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We present a comprehensive analysis of effective temperatures based on fluctuation-dissipation relations in a model of an active fluid composed of self-propelled hard disks. We first investigate the relevance of effective temperatures in…

统计力学 · 物理学 2015-10-20 Demian Levis , Ludovic Berthier

Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined…

统计力学 · 物理学 2015-06-05 Udo Seifert

The nonexponential relaxation and aging inherent to complex dynamics manifested in a wide variety of dissipative systems is analyzed through a model of diffusion in phase space in the presence of a nonconservative force. The action of this…

统计力学 · 物理学 2009-11-11 A. Perez-Madrid

Within the framework of the homogeneous non-linear Boltzmann equation, we present a new analytic method, without the intrinsic limitations of existing methods, for obtaining asymptotic solutions. This method permits extension of existing…

统计力学 · 物理学 2009-11-11 M. H. Ernst , E. Trizac , A. Barrat

We study a class of non-equilibrium lattice models describing local redistributions of a globally conserved quantity, which is interpreted as an energy. A particular subclass can be solved exactly, allowing to define a statistical…

统计力学 · 物理学 2007-05-23 Eric Bertin , Olivier Dauchot , Michel Droz

We consider lattice gas diffusive dynamics with creation-annihilation in the bulk and maintained out of equilibrium by two reservoirs at the boundaries. This stochastic particle system can be viewed as a toy model for granular gases where…

统计力学 · 物理学 2015-05-14 T. Bodineau , M. Lagouge

We study analytically and numerically the distribution of granular temperatures in granular mixtures for different dissipation mechanisms of inelastic inter-particle collisions. Both driven and force-free systems are analyzed. We…

软凝聚态物质 · 物理学 2019-11-13 Anna S. Bodrova , Alexander Osinsky , Nikolay Brilliantov

Exactly solvable models have played an important role in establishing the sophisticated modern understanding of equilibrium many-body physics. And conversely, the relative scarcity of solutions for non-equilibrium models greatly limits our…

The recently established connection between stochastic thermodynamics and fluctuating hydrodynamics is applied to a study of efficiencies in the coupled transport of heat and matter on a small scale. A stochastic model for a mesoscopic cell…

统计力学 · 物理学 2019-04-01 Jean-François Derivaux , Yannick De Decker

We propose exact results for the full counting statistics, or the scaled cumulant generating function, pertaining to the transfer of arbitrary conserved quantities across an interface in homogeneous integrable models out of equilibrium. We…

统计力学 · 物理学 2020-01-22 Jason Myers , M. J. Bhaseen , Rosemary J. Harris , Benjamin Doyon

Active matter systems exhibit rich emergent behavior due to constant injection and dissipation of energy at the level of individual agents. Since these systems are far from equilibrium, their dynamics and energetics cannot be understood…

软凝聚态物质 · 物理学 2020-04-23 Sarah Eldeen , Ryan Muoio , Paris Blaisdell-Pijuan , Ngoc La , Mauricio Gomez , Alex Vidal , Wylie Ahmed

Recently linear dissipative models of the Boltzmann equation have been introduced. In this work, we consider the problem of constructiing suitable hydrodynamic approximations for such models where the mean velocity and the temperature of…

偏微分方程分析 · 数学 2007-05-23 Stephane Brull , Lorenzo Pareschi

We review generalized Fluctuation-Dissipation Relations which are valid under general conditions even in ``non-standard systems'', e.g. out of equilibrium and/or without a Hamiltonian structure. The response functions can be expressed in…

统计力学 · 物理学 2019-09-10 A. Sarracino , A. Vulpiani

A generalized fluctuation-response relation is found for thermal systems driven out of equilibrium. Its derivation is independent of many details of the dynamics, which is only required to be first-order. The result gives a correction to…

统计力学 · 物理学 2009-07-12 Marco Baiesi , Christian Maes , Bram Wynants

We report a study of the homogeneous isotropic Boltzmann equation for an open system. We seek for nonequilibrium steady solutions in presence of forcing and dissipation. Using the language of weak turbulence theory, we analyze the…

混沌动力学 · 物理学 2015-03-17 Davide Proment , Miguel Onorato , Pietro Asinari , Sergey Nazarenko

The dynamics of a binary system with non conserved order parameter under a plain shear flow with rate $\gamma $ is solved analytically in the large-N limit. A phase transition is observed at a critical temperature $T_c(\gamma)$. After a…

统计力学 · 物理学 2009-11-07 Federico Corberi , Giuseppe Gonnella , Eugenio Lippiello , Marco Zannetti

We give a brief review of violations of the fluctuation-dissipation theorem (FDT) in out-of-equilibrium systems; in mean field scenarios the corresponding fluctuation-dissipation (FD) plots can, in the limit of long times, be used to define…

统计力学 · 物理学 2007-05-23 P Sollich , S Fielding , P Mayer

A granular gas may be modeled as a set of hard-spheres undergoing inelastic collisions; its microscopic dynamics is thus strongly irreversible. As pointed out in several experimental works bearing on turbulent flows or granular materials,…

统计力学 · 物理学 2009-09-29 P. Visco , A. Puglisi , A. Barrat , E. Trizac , F. van Wijland

In contrast to equilibrium systems, non-equilibrium steady states depend explicitly on the underlying dynamics. Using Monte Carlo simulations with Metropolis, Glauber and heat bath rates, we illustrate this expectation for an Ising lattice…

统计力学 · 物理学 2009-11-10 Wooseop Kwak , D. P. Landau , B. Schmittmann

For systems in nonequilibrium steady states, a novel modulated Gaussian probability distribution is derived to incorporate a new phenomenon of biased current fluctuations, discovered by recent laboratory experiments and confirmed by…

统计力学 · 物理学 2016-05-04 Roman Belousov , E. G. D. Cohen