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The traditional approach to studying near-field thermal transfer is based on fluctuational electrodynamics. However, this approach may not be suitable for nonequilibrium states due to dynamic drivings. In our work, we introduce a…

Mesoscale and Nanoscale Physics · Physics 2024-02-26 Gaomin Tang , Jian-Sheng Wang

We consider the non-equilibrium dynamics arising after a quench of the transverse magnetic field of a quantum Ising chain, together with the sudden switch-on of a long-range interaction term. The dynamics after the quantum quench is mapped…

Statistical Mechanics · Physics 2016-12-21 M. Marcuzzi , J. Marino , A. Gambassi , A. Silva

We study in detail the properties of the quantum East model, an interacting quantum spin chain inspired by simple kinetically-constrained models of classical glasses. Through a combination of analytics, exact diagonalization and…

Statistical Mechanics · Physics 2020-06-09 Nicola Pancotti , Giacomo Giudice , J. Ignacio Cirac , Juan P. Garrahan , Mari Carmen Bañuls

We study the non-linear BGK model in 1d coupled to a spatially varying thermostat. We show existence, local uniqueness and linear stability of a steady state when the linear coupling term is large compared to the non-linear self interaction…

Analysis of PDEs · Mathematics 2023-05-03 Josephine Evans , Angeliki Menegaki

We develop an exact quantum thermodynamic description for a noninteracting nanoscale steady state that couples strongly with multiple reservoirs. It is demonstrated that there exists a steady-state extension of the thermodynamic function…

Mesoscale and Nanoscale Physics · Physics 2018-04-05 Nobuhiko Taniguchi

We show existence of a non-equilibrium steady state for the one-dimensional, non-linear BGK model on an interval with diffusive boundary conditions. These boundary conditions represent the coupling of the system with two heat reservoirs at…

Analysis of PDEs · Mathematics 2021-06-02 Josephine Evans , Angeliki Menegaki

We study the nonreciprocal Cahn-Hilliard model with thermal noise as a prototypical example of a generic class of non-Hermitian stochastic field theories, analyzed in two companion papers [Suchanek, Kroy, Loos, ArXiv:2303.16701 (2023);…

Soft Condensed Matter · Physics 2023-09-08 Thomas Suchanek , Klaus Kroy , Sarah A. M. Loos

Let an infinite, homogeneous, many-body quantum system be unitarily evolved for a long time from a state where two halves are independently thermalized. One says that a non-equilibrium steady state emerges if there are nonzero steady…

Strongly Correlated Electrons · Physics 2015-07-28 Benjamin Doyon

We investigate the steady state properties arising from the open system dynamics described by a memoryless (Markovian) quantum collision model, corresponding to a master equation in the ultra-strong coupling regime. By carefully assessing…

We study the stationary nonequilibrium states of N point particles moving under the influence of an electric field E among fixed obstacles (discs) in a two dimensional torus. The total kinetic energy of the system is kept constant through a…

Chaotic Dynamics · Physics 2007-05-23 F. Bonetto , D. Daems , J. L. Lebowitz , V. Ricci

Based on a microscopic system reservoir model,where the associated bath is not in thermal equilibrium, we simulate the nonstationary Langevin dynamics and obtained the generalized nonstationary fluctuation dissipation relation (FDR) which…

We study the existence and properties of the non-equilibrium steady state which arises by putting two copies of systems at different temperatures into a thermal contact. We solve the problem for the relativistic systems that are described…

Statistical Mechanics · Physics 2016-03-23 Razieh Pourhasan

The formation of an equilibrium quantum state from an uncorrelated thermal one through the dynamical crossing of a phase transition is a central question of non-equilibrium many-body physics. During such crossing, the system breaks its…

Quantum Gases · Physics 2018-06-18 I. -K. Liu , S. Donadello , G. Lamporesi , G. Ferrari , S. -C. Gou , F. Dalfovo , N. P. Proukakis

In this paper, we investigate the almost-periodic solutions for the one-dimensional nonlinear Klein-Gordon equation within the non-relativistic limit under periodic boundary conditions. Specifically, by employing the method introduced in…

Dynamical Systems · Mathematics 2025-05-13 Hongzi Cong , Siming Li , Xiaoqing Wu

We calculate the time dependent nonequilibrium current through a single level quantum dot strongly coupled to a vibrational mode. The nonequilibrium real time dynamics caused by an instantaneous coupling of the leads to the quantum dot is…

Mesoscale and Nanoscale Physics · Physics 2013-02-27 Klaus Ferdinand Albrecht , Alvaro Martin-Rodero , Rosa Carmina Monreal , Lothar Mühlbacher , Alfredo Levy Yeyati

We consider a class of nonlinear Klein-Gordon equations which are Hamiltonian and are perturbations of linear dispersive equations. The unperturbed dynamical system has a bound state, a spatially localized and time periodic solution. We…

chao-dyn · Physics 2009-10-31 A. Soffer , M. I. Weinstein

We have studied nonequilibrium dynamics of the one-dimensional Hubbard model using the generalized hydrodynamic theory. We mainly investigated the spatio-temporal profile of charge density, energy density and their currents using the…

Statistical Mechanics · Physics 2020-01-22 Yuji Nozawa , Hirokazu Tsunetsugu

We studied the non-equilibrium dynamics of the q-state Potts model in the square lattice, after a quench to sub-critical temperatures. By means of a continuous time Monte Carlo algorithm (non-conserved order parameter dynamics) we analyzed…

Statistical Mechanics · Physics 2007-09-13 Ezequiel E. Ferrero , Sergio A. Cannas

In this work we investigate the transient solidification of a Lennard-Jones liquid using non-equilibrium molecular dynamics simulations and continuum heat transfer theory. The simulations are performed in slab-shaped boxes, where a cold…

Mesoscale and Nanoscale Physics · Physics 2020-10-26 Francesc Font , William Micou , Fernando Bresme

The primary objective of this paper is to investigate the well-posedness theories associated with the discrete nonlinear Schr\"odinger equation and Klein-Gordon equation. These theories encompass both local and global well-posedness, as…

Dynamical Systems · Mathematics 2023-11-01 Yifei Wu , Zhibo Yang , Qi Zhou
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