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Recently many results namely the Fluctuation theorems (FT), have been discovered for systems arbitrarily away from equilibrium. Many of these relations have been experimentally tested. The system under consideration is usually driven out of…

Statistical Mechanics · Physics 2019-10-02 Rahul Marathe , Sourabh Lahiri

Fluctuation theorems and the second law of thermodynamics are powerful relations constraining the behavior of out-of-equilibrium systems. While there exist generalizations of these relations to feedback controlled quantum systems, their…

Quantum Physics · Physics 2024-10-07 Kacper Prech , Patrick P. Potts

A connection between the response and fluctuation in general nonequilibrium stationary states is investigated. We focus on time-symmetric quantities and find that the fluctuation of a kind of empirical measure can be expressed with the…

Statistical Mechanics · Physics 2023-04-26 Naoto Shiraishi

The work approaches the study of the fluctuations for the thermodynamic systems in the presence of the fields. The approach is of phenomenological nature and developed in a Gaussian approximation. The study is exemplified on the cases of a…

Statistical Mechanics · Physics 2009-10-31 S. Dumitru , A. Boer

Fluctuation relations are powerful equalities that hold far from equilibrium. However, the standard approach to include measurement and feedback schemes may become inapplicable in certain situations, including continuous measurements,…

Mesoscale and Nanoscale Physics · Physics 2019-09-05 Patrick P. Potts , Peter Samuelsson

We show how to extract from a sufficiently long time series of stationary fluctuations of chemical reactions an estimate of the entropy production. This method, which is based on recent work on fluctuation theorems, is direct, non-invasive,…

Statistical Mechanics · Physics 2014-12-09 S. Muy , A. Kundu , D. Lacoste

We investigate thermodynamics of general nonequilibrium processes stopped at stochastic times. We propose a systematic strategy for constructing fluctuation-theorem-like martingales for each thermodynamic functional, yielding a family of…

Statistical Mechanics · Physics 2023-06-02 Haoran Yang , Hao Ge

The volume fluctuations in the steady state reached by a vibrated granular gas of hard particles confined by a movable piston on the top are investigated by means of event driven simulations. Also, a compressibility factor, measuring the…

Statistical Mechanics · Physics 2015-05-18 J. Javier Brey , M. J. Ruiz-Montero

Stochastic models for pore collapse in granular materials are developed. First, a general fluctuating stress-strain relation for a plastic flow rule is derived. The fluctuations account for non-associativity in plastic deformations…

Soft Condensed Matter · Physics 2020-03-02 Joseph Bakarji , Daniel M. Tartakovsky

Non-equilibrium fluctuations of various stochastic variables, such as work and entropy production, have been widely discussed recently in the context of large deviations, cumulants and fluctuation relations. Typically, one looks at the…

Statistical Mechanics · Physics 2016-08-03 Keiji Saito , Abhishek Dhar

Non-equilibrium stochastic dynamics of several active Brownian systems are modeled in terms of non-linear velocity dependent force. In general, this force may consist of both even and odd functions of velocity. We derive the expression for…

Statistical Mechanics · Physics 2016-09-14 Debasish Chaudhuri

For the first time, we calculate the heating rate, attractive conservative and tangential dissipative fluctuation electromagnetic forces felt by a thick plate moving parallel to a closely spaced another plate in rest using the retarded…

Other Condensed Matter · Physics 2009-08-25 G. V. Dedkov , A. A. Kyasov

We study the stationary fluctuations of independent run-and-tumble particles. We prove that the joint densities of particles with given internal state converges to an infinite dimensional Ornstein-Uhlenbeck process. We also consider an…

Probability · Mathematics 2024-03-13 Frank Redig , Hidde van Wiechen

Non-equilibrium stationary fluctuations may exhibit a special symmetry called fluctuation relations (FR). Here, we show that this property is always satisfied by the subtraction of two random and independent variables related by a…

Statistical Mechanics · Physics 2011-12-13 Adrian A. Budini

Fluctuation theorems are a generalization of thermodynamics on small scales and provide the tools to characterize the fluctuations of thermodynamic quantities in non-equilibrium nanoscale systems. They are particularly important for…

Statistical Mechanics · Physics 2014-04-03 Jan Gieseler , Romain Quidant , Christoph Dellago , Lukas Novotny

We obtain the large scale limit of the fluctuations around its hydrodynamic limit of the density of particles of a weakly asymmetric exclusion process in dimension up to three. The proof is based upon a sharp estimate on the relative…

Probability · Mathematics 2018-10-24 Milton Jara , Otávio Menezes

For the first time, we calculate the heating rate, attractive conservative and tangential dissipative fluctuation electromagnetic forces felt by a thick plate moving parallel to a closely spaced another plate in rest using a nonrelativistic…

Other Condensed Matter · Physics 2009-04-02 G. V. Dedkov , A. A. Kyasov

Deterministic diffusive systems such as the periodic Lorentz gas, multi-baker map, as well as spatially periodic systems of interacting particles, have non-equilibrium stationary states with fractal properties when put in contact with…

Statistical Mechanics · Physics 2009-08-28 Felipe Barra , Pierre Gaspard , Thomas Gilbert

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…

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

Theoretical treatments of frictional granular matter often assume that it is legitimate to invoke classical elastic theory to describe its coarse-grained mechanical properties. Here we show, based on experiments and numerical simulations,…

Soft Condensed Matter · Physics 2021-02-24 Anaël Lemaître , Chandana Mondal , Itamar Procaccia , Saikat Roy , Yinqiao Wang , Jie Zhang