucked away in cryosleep until pirates hijack them. Then you're woken up and h…

Variable Modified Newtonian Mechanics VII: Supermassive Black Hole at very high redshift
James C. C. Wong
https://arxiv.org/abs/2506.05423 https://

Variable Modified Newtonian Mechanics VII: Supermassive Black Hole at very high redshift
Observations of Supermassive Black Hole (SMBH) at very high redshift hosted by massive galaxy provide a challenge to the SMBH and massive galaxy formation models which are predicated on the Lambda CDM model that predicts a Hubble constant currently in tension with late time observations. In a gravitational system with two asymptotic solutions such as a central mass in an expanding cosmological background or an expanding background with radiation and baryons, we find that a particle's free falli…

Partial decidability protocol for the Wang tiling problem from statistical mechanics and chaotic mapping
Fabrizio Canfora, Marco Cedeno
https://arxiv.org/abs/2507.13268

Partial decidability protocol for the Wang tiling problem from statistical mechanics and chaotic mapping
We introduce a partial decidability protocol for the Wang tiling problem (which is the prototype of undecidable problems in combinatorics and statistical physics) by constructing a suitable mapping from tilings of finite squares of different sizes. Such mapping depends on the initial family of Wang tiles (the alphabet) with which one would like to tile the plane. This allows to define effective entropy and temperature associated to the alphabet (together with the corresponding partition functio…

This https://arxiv.org/abs/2410.00854 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qfi…

Impermanent loss and loss-vs-rebalancing I: some statistical properties
There are two predominant metrics to assess the performance of automated market makers and their profitability for liquidity providers: 'impermanent loss' (IL) and 'loss-versus-rebalance' (LVR). In this short paper we shed light on the statistical aspects of both concepts and show that they are more similar than conventionally appreciated. Our analysis uses the properties of a random walk and some analytical properties of the statistical integral combined with the mechanics of a constant functi…

On the third law of black hole mechanics for supersymmetric black holes
Aidan M. McSharry, Harvey S. Reall
https://arxiv.org/abs/2507.06870 https://…

On the third law of black hole mechanics for supersymmetric black holes
Recently it has been shown that the third law of black hole mechanics can be violated: an exactly extremal Reissner-Nordstrom black hole can form in finite time in gravitational collapse of matter with a large charge to mass ratio. However, it has also been proved that this cannot happen if the matter satisfies a ``supersymmetric'' lower bound on its energy in terms of its charge. This paper proves an analogous result for black holes with a negative cosmological constant. The result states that…

Axioms of Quantum Mechanics in light of Continuous Model Theory
Boris Zilber
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Clean numerical simulation (CNS) of three-dimensional turbulent Kolmogorov flow
Shijie Qin, Shijun Liao
https://arxiv.org/abs/2507.11805 https://

Clean numerical simulation (CNS) of three-dimensional turbulent Kolmogorov flow
Turbulence holds immense importance across various scientific and engineering disciplines. The direct numerical simulation (DNS) of turbulence proposed by Orszag in 1970 is a milestone in fluid mechanics, which began an era of numerical experiment for turbulence. Many researchers have reported that turbulence should be chaotic, since spatiotemporal trajectories are very sensitive to small disturbance. In 2006 E.D. Lorenz discovered that numerical noise might have a great influence on statistic …

Data-Driven Stabilisation of Unstable Periodic Orbits of the Three-Body Problem
Owen M. Brook, Jason J. Bramburger, Davide Amato, Urban Fasel
https://arxiv.org/abs/2507.08630

Data-Driven Stabilisation of Unstable Periodic Orbits of the Three-Body Problem
Many different models of the physical world exhibit chaotic dynamics, from fluid flows and chemical reactions to celestial mechanics. The study of the three-body problem (3BP) and its many different families of unstable periodic orbits (UPOs) have provided fundamental insight into chaotic dynamics as far back as the 19th century. The 3BP, a conservative system, is inherently challenging to sample due to its volume-preservation property. In this paper we present an interpretable data-driven appr…

Numerical approximation of a PDE-constrained Optimization problem that appears in Data-Driven Computational Mechanics
Pedro B. Bazon, Cristian G. Gebhardt, Gustavo C. Buscaglia, Roberto F. Ausas
https://arxiv.org/abs/2506.10894

Numerical approximation of a PDE-constrained Optimization problem that appears in Data-Driven Computational Mechanics
We investigate an optimization problem that arises when working within the paradigm of Data-Driven Computational Mechanics. In the context of the diffusion-reaction problem, such an optimization problem seeks for the continuous primal fields (gradient and flux) that are closest to some predefined discrete fields taken from a material data set. The optimization is performed over primal fields that satisfy the physical conservation law and the geometrical compatibility. We consider a reaction ter…

Cosmic structure from the path integral of classical mechanics and its comparison to standard perturbation theory
Marvin Sipp, Hannes Heisler, Matthias Bartelmann
https://arxiv.org/abs/2507.02692

Cosmic structure from the path integral of classical mechanics and its comparison to standard perturbation theory
We investigate cosmic structure formation in the framework of a path-integral formulation of an $N$-particle ensemble in phase space, dubbed Resummed Kinetic Field Theory (RKFT), up to one-loop perturbative order. In particular, we compute power spectra of the density contrast, the divergence and curl of the momentum density and arbitrary $n$-point cumulants of the stress tensor. In contrast to earlier works, we propose a different method of sampling initial conditions, with a Gaussian initial …

The EPR Paradox of Quantum Mechanics in the Light of Four Unpublished Letters between A. Einstein and the Mathematician J. L. B. Cooper
P. L. Butzer (Lehrstuhl A f\"ur Mathematik, RWTH Aachen, Aachen, Germany), D. E. Edmunds (Department of Mathematics, University of Sussex, Brighton, U. K), G. Roepstorff (Department of Mathematics, University of Erlangen-Nuremberg, Erlangen, Germany), G. Schmeisser (Department of Mathematics, University of Erlangen-Nuremberg, Erlangen, Germany), R…

The EPR Paradox of Quantum Mechanics in the Light of Four Unpublished Letters between A. Einstein and the Mathematician J. L. B. Cooper
This paper presents correspondence between Albert Einstein and the mathematical analyst J. L. B. Cooper on the Einstein-Podolsky-Rosen (EPR) paradox of quantum theory published in 1935. Two letters written by Cooper, and the replies from Einstein, all written between October and December 1949, are retyped from the original ones. Furthermore, Einstein's second letter, which he wrote in German, is translated into English. The lack of agreement, arising from very different points of view, is analy…

Modulator-free, self-testing quantum random number generator
Ana Bl\'azquez-Co\'ido, Fadri Gr\"unenfelder, Anthony Martin, Raphael Houlmann, Hugo Zbinden, Davide Rusca
https://arxiv.org/abs/2507.12346

Modulator-free, self-testing quantum random number generator
Quantum random number generators (QRNGs) use the inherent unpredictability of quantum mechanics to generate true randomness, as opposed to classical random number generators. However, ensuring the authenticity of this randomness still requires robust verification. Self-testing QRNGs address this need by enabling the validation of the randomness produced based on the observed data from the experiment while requiring few assumptions. In this work, we present a practical, self-testing QRNG designe…

Developing Artificial Mechanics Intuitions from Extremely Small Data
Jingruo Peng, Shuze Zhu
https://arxiv.org/abs/2506.20148 https://

Developing Artificial Mechanics Intuitions from Extremely Small Data
Humans can possess good mechanics intuitions by learning from a few examples, which leads to the question of how to develop artificial mechanics intuitions that can be learned from small data, as we are eagerly entering the era of artificial intelligence. We propose in this Letter the sample-switchable training method, which successfully develops highly-accurate artificial mechanics intuitions that can master brachistochrone problem, catenary problem, and large nonlinear deformation problem of …

From Symmetry to Structure: Gauge-Invariant Operators in Multi-Matrix Quantum Mechanics
Robert de Mello Koch, Minkyoo Kim, Hendrik J. R. Van Zyl
https://arxiv.org/abs/2507.01219

From Symmetry to Structure: Gauge-Invariant Operators in Multi-Matrix Quantum Mechanics
Recently the algebraic structure of gauge-invariant operators in multi-matrix quantum mechanics has been clarified: this space forms a module over a freely generated ring. The ring is generated by a set of primary invariants, while the module structure is determined by a finite set of secondary invariants. In this work, we show that the number of primary invariants can be computed by performing a complete gauge fixing, which identifies the number of independent physical degrees of freedom. We t…

Strain dependent viscous response describes the mechanics of cohesionless soft granular materials
Chandan Shakya, Luca Placidi, Anil Misra, Lars Kool, Anke Lindner, Jasper van der Gucht, Joshua A. Dijksman
https://arxiv.org/abs/2506.08855

Strain dependent viscous response describes the mechanics of cohesionless soft granular materials
Granular materials are ubiquitous in nature and are used extensively in daily life and in industry. The modeling of these materials remains challenging; therefore, finding models with acceptable predictive accuracy that at the same time also reflect the complexity of the granular dynamics is a central research theme in the field. Soft particle packings present additional modeling challenges, as it has become clear that soft particles also have particle-level relaxation timescales that affect th…

Blowing in a drinking straw: introducing quantum physics
Lorenzo Galante
https://arxiv.org/abs/2506.11524 https://arxiv.org/pdf/2506.…

Blowing in a drinking straw: introducing quantum physics
We present an educational approach aimed at introducing the fundamental concepts of quantum mechanics (QM). By exploiting the formal analogy between sound wave behavior in an acoustic pipe (a drinking straw) and the quantum infinite square potential well, we provide an intuitive framework that explains the origin of energy quantization in bound quantum systems (such as atoms), introduces the concept of wave function (WF), and lays the groundwork for discussing the Heisenberg uncertainty relatio…

The stability of long-range order in disordered systems: A generalized Ding-Zhuang argument
Yejia Chen, Jianwen Zhou, Ruifeng Liu, Hai-Jun Zhou
https://arxiv.org/abs/2507.11445

The stability of long-range order in disordered systems: A generalized Ding-Zhuang argument
The stability of long-range order against quenched disorder is a central problem in statistical mechanics. This paper develops a generalized framework extending the Ding-Zhuang method and integrated with the Pirogov-Sinai framework, establishing a systematic scheme for studying phase transitions of long-range order in disordered systems. We axiomatize the Ding-Zhuang approach into a theoretical framework consisting of the Peierls condition and a local symmetry condition. For systems in dimensio…

Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
Promoting Fluctuation Theorems into Covariant Forms

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[3/3]:
Quantum Mechanics in Curved Space(time) with a Noncommutative Geometric Perspective

Replaced article(s) found for gr-qc. https://arxiv.org/list/gr-qc/new
[1/1]:
Horizon quantum mechanics for coherent quantum black holes
https://

Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Emergence of universality in transport of noisy free fermions
Jo\~ao Costa, Pedro Ribeiro, Andrea De Luca

Entropic Dynamics approach to Relational Quantum Mechanics
Ariel Caticha, Hassaan Saleem
https://arxiv.org/abs/2506.07921 https://arx…

Entropic Dynamics approach to Relational Quantum Mechanics
The general framework of Entropic Dynamics (ED) is used to construct non-relativistic models of relational quantum mechanics from well known inference principles -- probability, entropy and information geometry. Although only partially relational -- the absolute structures of simultaneity and Euclidean geometry are still retained -- these models provide a useful testing ground for ideas that will prove useful in the context of more realistic relativistic theories. The fact that in ED the positi…

Bubble Dynamics Transformer: Microrheology at Ultra-High Strain Rates
Lehu Bu, Zhaohan Yu, Shaoting Lin, Jan N. Fuhg, Jin Yang
https://arxiv.org/abs/2506.11936

Bubble Dynamics Transformer: Microrheology at Ultra-High Strain Rates
Laser-induced inertial cavitation (LIC)-where microscale vapor bubbles nucleate due to a focused high-energy pulsed laser and then violently collapse under surrounding high local pressures-offers a unique opportunity to investigate soft biological material mechanics at extremely high strain rates (>1000 1/s). Traditional rheological tools are often limited in these regimes by loading speed, resolution, or invasiveness. Here we introduce novel machine learning (ML) based microrheological framewo…

Balanced quasistatic evolutions of critical points in metric spaces
Stefano Almi, Massimo Fornasier, Jona Klemenc, Alessandro Scagliotti
https://arxiv.org/abs/2506.09812

Balanced quasistatic evolutions of critical points in metric spaces
Quasistatic evolutions of critical points of time-dependent energies exhibit piecewise smooth behavior, making them useful for modeling continuum mechanics phenomena like elastic-plasticity and fracture. Traditionally, such evolutions have been derived as vanishing viscosity and inertia limits, leading to balanced viscosity solutions. However, for nonconvex energies, these constructions have been realized in Euclidean spaces and assume non-degenerate critical points. In this paper, we take a di…

Mechanics Simulation with Implicit Neural Representations of Complex Geometries
Samundra Karki, Ming-Chen Hsu, Adarsh Krishnamurthy, Baskar Ganapathysubramanian
https://arxiv.org/abs/2507.03087

Mechanics Simulation with Implicit Neural Representations of Complex Geometries
Implicit Neural Representations (INRs), characterized by neural network-encoded signed distance fields, provide a powerful means to represent complex geometries continuously and efficiently. While successful in computer vision and generative modeling, integrating INRs into computational analysis workflows, such as finite element simulations, remains underdeveloped. In this work, we propose a computational framework that seamlessly combines INRs with the Shifted Boundary Method (SBM) for high-fi…

The mechanics of disclination emergence in 3D active nematics
Yingyou Ma, Christopher Amey, Aparna Baskaran, Michael F. Hagan
https://arxiv.org/abs/2506.22785

The mechanics of disclination emergence in 3D active nematics
The spontaneous creation of disclinations is a defining characteristic of active nematics, which is rarely observed in equilibrium systems or other active matter systems. Thus, understanding the mechanics of disclinations is crucial for developing reliable continuum theories and practical applications. In this work, we explore this intrinsic mechanics by performing large-scale 3D simulations of a particle-based model of active semiflexible filaments. We investigate the effects of filament stiff…

The Integral Decimation Method for Quantum Dynamics and Statistical Mechanics
Ryan T. Grimm, Alexander J. Staat, Joel D. Eaves
https://arxiv.org/abs/2506.11341

The Integral Decimation Method for Quantum Dynamics and Statistical Mechanics
We present a method to numerically evaluate functional integrals called integral decimation (ID). It constructs a separable decomposition of the integrand as a spectral tensor train (STT), a continuous generalization of the matrix product state. ID builds the STT by mapping the integrand to an auxiliary many-body wavefunction that evolves in time from an initially unentangled state. Each body-ordered term of the action corresponds to a quantum gate, applied to the state during its evolution. Th…

[2025-07-18 Fri (UTC), 3 new articles found for cond-mat.stat-mech Statistical Mechanics]
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Secure quantum key distribution against correlated leakage source
Jia-Xuan Li, Yang-Guang Shan, Rong Wang, Feng-Yu Lu, Zhen-Qiang Yin, Shuang Wang, Wei Chen, De-Yong He, Guang-Can Guo, Zheng-Fu Han
https://arxiv.org/abs/2507.11251

Secure quantum key distribution against correlated leakage source
Quantum key distribution (QKD) provides information theoretic security based on quantum mechanics, however, its practical deployment is challenged by imperfections of source devices. Among various source loopholes, correlations between transmitted pulses pose a significant yet underexplored security risk, potentially compromising QKD's theoretical guarantees. In this work, we propose a security analysis framework for QKD under correlations, enabling finite-key analysis for the first time by ext…

[2025-06-18 Wed (UTC), 10 new articles found for cond-mat.stat-mech Statistical Mechanics]
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A description of classical field equations using extensions of graded Poisson brackets
Manuel de Le\'on, Rub\'en Izquierdo-L\'opez
https://arxiv.org/abs/2507.04743

A description of classical field equations using extensions of graded Poisson brackets
As it is well-known, Poisson brackets play a fundamental role both in mechanics and in classical field theories. In this paper we develop a theory of extensions of graded Poisson brackets in graded Dirac manifolds. We then show how these extensions can be used to obtain the field equations of a particular theory as well as the evolution of forms of arbitrary order, in a similar way that ordinary Poisson brackets provide in mechanics.

A structure-preserving and thermodynamically compatible cell-centered Lagrangian finite volume scheme for continuum mechanics
Walter Boscheri, Michael Dumbser, Raphael Loub\`ere, Pierre-Henri Maire
https://arxiv.org/abs/2506.03081

A structure-preserving and thermodynamically compatible cell-centered Lagrangian finite volume scheme for continuum mechanics
In this work we present a novel structure-preserving scheme for the discretization of the Godunov-Peshkov-Romenski (GPR) model of continuum mechanics written in Lagrangian form. This model admits an extra conservation law for the total energy (first principle of thermodynamics) and satisfies the entropy inequality (second principle of thermodynamics). Furthermore, in the absence of algebraic source terms, the distortion field of the continuum and the specific thermal impulse satisfy a curl-free…

Suppressing excitations in the nonlinear Landau-Zener model
Sebastian Deffner, Steve Campbell
https://arxiv.org/abs/2506.11759 https://

Suppressing excitations in the nonlinear Landau-Zener model
Many complex quantum systems can be described by effectively nonlinear dynamics. While such dynamics have many appealing characteristics, they also make the analysis significantly more involved. This is due to the fact that only a few analytical treatments exist, and that the language of quantum mechanics is built for linear operators. For instance, the very formulation of the quantum adiabatic theorem requires the underlying dynamics to be linear. In this work we show that in a generalized Lan…

On the fracture mechanics validity of small scale tests
C. Cui, L. Cupertino-Malheiros, Z. Xiong, E. Mart\'inez-Pa\~neda
https://arxiv.org/abs/2506.02538

On the fracture mechanics validity of small scale tests
There is growing interest in conducting small-scale tests to gain additional insight into the fracture behaviour of components across a wide range of materials. For example, micro-scale mechanical tests inside of a microscope (\emph{in situ}) enable direct, high-resolution observation of the interplay between crack growth and microstructural phenomena (e.g., dislocation behaviour or the fracture resistance of a particular interface), and sub-size samples are increasingly used when only a limite…

Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
On data and dimension in chemistry -- irreversibility, concealment and emergent conservation laws

Koopman-von Neumann Field Theory
James Stokes
https://arxiv.org/abs/2507.11541 https://arxiv.org/pdf/2507.11541

Koopman-von Neumann Field Theory
The classical many-body problem is reformulated as a bosonic quantum field theory. Quantum field operators evolve unitarily in the Heisenberg picture so that a quantum Vlasov equation is satisfied as an operator identity. The formalism enables the direct transfer of techniques from quantum information and quantum many-body field theory to classical nonequilibrium statistical mechanics. Implications for quantum algorithms are discussed.

Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Effective one-dimension reduction of multi-compartment complex systems dynamics
Giorgio Vittorio Visco, Johannes Nauta, Tomas Scagliarini, Oriol Artime, M…

This https://arxiv.org/abs/2506.00408 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Old Quantum Mechanics by Bohr and Sommerfeld from a Modern Perspective
We review Bohr's atomic model and its extension by Sommerfeld from a mathematical perspective of wave mechanics. The derivation of quantization rules and energy levels is revisited using semiclassical methods. Sommerfeld-type integrals are evaluated by elementary techniques, and connections with the Schrödinger and Dirac equations are established. Historical developments and key transitions from classical to quantum theory are discussed to clarify the structure and significance of the old quan…

Wave Mechanics and C-equivalence
Satyanad Kichenassamy (LMR)
https://arxiv.org/abs/2507.07069 https://arxiv.org/pdf/2507.07069…

Wave Mechanics and C-equivalence
We establish that de Broglie's wave, as it is introduced in his Thesis, is not a wave on a given space, but on the contrary itself determines a system in which Special Relativity is locally valid. This local system is a physical object, that defines its own units of length and time. C-equivalence provides a natural framework both for its mathematical description and its physical interpretation.

[2025-06-17 Tue (UTC), 7 new articles found for cond-mat.stat-mech Statistical Mechanics]
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This https://arxiv.org/abs/2310.14634 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Rules and Meaning in Quantum Mechanics
This book concerns the metasemantics of quantum mechanics (QM). Roughly, it pursues an investigation at the intersection of philosophy of physics and philosophy of language, and it offers a critical analysis of rival explanations of the semantic facts of standard QM. Two problems for such explanations are discussed: categoricity and permanence. New results include 1) a reconstruction of Einstein's incompleteness argument, which concludes that a local, separable, and categorical QM cannot exist,…

[2025-07-17 Thu (UTC), 6 new articles found for cond-mat.stat-mech Statistical Mechanics]
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Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
A universally applicable approach to connectivity percolation

Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Optimal Estimation of Temperature
Shaoyong Zhang, Zhaoyu Fei, Xiaoguang Wang

Comparing probability distributions: application to quantum states of light
Soumyabrata Paul, V. Balakrishnan, S. Ramanan, S. Lakshmibala
https://arxiv.org/abs/2506.10760

Comparing probability distributions: application to quantum states of light
Probability distributions play a central role in quantum mechanics, and even more so in quantum optics with its rich diversity of theoretically conceivable and experimentally accessible quantum states of light. Quantifiers that compare two different states or density matrices in terms of `distances' between the respective probability distributions include the Kullback-Leibler divergence $D_{\rm KL}$, the Bhattacharyya distance $D_{\rm B}$, and the $p$-Wasserstein distance $W_{p}$. We present a …

This https://arxiv.org/abs/2409.17061 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Against (unitary) interpretation (of quantum mechanics): removing the metaphysical load
On 6 June 1925 Heisenberg arrived at Helgoland/Heligoland island to escape a fit of hay fever. He returned with a sketch of a strange theory of the micro-world of atoms, which we now call quantum mechanics. This e-print of ours attempts to present a look on that theory which tries to return to the original insight of Heisenberg, on what should be the essence of a theory of atomic realm: it must be a theory of the observable events, in which fundamentally unobservable quantities have no place. N…

[2025-06-16 Mon (UTC), 10 new articles found for cond-mat.stat-mech Statistical Mechanics]
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[2025-07-16 Wed (UTC), 10 new articles found for cond-mat.stat-mech Statistical Mechanics]
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Quantifying imaginarity of quantum operations
Chuanfa Wu, Zhaoqi Wu
https://arxiv.org/abs/2506.09747 https://arxiv.org/pdf/2506.09747…

Quantifying imaginarity of quantum operations
Complex numbers are theoretically proved and experimentally confirmed as necessary in quantum mechanics and quantum information, and a resource theory of imaginarity of quantum states has been established. In this work, we establish a framework to quantify the imaginarity of quantum operations from the perspective of the ability to create or detect imaginarity, following the idea by Theurer {\it et al.} [Phys. Rev. Lett. \textbf{122}, 190405 (2019)] used in coherence theory. We present two type…

The robustness of composite pulses elucidated by classical mechanics: Stability around the globe
Jonathan Berkheim, David J. Tannor
https://arxiv.org/abs/2507.01364

The robustness of composite pulses elucidated by classical mechanics: Stability around the globe
Composite Pulses (CPs) are widely used in Nuclear Magnetic Resonance (NMR), optical spectroscopy, optimal control experiments and quantum computing to manipulate systems that are well-described by a two-level Hamiltonian. A careful design of these pulses can allow the refocusing of an ensemble at a desired state, even if the ensemble experiences imperfections in the magnitude of the external field or resonance offsets. Since the introduction of CPs, several theoretical justifications for their …

Two imaginarity monotones induced by unified $(\alpha,\beta)$-relative entropy
Chuanfa Wu, Zhaoqi Wu
https://arxiv.org/abs/2506.09799 https://

Two imaginarity monotones induced by unified $(α,β)$-relative entropy
Complex numbers play a pivotal role in both mathematics and physics, particularly in quantum mechanics, and are extensively utilized to depict the behavior of microscopic particles. Recognizing the significance of complex numbers, a framework of imaginarity resource theory has recently been established. In this work, we propose two types of imaginarity monotones induced by the unified $(α,β)$-relative entropy and investigate their properties. Moreover, we give explicit examples to illustrate …

Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Wehrl Entropy and Entanglement Complexity of Quantum Spin Systems
Chen Xu, Yiqi Yu, Peng Zhang

Physical Observers and Quantum Reconstructions
Dorian Daimer, Susanne Still
https://arxiv.org/abs/2506.01561 https://arxiv.org/pdf/25…

Physical Observers and Quantum Reconstructions
There is a multitude of interpretations of quantum mechanics, but foundational principles are lacking. Relational quantum mechanics views the observer as a physical system, which allows for an unambiguous interpretation as all axioms are purely operational, describing the observer's information acquisition. The approach, however, is based on the premise that the observer retains only predictive information about the observed system. Here, we justify this premise using the following principle: P…

State Change via One-Dimensional Scattering in Quantum Mechanics
Olivia Pomerenk, Charles S. Peskin
https://arxiv.org/abs/2506.24090 https://

State Change via One-Dimensional Scattering in Quantum Mechanics
We consider a pair of particles that interact in a one-dimensional setting via a delta-function potential. One of the particles is confined to a one-dimensional box, and the other particle is free. The free particle is incident from the left with specified energy, and it may cause changes in state of the confined particle before flying away to the left or to the right. We present a non-perturbative formulation and computational scheme that determines the probability of any such outcome, as a fu…

[2025-07-14 Mon (UTC), 8 new articles found for cond-mat.stat-mech Statistical Mechanics]
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This https://arxiv.org/abs/2502.10523 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

The Quantum Wave Function as a Complex Probability Distribution
This paper suggests an interpretation for the wave function, based on some elements of Nelson's stochastic mechanics, the time-symmetric laws of quantum theory and complex probabilities. Our main purpose is to demonstrate that the wave function and its complex conjugate can be interpreted as complex probability densities (or quasi-probability distributions) related to non-real forward and backward in time stochastic motion respectively. Those two quasi-Brownian motions serve as mathematical abs…

[2025-06-13 Fri (UTC), 1 new article found for cond-mat.stat-mech Statistical Mechanics]
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Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Learning to control non-equilibrium dynamics using local imperfect gradients
Carlos Floyd, Aaron R. Dinner, Suriyanarayanan Vaikuntanathan