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We consider a model of quantum dynamical semigroup on a finite dimensional fermionic space, obtained as the continuous-time limit of a repeated interactions model between a system and several thermal baths, with a dynamic driven by…

Mathematical Physics · Physics 2019-10-04 Andreys Simon

We investigate the behavior of entanglement between a single fermionic level and a fermionic bath in three distinct thermodynamic regimes. First, in thermal equilibrium, we analyze the dependence of entanglement on the considered…

Quantum Physics · Physics 2024-03-08 Krzysztof Ptaszynski , Massimiliano Esposito

It is shown numerically that for Fermi Pasta Ulam (FPU) chains with alternating masses and heat baths at slightly different temperatures at the ends, the local temperature (LT) on small scales behaves paradoxically in steady state. This…

Statistical Mechanics · Physics 2009-11-11 Trieu Mai , Abhishek Dhar , Onuttom Narayan

All possible symmetry-determined nonlinear normal modes (also called by simple periodic orbits, one-mode solutions etc.) in both hard and soft Fermi-Pasta-Ulam-$\beta$ chains are discussed. A general method for studying their stability in…

Pattern Formation and Solitons · Physics 2015-06-03 G. M. Chechin , D. S. Ryabov

We consider a linear Fermi-Pasta-Ulam-Tsingou lattice with random spatially varying material coefficients. Using the methods of stochastic homogenization we show that solutions with long wave initial data converge in an appropriate sense to…

Analysis of PDEs · Mathematics 2021-04-02 Joshua A. McGinnis , J. Douglas Wright

We investigate the nonequilibrium evolution of the quark-meson model using two-particle irreducible effective action techniques. Our numerical simulations, which include the full dynamics of the order parameter of chiral symmetry, show how…

High Energy Physics - Phenomenology · Physics 2020-08-04 Linda Shen , Jürgen Berges , Jan M. Pawlowski , Alexander Rothkopf

We introduce a generalized $d$-dimensional Fermi-Pasta-Ulam (FPU) model in presence of long-range interactions, and perform a first-principle study of its chaos for $d=1,2,3$ through large-scale numerical simulations. The nonlinear…

Statistical Mechanics · Physics 2016-06-28 Debarshee Bagchi , Constantino Tsallis

We study the long-time behaviour and the spatial correlations of a simple ferromagnetic spin system whose kinetics is governed by a thermal bath with a time-dependent temperature which is characterized by a given external relaxation time…

Statistical Mechanics · Physics 2008-11-26 Alan Picone , Malte Henkel , Jean Richert

We study the time scale T to equipartition in a 1D lattice of N masses coupled by quartic nonlinear (hard) springs (the Fermi-Pasta-Ulam beta model). We take the initial energy to be either in a single mode gamma or in a package of low…

chao-dyn · Physics 2009-10-31 J. De Luca , A. Lichtenberg , S. Ruffo

We developed a perturbative calculation for entropy dynamics considering a sudden coupling between a system and a bath. The theory we developed can work in general environment without Markovian approximation. A perturbative formula is given…

High Energy Physics - Theory · Physics 2021-05-12 Yu Chen

We investigate the stochastic dynamics of a thermal machine realized by a fast-driven Otto cycle. By employing a stochastic approach, we find that system coherences strongly affect fluctuations depending on the thermodynamic current.…

Mesoscale and Nanoscale Physics · Physics 2023-06-07 Ana Laura Gramajo , Elisabetta Paladino , Jukka Pekola , Rosario Fazio

Phase modulation has scarcely been mentioned in diffusive systems since the diffusion process does not carry momentum like waves. Recently, the non-Hermitian physics provides a new perspective for understanding diffusion and shows prospects…

Applied Physics · Physics 2023-09-27 Pei-Chao Cao , Ran Ju , Dong Wang , Minghong Qi , Yun-Kai Liu , Yu-Gui Peng , Hongsheng Chen , Xue-Feng Zhu , Ying Li

We study the inhomogeneous kinetic Fermi-Pasta-Ulam (FPU) equation, a nonlinear transport equation describing the evolution of phonon density distributions with four-phonon interactions. The equation combines free transport in physical…

Analysis of PDEs · Mathematics 2025-12-25 Haoling Xiang

We use the perturbative renormalization group to study classical stochastic processes with memory. We focus on the generalized Langevin dynamics of the \phi^4 Ginzburg-Landau model with additive noise, the correlations of which are local in…

Statistical Mechanics · Physics 2015-03-19 Julius Bonart , Leticia F. Cugliandolo , Andrea Gambassi

The one-dimensional Ising model is easily generalized to a \textit{genuinely nonequilibrium} system by coupling alternating spins to two thermal baths at different temperatures. Here, we investigate the full time dependence of this system.…

Statistical Mechanics · Physics 2007-05-23 M. Mobilia , R. K. P. Zia , B. Schmittmann

We study numerically the thermalisation and temporal evolution of the reduced density matrix for a two-site subsystem of a fermionic Hubbard model prepared far from equilibrium at a definite energy. Even for very small systems near quantum…

Quantum Physics · Physics 2011-01-24 S. Genway , A. F. Ho , D. K. K. Lee

Non-equilibrium time evolution in isolated many-body quantum systems generally results in thermalization. However, the relaxation process can be very slow, and quasi-stationary non-thermal plateaux are often observed at intermediate times.…

Statistical Mechanics · Physics 2017-07-06 Vincenzo Alba , Maurizio Fagotti

We study the emergence over time of a universal, uniform distribution of quantum states supported on a finite subsystem, induced by projectively measuring the rest of the system. Dubbed deep thermalization, this phenomenon represents a form…

Quantum Physics · Physics 2023-01-04 Matteo Ippoliti , Wen Wei Ho

The Fermi-Pasta-Ulam (FPU) system, initially introduced by Fermi for numerical simulations, models vibrating chains with fixed endpoints, where particles interact weakly, nonlinearly with their nearest neighbors. Contrary to the anticipated…

Analysis of PDEs · Mathematics 2025-02-04 Chulkwang Kwak , Changhun Yang

We introduce a lattice spin model that mimics a system of interacting particle through a short range repulsive potential and a long range attractive power law decaying potential. We performed a detailed analysis of the general equilibrium…

Disordered Systems and Neural Networks · Physics 2009-08-31 Omar Osenda , Francisco A. Tamarit , Sergio A. Cannas