Tootfinder

This https://arxiv.org/abs/2412.03477 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Analysis of the multi-dimensional semi-discrete Active Flux method using the Fourier transform
The degrees of freedom of Active Flux are cell averages and point values along the cell boundaries. These latter are shared between neighbouring cells, which gives rise to a globally continuous reconstruction. The semi-discrete Active Flux method uses its degrees of freedom to obtain Finite Difference approxi\-mations to the spatial derivatives which are used in the point value update. The averages are updated using a quadrature of the flux and making use of the point values as quadrature point…

Hydrodynamic noise in one dimension: projected Kubo formula and its vanishing in integrable models
Benjamin Doyon
https://arxiv.org/abs/2506.05279 https://…

Hydrodynamic noise in one dimension: projected Kubo formula and its vanishing in integrable models
Hydrodynamic noise is the Gaussian process that emerges at larges scales of space and time in many-body systems. It arises by the central limit theorem applied to local microcanonical averages, representing the degrees of freedom that have been forgotten when projecting coarse-grained observables onto conserved quantities. It comes with "bare" diffusion terms. In one dimension of space, nonlinearities of the hydrodynamic equation are relevant (from a renormalisation perspective), usually giving…

This https://arxiv.org/abs/2504.13197 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Superzone gap formation induced by ferroic orders
We demonstrate that a superzone gap, typically associated with antiferroic ordering, can also emerge from ferroic orders in systems with sublattice degrees of freedom. By analyzing a $p$-orbital tight-binding model on a zigzag chain, we show that a Su--Schrieffer--Heeger-type gap is induced by ferroquadrupolar or ferromagnetic order or by applying an external magnetic field.

This https://arxiv.org/abs/2410.19585 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the computation of accurate initial conditions for linear higher-index differential-algebraic equations and its application in initial value solvers
In contrast to regular ordinary differential equations, the problem of accurately setting initial conditions just emerges in the context of differential-algebraic equations where the dynamic degree of freedom of the system is smaller than the absolute dimension of the described process, and the actual lower-dimensional configuration space of the system is deeply implicit. For linear higher-index differential-algebraic equations, we develop an appropriate numerical method based on properties of …

In pictures: Reclaim the Streets rides again #ReclaimTheStreets

Spin vs. position conjugation in quantum simulations with atoms: application to quantum chemistry
N. A. Moroz (Quantum Technology Centre, M.V. Lomonosov Moscow State University), K. S. Tikhonov (St. Petersburg State University and Russian Quantum Center, Russian Quantum Center), L. V. Gerasimov (Quantum Technology Centre, M.V. Lomonosov Moscow State University, Centre for Interdisciplinary Basic Research, HSE University), A. D. Manukhova (Department of Optics, Palacky University), I. B…

Spin vs. position conjugation in quantum simulations with atoms: application to quantum chemistry
The permutation symmetry is a fundamental attribute of the collective wavefunction of indistinguishable particles. It makes a difference for the behavior of collective systems having different quantum statistics but existing in the same environment. Here we show that for some specific quantum conjugation between the spin and spatial degrees of freedom the indistinguishable particles can behave similarly for either quantum statistics. In particular, a mesoscopically scaled collection of atomic q…

This https://arxiv.org/abs/2409.01198 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

Direct Kinematics, Inverse Kinematics, and Motion Planning of 1-DoF Rational Linkages
This study presents a set of algorithms that deal with trajectory planning of rational single-loop mechanisms with one degree of freedom (DoF). Benefiting from a dual quaternion representation of a rational motion, a formula for direct (forward) kinematics, a numerical inverse kinematics algorithm, and the generation of a driving-joint trajectory are provided. A novel approach using the Gauss-Newton search for the one-parameter inverse kinematics problem is presented. Additionally, a method for…

Kink Dynamics in a Non-Autonomous Sine-Gordon Model
Tomasz Dobrowolski, Jacek Gatlik, Zofia Bry{\l}owska, Panayotis G. Kevrekidis
https://arxiv.org/abs/2506.03055

Kink Dynamics in a Non-Autonomous Sine-Gordon Model
The sine-Gordon model with space- and time-dependent parameters is considered. A highly accurate effective model with two degrees of freedom is constructed, allowing the description of the kink movement in this model even for extremely long times and nontrivial trajectories of the coherent structure. As a stringent test of the reduced order model, the case of a temporal drive leading to extremely complex kink motion is studied. The two-degree-of-freedom approximation is found to faithfully repr…

EyeNavGS: A 6-DoF Navigation Dataset and Record-n-Replay Software for Real-World 3DGS Scenes in VR
Zihao Ding, Cheng-Tse Lee, Mufeng Zhu, Tao Guan, Yuan-Chun Sun, Cheng-Hsin Hsu, Yao Liu
https://arxiv.org/abs/2506.02380

EyeNavGS: A 6-DoF Navigation Dataset and Record-n-Replay Software for Real-World 3DGS Scenes in VR
3D Gaussian Splatting (3DGS) is an emerging media representation that reconstructs real-world 3D scenes in high fidelity, enabling 6-degrees-of-freedom (6-DoF) navigation in virtual reality (VR). However, developing and evaluating 3DGS-enabled applications and optimizing their rendering performance, require realistic user navigation data. Such data is currently unavailable for photorealistic 3DGS reconstructions of real-world scenes. This paper introduces EyeNavGS (EyeNavGS), the first publicly…

Static Electric Dipole Polarizability and Hyperpolarizability Tensors from Mean-Field Cavity Quantum Electrodynamics Approaches
A. Eugene DePrince III, Stephen H. Yuwono
https://arxiv.org/abs/2506.00217

Static Electric Dipole Polarizability and Hyperpolarizability Tensors from Mean-Field Cavity Quantum Electrodynamics Approaches
First-order electric dipole response functions are implemented for cavity quantum electrodynamics (QED) generalizations of Hartree-Fock (HF) and Kohn-Sham density functional theory (DFT) in order to assess the degree to which static molecular response properties are impacted by interactions between electronic degrees of freedom and an optical cavity mode. Isotropically averaged static electric dipole polarizability tensors from QED-HF and QED-DFT are found to be somewhat insensitive to the pres…