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We investigate in this article the long-time behaviour of the solutions to the energy-dependant, spatially-homogeneous, inelastic Boltzmann equation for hard spheres. This model describes a diluted gas composed of hard spheres under…

偏微分方程分析 · 数学 2012-07-18 Thomas Rey

The dynamics within active fluids, driven by internal activity of the self-propelled particles, is a subject of intense study in non-equilibrium physics. These systems have been explored using simulations, where the motion of a passive…

生物物理 · 物理学 2018-04-03 Saroj Kumar Nandi , Nir S. Gov

While the generalized Langevin equation (GLE) is a powerful tool to understand the behavior of complex dissipative systems, driving by external fields renders standard GLE construction workflows invalid. Filtering approaches that separate…

统计力学 · 物理学 2026-03-03 Thomas Sayer , Andrés Montoya-Castillo

Departures of observables from their thermal equilibrium expectation values are studied under heat flow in steady-state non-equilibrium environments. The relation between the spatial and temperature dependence of these non-equilibrium…

混沌动力学 · 物理学 2007-05-23 Kenichiro Aoki Dimitri Kusnezov

We use trajectory averaging to show that the energy dissipated in the nonequilibrium energy-state transitions of a driven two-state system satisfies a fluctuation-dissipation relation. This connection between the average energy dissipation…

介观与纳米尺度物理 · 物理学 2023-05-16 Tuomas Pyhäranta , Luca Peliti , Jukka P. Pekola

Minimal models of active and driven particles have recently been used to elucidate many properties non-equilibrium systems. However, the relation between energy consumption and changes in the structure and transport properties of these…

软凝聚态物质 · 物理学 2017-08-03 Clara del Junco , Laura Tociu , Suriyanarayanan Vaikuntanathan

A resistor-network picture of transitions is appropriate for the study of energy absorption by weakly chaotic or weakly interacting driven systems. Such "sparse" systems reach a novel non-equilibrium steady state (NESS) once coupled to a…

量子物理 · 物理学 2011-03-21 Daniel Hurowitz , Doron Cohen

We formulate a generalized self-consistent stochastic quantum kinetic theory for finite-temperature ultracold Bose gases interacting via a generic long-range interaction, applicable to a broad range of systems, by means of Keldysh…

量子气体 · 物理学 2025-07-28 Nick P. Proukakis , Gerasimos Rigopoulos , Alex Soto

Active systems, which are driven out of equilibrium by local non-conservative forces, can adopt unique behaviors and configurations. An important challenge in the design of novel materials which utilize such properties is to precisely…

软凝聚态物质 · 物理学 2022-08-09 Gregory Rassolov , Laura Tociu , Étienne Fodor , Suriyanarayanan Vaikuntanathan

We analyze a class of linear shell models subject to stochastic forcing in finitely many degrees of freedom. The unforced systems considered formally conserve energy. Despite being formally conservative, we show that these dynamical systems…

数学物理 · 物理学 2009-11-11 Jonathan C. Mattingly , Toufic Suidan , Eric Vanden-Eijnden

Biologically driven non-equilibrium fluctuations are often characterized by their non-Gaussianity or by an "effective temperature", which is frequency dependent and higher than the ambient temperature. We address these two measures…

生物物理 · 物理学 2011-06-16 Eyal Ben-Isaac , YongKeun Park , Gabriel Popescu , Frank L. H. Brown , Nir S. Gov , Yair Shokef

We analyze the validity of the fluctuation-dissipation theorem for slow relaxation systems in the context of mesoscopic nonequilibrium thermodynamics. We demonstrate that the violation arises as a natural consequence of the elimination of…

统计力学 · 物理学 2009-11-07 A. Perez-Madrid , D. Reguera , J. M. Rubi

Active biological systems reside far from equilibrium, dissipating heat even in their steady state, thus requiring an extension of conventional equilibrium thermodynamics and statistical mechanics. In this Letter, we have extended the…

软凝聚态物质 · 物理学 2017-12-22 Dibyendu Mandal , Katherine Klymko , Michael R. DeWeese

We show the existence of intermittent dynamics in one of the simplest model of a glassy system: the two-state model, which has been used to explain the origin of the violation of the fluctuation-dissipation theorem. The dynamics is analyzed…

统计力学 · 物理学 2009-11-10 M. Naspreda , D. Reguera , A. Perez-Madrid , J. M. Rubi

A positive rate of entropy production at steady state is a distinctive feature of truly non-equilibrium processes. Exact results, while being often limited to simple models, offer a unique opportunity to explore the thermodynamic features…

统计力学 · 物理学 2022-06-29 Henry Alston , Luca Cocconi , Thibault Bertrand

In this paper we study computationally feasible bounds for relative free energies between two many-particle systems. Specifically, we consider systems out of equilibrium that do not necessarily satisfy a fluctuation-dissipation relation,…

统计力学 · 物理学 2024-03-19 Luigi Delle Site , Carsten Hartmann

In this article, we propose a generalized model for nonequilibrium vibrational energy distribution functions. The model can be used, in place of equilibrium (Boltzmann) distribution functions, when deriving reaction rate constants for…

化学物理 · 物理学 2020-07-15 Narendra Singh , Thomas Schwartzentruber

We analyze energetics of a non-Gaussian process described by a stochastic differential equation of the Langevin type. The process represents a paradigmatic model of a nonequilibrium system subject to thermal fluctuations and additional…

统计力学 · 物理学 2015-06-16 L. Kusmierz , J. M. Rubi , E. Gudowska-Nowak

Heat fluctuations are studied in a dissipative system with both mechanical and stochastic components for a simple model: a Brownian particle dragged through water by a moving potential. An extended stationary state fluctuation theorem is…

统计力学 · 物理学 2007-05-23 R. van Zon , E. G. D. Cohen

We introduce an energy-based model, which seems especially suited for constrained systems. The proposed model provides an alternative to the popular port-Hamiltonian framework and exhibits similar properties such as energy dissipation as…

数值分析 · 数学 2024-12-10 R. Altmann , P. Schulze