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We give a proof of transient fluctuation relations for the entropy production (dissipation function) in nonequilibrium systems, which is valid for most time reversible dynamics. We then consider the conditions under which a transient…

Statistical Mechanics · Physics 2009-11-13 Debra J. Searles , Lamberto Rondoni , Denis J. Evans

Fluctuation theorems play a central role in nonequilibrium physics and stochastic thermodynamics. Here we derive an integral fluctuation theorem for the dissipated heat in systems governed by an underdamped Langevin dynamics. We show that…

Statistical Mechanics · Physics 2016-02-17 M. L. Rosinberg , G. Tarjus , T. Munakata

In this paper, we generalize the theory of Brownian motion and the Onsager-Machlup theory of fluctuations for spatially symmetric systems to equilibrium and nonequilibrium steady-state systems with a preferred spatial direction, due to an…

Statistical Mechanics · Physics 2016-09-28 Roman Belousov , E. G. D. Cohen , Lamberto Rondoni

While techniques to compute thermal fluctuation induced, or pseudo-Casimir, forces in equilibrium systems are well established, the same is not true for non-equilibrium cases. We present a general formalism that allows us to unambiguously…

Statistical Mechanics · Physics 2009-08-10 David S. Dean , Ajay Gopinathan

Using the theory of large deviations, macroscopic fluctuation theory provides a framework to understand the behaviour of non-equilibrium dynamics and steady states in diffusive systems. We extend this framework to a minimal model of…

Statistical Mechanics · Physics 2023-10-02 D. R. Michiel Renger , Upanshu Sharma

We prove a general inequality between the charge current and its fluctuations valid for any non-interacting coherent electronic conductor and for any stationary out-of-equilibrium condition, thereby going beyond established…

Mesoscale and Nanoscale Physics · Physics 2024-07-15 Ludovico Tesser , Janine Splettstoesser

Heat fluctuations over a time \tau in a non-equilibrium stationary state and in a transient state are studied for a simple system with deterministic and stochastic components: a Brownian particle dragged through a fluid by a harmonic…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen

We investigated the validity of fluctuation-dissipation relations in the nonequilibrium stationary state of fluidized granular media under gravity by two independent approaches, based on theory and numerical simulations. A phenomenological…

Statistical Mechanics · Physics 2012-07-03 Jun'ichi Wakou , Masaharu Isobe

We theoretically study Langevin systems with a tilted periodic potential. It has been known that the ratio $\Theta$ of the diffusion constant to the differential mobility is not equal to the temperature of the environment (multiplied by the…

Statistical Mechanics · Physics 2009-11-10 Kumiko Hayashi , Shin-ichi Sasa

Fluctuations associated with relaxations in far-from-equilibrium regime is of fundamental interest for a large variety of systems within broad scales. Recent advances in techniques such as spectroscopy have generated the possibility for…

Quantum Physics · Physics 2021-09-08 Zhedong Zhang , Xuanhua Wang , Jin Wang

In this paper, we study the stationary states of diffusive dynamics driven out of equilibrium by reservoirs. For a small forcing, the system remains close to equilibrium and the large deviation functional of the density can be computed…

Statistical Mechanics · Physics 2024-12-19 Thierry Bodineau , Bernard Derrida

We study the mechanical response generated by local deformations in jammed packings of rigid disks. Based on discrete element simulations we determine the critical force of the local perturbation that is needed to break the mechanical…

Soft Condensed Matter · Physics 2007-10-02 M. Reza Shaebani , Tamas Unger , Janos Kertesz

We demonstrate that a Langevin equation that describes the motion of a Brownian particle under non-equilibrium conditions can be exactly transformed to a special equation that explicitly exhibits the response of the velocity to a time…

Statistical Mechanics · Physics 2009-11-11 Takahiro Harada , Kumiko Hayashi , Shin-ichi Sasa

A single mechanism, endemic to the standard model of physics, is proposed to explain wavefunction collapse, classical motion, dissipation, equilibration, and the transition from pure quantum mechanics through open system decoherence to the…

General Physics · Physics 2024-09-23 J. H. Brownell

Understanding how systems respond to external perturbations is a fundamental challenge in physics, particularly for non-equilibrium and non-stationary processes. The fluctuation-dissipation theorem provides a complete framework for…

Statistical Mechanics · Physics 2026-05-06 Jiming Zheng , Zhiyue Lu

We investigate the fluctuation dynamics of a probe around a deterministic motion induced by interactions with driven particles. The latter constitute the nonequilibrium medium in which the probe is immersed and is modelled as overdamped…

Statistical Mechanics · Physics 2017-01-03 Christian Maes , Stefano Steffenoni

A theory of dissipative generalized continuum mechanics is presented in the framework of weakly nonlocal non-equilibrium thermodynamics. The evolution equation of microdeformation is obtained by thermodynamic principles. Conditions of…

Classical Physics · Physics 2013-01-01 P. Ván

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.…

Statistical Mechanics · Physics 2011-11-29 Vivien Lecomte , Alberto Imparato , Frédéric Van Wijland

We present a general framework for systems which are prepared in a non-stationary non-equilibrium state in the absence of any perturbation, and which are then further driven through the application of a time-dependent perturbation. We…

Statistical Mechanics · Physics 2012-12-06 Gatien Verley , David Lacoste

The friction coefficient of a particle can depend on its position as it does when the particle is near a wall. We formulate the dynamics of particles with such state-dependent friction coefficients in terms of a general Langevin equation…

Soft Condensed Matter · Physics 2009-11-13 A. W. C. Lau , T. C. Lubensky