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The steady state of a Langevin equation with short ranged memory and coloured noise is analyzed. When the fluctuation-dissipation theorem of second kind is not satisfied, the dynamics is irreversible, i.e. detailed balance is violated. We…

Statistical Mechanics · Physics 2015-05-13 Andrea Puglisi , Dario Villamaina

Irreversibility is usually captured by a comparison between the process that happens and a corresponding "reverse process". In the last decades, this comparison has been extensively studied through fluctuation relations. Here we revisit…

Statistical Mechanics · Physics 2021-10-11 Clive Cenxin Aw , Francesco Buscemi , Valerio Scarani

We introduce a framework to identify Fluctuation Relations for vector-valued observables in physical systems evolving through a stochastic dynamics. These relations arise from the particular structure of a suitable entropic functional and…

Statistical Mechanics · Physics 2025-10-22 Raphael Chetrite , Stefano Marcantoni

In this note, we present a simple derivation, from time-reversal symmetry, of fluctuation relations for steady-state large deviation functions in non-equilibrium quantum systems. We further show that a condition of pure transmission implies…

Statistical Mechanics · Physics 2015-06-16 Denis Bernard , Benjamin Doyon

The time-reversal symmetry of nonequilibrium fluctuations is experimentally investigated in two out-of-equilibrium systems namely, a Brownian particle in a trap moving at constant speed and an electric circuit with an imposed mean current.…

Statistical Mechanics · Physics 2016-08-31 David Andrieux , Pierre Gaspard , Sergio Ciliberto , Nicolas Garnier , Sylvain Joubaud , Artyom Petrosyan

The fluctuation-dissipation theorem is a hallmark of equilibrium system that stem from their time-reversal symmetry. In many non-equilibrium systems, in particular active ones, extensions and explicit violations of this theorem are used to…

Statistical Mechanics · Physics 2026-04-06 Mathias Casiulis , Leticia F. Cugliandolo

Graham has shown in Z. Physik B 26, 397-405 (1977) that a fluctuation-dissipation relation can be imposed on a class of non-equilibrium Markovian Langevin equations that admit a stationary solution of the corresponding Fokker-Planck…

Statistical Mechanics · Physics 2023-03-23 Lokrshi Prawar Dadhichi , Klaus Kroy

There is a relation between the irreversibility of thermodynamic processes as expressed by the breaking of time-reversal symmetry, and the entropy production in such processes. We explain on an elementary mathematical level the relations…

Statistical Mechanics · Physics 2007-05-23 C. Maes , K. Netocny

Fluctuation theorems, which have been developed over the past 15 years, have resulted in fundamental breakthroughs in our understanding of how irreversibility emerges from reversible dynamics, and have provided new statistical mechanical…

Statistical Mechanics · Physics 2015-05-13 E. M. Sevick , R. Prabhakar , Stephen R. Williams , Debra J. Searles

We investigate the question, "how does time flow?" and show that time may change by inversions as well. We discuss its implications to a simple class of linear systems. Instead of introducing any unphysical behaviour, inversions can lead to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dhurjati Prasad Datta

Fluctuation theorems are relations constraining the out-of-equilibrium fluctuations of thermodynamic quantities like the entropy production that were initially introduced for classical or quantum systems in contact with a thermal bath. Here…

Quantum Physics · Physics 2019-02-27 Sreenath K. Manikandan , Cyril Elouard , Andrew N. Jordan

Recently there has been considerable interest in the Fluctuation Theorem (FT). The FT shows how time reversible microscopic dynamics leads to irreversible macroscopic behavior as the system size or observation time increases. We show that…

Statistical Mechanics · Physics 2008-02-18 Denis J. Evans , Debra J. Searles

To reveal how nonequilibrium physics and relativity theory intertwine, this articles studies relativistic Brownian motion under cosmic expansion. Two fluctuation theorems for the entropy ds, which is locally produced in this extreme…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Axel Fingerle

The formulation of quantum mechanics within the framework of entropic dynamics is extended to the domain of relativistic quantum fields. The result is a non-dissipative relativistic diffusion in the infinite dimensional space of field…

Quantum Physics · Physics 2015-06-12 Ariel Caticha

Time-reversal symmetry plays an essential role in the thermodynamic uncertainty relations, which bound the fluctuations of observables in terms of the associated dissipation. In fact, thermodynamic uncertainty relations are typically…

Statistical Mechanics · Physics 2026-05-28 Tetta Indo , Yoshihiko Hasegawa

We report on a numerical experiment performed to analyze fluctuations of the entropy production in turbulent thermal convection, a physical configuration that represents here a prototypical case of an out-of-equilibrium dissipative system.…

Statistical Mechanics · Physics 2016-07-12 Francesco Zonta , Sergio Chibbaro

The response of thermodynamic systems perturbed out of an equilibrium steady-state is described by the reciprocal and the fluctuation-dissipation relations. The so-called fluctuation theorems extended the study of fluctuations far beyond…

Statistical Mechanics · Physics 2020-02-21 Matteo Polettini , Massimiliano Esposito

The fluctuation theorem is the fundamental equality in nonequilibrium thermodynamics that is used to derive many important thermodynamic relations, such as the second law of thermodynamics and the Jarzynski equality. Recently, the…

Statistical Mechanics · Physics 2019-09-16 Yoshihiko Hasegawa , Tan Van Vu

Microscopic physical laws are time-symmetric, hence, a priori there exists no preferential temporal direction. However, the second law of thermodynamics allows one to associate the "forward" temporal direction to a positive variation of the…

Quantum Physics · Physics 2021-11-29 Giulia Rubino , Gonzalo Manzano , Časlav Brukner

Understanding the quantum nature of the gravitational field is undoubtedly one of the greatest challenges in theoretical physics. Despite significant progress, a complete and consistent theory remains elusive. However, in the weak field…

General Relativity and Quantum Cosmology · Physics 2024-12-25 Thiago H Moreira , Lucas C. Céleri