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We apply path integrals to study nonequilibrium work theorems in the context of Brownian dynamics, deriving in particular the equations of motion governing the most typical and most dominant trajectories. For the analytically soluble cases…

统计力学 · 物理学 2009-03-12 David D. L. Minh , Artur B. Adib

Using equilibrium fluctuations to understand the response of a physical system to an externally imposed perturbation is the basis for linear response theory, which is widely used to interpret experiments and shed light on microscopic…

统计力学 · 物理学 2024-06-24 Jérémie Klinger , Grant M. Rotskoff

Maintained by environmental fluxes, biological systems are thermodynamic processes that operate far from equilibrium without detailed-balance dynamics. Yet, they often exhibit well defined nonequilibrium steady states (NESSs). More…

统计力学 · 物理学 2017-08-02 P. M. Riechers , J. P. Crutchfield

Data from experiments and theoretical arguments are the two pillars sustaining the job of modelling physical systems through inference. In order to solve the inference problem, the data should satisfy certain conditions that depend also…

The classical Jarzynski equality establishes an exact relation between the stochastic work performed on a system driven out of thermal equilibrium and the free energy difference in a corresponding quasi-static process. This fluctuation…

量子物理 · 物理学 2025-08-21 Konstantin Beyer , Walter T. Strunz

We study how local equilibrium, and linear response predictions of transport coefficients are violated as systems move far from equilibrium. This is done by studying heat flow in classical lattice models with and without bulk transport…

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

We study the dynamics of weakly deformed interfaces separating two stable phases, starting from the fluctuating hydrodynamics of the phase-separating fields. Using a well-chosen definition for the interface and the dynamical-action…

统计力学 · 物理学 2026-05-19 Lila Sarfati , Julien Tailleur , Frédéric van Wijland

For diffusive systems that can be described by fluctuating hydrodynamics and by the Macroscopic Fluctuation Theory of Bertini et al., the total current fluctuations display universal features when the system is closed and in equilibrium.…

统计力学 · 物理学 2011-11-29 Vivien Lecomte , Alberto Imparato , Frédéric Van Wijland

We study a simple transport model driven out of equilibrium by reservoirs at the boundaries, corresponding to the hydrodynamic limit of the symmetric simple exclusion process. We show that a nonlocal transformation of densities and currents…

统计力学 · 物理学 2007-12-03 Julien Tailleur , Jorge Kurchan , Vivien Lecomte

Recently there has been growing interest in extending the thermodynamic method from static configurations to dynamical trajectories. In this approach, ensembles of trajectories are treated in an analogous manner to ensembles of…

统计力学 · 物理学 2016-08-23 Robert M. Turner , Thomas Speck , Juan P. Garrahan

We study nonequilibrium fluctuation theorems in the presence of a time-reversal symmetry-breaking field and nonconservative forces, in a stochastic as well as a deterministic set up. We consider a system and a heat bath, called the combined…

统计力学 · 物理学 2010-02-22 Punyabrata Pradhan

We define common thermodynamic concepts purely within the framework of general Markov chains and derive Jarzynski's equality and Crooks' fluctuation theorem in this setup. In particular, we regard the discrete time case that leads to an…

统计力学 · 物理学 2022-12-14 Pedro Hack , Sebastian Gottwald , Daniel A. Braun

For a many-particle system with long-range interactions and evolving under stochastic dynamics, we study for the first time the out-of-equilibrium fluctuations of the work done on the system by a time-dependent external force. For…

统计力学 · 物理学 2016-04-19 Shamik Gupta , Thierry Dauxois , Stefano Ruffo

In these lectures, we shall present some remarkable results that have been obtained for systems far from equilibrium during the last two decades. We shall put a special emphasis on the concept of large deviation functions that provide us…

统计力学 · 物理学 2015-06-23 Kirone Mallick

There has been great interest in applying the results of statistical mechanics to single molecule experiements. Recent work has highlighted so-called non-equilibrium work-energy relations and Fluctuation Theorems which take on an…

软凝聚态物质 · 物理学 2015-06-25 R. Dean Astumian

We develop a theory for inferring equilibrium transition rates from trajectories driven by a time dependent force using results from stochastic thermodynamics. Applying the Kawasaki relation to approximate the nonequilibrium distribution…

化学物理 · 物理学 2023-05-17 Benjamin Kuznets-Speck , David T Limmer

Can far-from-equilibrium material response under arbitrary loading be inferred from equilibrium data and vice versa? Can the effect of element transmutation on mechanical behavior be predicted? Remarkably, such extrapolations are possible…

A theory for non-equilibrium systems is derived from a maximum entropy approach similar in spirit to the equilibrium theory given by Gibbs. Requiring Hamilton's principle of stationary action to be satisfied on average during a trajectory,…

统计力学 · 物理学 2019-02-04 David M. Rogers , Susan B. Rempe

When two isolated system are brought in contact, they relax to equilibrium via energy exchange. In another setting, when one of the systems is driven and the other is large, the first system reaches a steady-state which is not described by…

统计力学 · 物理学 2015-09-10 Guy Bunin , Yariv Kafri

We find that some equilibrium systems and their non-equilibrium counterparts actually show the same jerky response or avalanche behavior on many scales in response to slowly changing external conditions. In other words, their static and…

无序系统与神经网络 · 物理学 2010-02-24 Yang Liu , Karin A. Dahmen