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Although many computational methods for rare event sampling exist, this type of calculation is not usually practical for general nonequilibrium conditions, with macroscopically irreversible dynamics and away from both stationary and…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Joshua T. Berryman , Tanja Schilling

There has been substantial progress in recent years in the quantitative understanding of the nonequilibrium time evolution of quantum fields. Important topical applications, in particular in high energy particle physics and cosmology,…

High Energy Physics - Phenomenology · Physics 2010-02-04 J. Berges

A thermodynamic system is driven into a nonequilibrium condition when a time-dependent force or a nonconservative force represented by a protocol $\lambda(t)$ is applied. Such a system is time irreversible in the sense that the motion under…

Statistical Mechanics · Physics 2014-06-03 Jae Dong Noh

A link between memory effects in quantum kinetic equations and nonequilibrium correlations associated with the energy conservation is investigated. In order that the energy be conserved by an approximate collision integral, the one-particle…

Statistical Mechanics · Physics 2007-05-23 V. G. Morozov , Gerd Ropke

Adaptation is used by biological sensory systems to respond to a wide range of environmental signals, by adapting their response properties to the statistics of the stimulus in order to maximize information transmission. We derive rules of…

Neurons and Cognition · Quantitative Biology 2021-04-14 Daniele Conti , Thierry Mora

The thermodynamic approach to non-equilibrium dynamics describes the state of macroscopic systems by means of a collection of intensities or intensive variables. The latter are by definition the differentials of the entropy with respect to…

chao-dyn · Physics 2008-02-03 Z. Hens , X. de Hemptinne

We set up a rigorous thermodynamic description of reaction-diffusion systems driven out of equilibrium by time-dependent space-distributed chemostats. Building on the assumption of local equilibrium, nonequilibrium thermodynamic potentials…

Statistical Mechanics · Physics 2018-09-12 Gianmaria Falasco , Riccardo Rao , Massimiliano Esposito

How to accurately probe chemically reactive flows with essential thermodynamic nonequilibrium effects is an open issue. Via the Chapman-Enskog analysis, the local nonequilibrium particle velocity distribution function is derived from the…

Fluid Dynamics · Physics 2022-03-23 Xianli Su , Chuandong Lin

Just as transition rates in a canonical ensemble must respect the principle of detailed balance, constraints exist on transition rates in driven steady states. I derive those constraints, by maximum information-entropy inference, and apply…

Statistical Mechanics · Physics 2009-11-10 R. M. L. Evans

We provide a minimal strategy for the quantitative analysis of a large class of non-equilibrium systems in a {statistically} steady state using the short-time Thermodynamic Uncertainty Relation (TUR). From short-time trajectory data…

We study the nonequilibrium steady state realized in a general stochastic system attached to multiple heat baths and/or driven by an external force. Starting from the detailed fluctuation theorem we derive concise and suggestive expressions…

Statistical Mechanics · Physics 2009-11-13 Teruhisa S. Komatsu , Naoko Nakagawa

In conventional thermodynamics, it is widely acknowledged that the realization of an isothermal process for a system requires a quasi-static controlling protocol. Here we propose and design a strategy to realize a finite-rate isothermal…

Statistical Mechanics · Physics 2017-07-25 Geng Li , H. T. Quan , Z. C. Tu

Kramers' rate theory forms a cornerstone for thermally activated barrier crossing. However, its reliance on equilibrium quantities excludes analysis of nonequilibrium dynamics at early times. Most works have thus focused on obtaining rates…

Statistical Mechanics · Physics 2025-09-09 A. J. Archer , T. Ala-Nissila , T. J. W. Honour , S. P. Fitzgerald

We propose a new approach concerning the introduction of time-irreversibility in statistical mechanics. It is based on a transition function defined in terms of path integral and verifying a time-irreversible equation. We show first how…

Statistical Mechanics · Physics 2015-03-02 J. P. Badiali

In this paper we investigate the applicability of non-equilibrium statistical mechanics to non-equilibrium damage phenomena. As an example, a fiber-bundle model with thermal noise and a fiber-bundle model with decay of fibers are…

Statistical Mechanics · Physics 2009-05-25 S. G. Abaimov

Non-EQuilibrium (NEQ) statistical physics has not had the same general foundation as that of EQuilibrium (EQ) statistical physics, where forces are derived from potentials such as $1/T = \partial S/\partial U$, and from which other key…

Statistical Mechanics · Physics 2025-05-07 Ying-Jen Yang , Ken A. Dill

Experiments show that macroscopic systems in a stationary nonequilibrium state exhibit long range correlations of the local thermodynamic variables. In previous papers we proposed a Hamilton-Jacobi equation for the nonequilibrium free…

Statistical Mechanics · Physics 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim

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…

Statistical Mechanics · Physics 2023-03-01 Dario Lucente , Andrea Baldassarri , Andrea Puglisi , Angelo Vulpiani , Massimiliano Viale

We study the statistical force of a nonequilibrium environment on a quasi-static probe. In the linear regime the isothermal work on the probe equals the excess work for the medium to relax to its new steady condition with displaced probe.…

Statistical Mechanics · Physics 2015-07-01 Urna Basu , Christian Maes , Karel Netocny

The linear laws of transport phenomena are central in our description of irreversible processes in systems across the physical sciences. Linear irreversible thermodynamics allows for the identification of the underlying forces driving…

Statistical Mechanics · Physics 2025-06-02 Yu-Jen Chiu , Eric M. Weiner , Ahmad K. Omar
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