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The principle of microscopic reversibility is a fundamental element in the formulation of fluctuation relations and the Onsager reciprocal relations. As such, a clear description of whether and how this principle is adapted to the quantum…

Quantum Physics · Physics 2023-10-25 K. Khan , W. F. Magalhaes , Jailson S. Araujo , B. de Lima Bernardo , Gabriel H. Aguilar

We extend previous work to describe a class of fluctuation relations (FRs) that emerge as a consequence of symmetries at the level of stochastic trajectories in Markov chains. We prove that given such a symmetry, and for a suitable…

Statistical Mechanics · Physics 2020-07-03 Stefano Marcantoni , Carlos Pérez-Espigares , Juan P. Garrahan

A generalized fluctuation-response relation is found for thermal systems driven out of equilibrium. Its derivation is independent of many details of the dynamics, which is only required to be first-order. The result gives a correction to…

Statistical Mechanics · Physics 2009-07-12 Marco Baiesi , Christian Maes , Bram Wynants

We show that in driven systems the Gaussian nature of the fluctuating force and time-reversibility are equivalent properties. This result together with the potential condition of the external force drastically restricts the form of the…

Statistical Mechanics · Physics 2007-06-11 M. H. Vainstein , J. M. Rubi

We introduce the notion of time reversal in open quantum systems as represented by linear quantum operations, and a related generalization of classical entropy production in the environment. This functional is the ratio of the probability…

Quantum Physics · Physics 2016-07-26 Erik Aurell , Jakub Zakrzewski , Karol Życzkowski

Quantum vacuum fluctuations tend to be strongly anti-correlated, which reduces their observable effects. However, time dependence can upset the cancellation of these anti-correlated fluctuations and greatly enhance their effects. This form…

General Relativity and Quantum Cosmology · Physics 2014-03-12 Victor Parkinson , L. H. Ford

Many thermodynamic relations involve inequalities, with equality if a process does not involve dissipation. In this article we provide equalities in which the dissipative contribution is shown to involve the relative entropy (a.k.a.…

Statistical Mechanics · Physics 2015-06-17 B. Gaveau , L. Granger , M. Moreau , L. S. Schulman

In quantum gravity there is no notion of absolute time. Like all other quantities in the theory, the notion of time has to be introduced "relationally", by studying the behavior of some physical quantities in terms of others chosen as a…

Quantum Physics · Physics 2009-03-12 Rodolfo Gambini , Jorge Pullin

We generalize nonequilibrium integral equalities to situations involving absolutely irreversible processes for which the forward-path probability vanishes and the entropy production diverges, rendering conventional integral fluctuation…

Statistical Mechanics · Physics 2016-08-11 Yûto Murashita , Ken Funo , Masahito Ueda

There are only a very few known relations in statistical dynamics that are valid for systems driven arbitrarily far-from-equilibrium. One of these is the fluctuation theorem, which places conditions on the entropy production probability…

Statistical Mechanics · Physics 2009-09-25 Gavin E. Crooks

Noncommutativity of observables is a central feature of quantum physics. It plays a fundamental role in the formulation of the uncertainty principle for complementary variables and strongly affects the laws of thermodynamics for systems…

Quantum Physics · Physics 2025-10-07 Franklin L. S. Rodrigues , Eric Lutz

From the Physics point of view, time is now best described through General Relativity, as part of space-time which is a dynamical object encoding gravity. Time possesses also some intrinsic irreversibility due to thermodynamics, quantum…

General Relativity and Quantum Cosmology · Physics 2009-03-30 Florian Girelli , Stefano Liberati , Lorenzo Sindoni

Microreversibility rules the fluctuations of the currents flowing across open systems in nonequilibrium (or equilibrium) steady states. As a consequence, the statistical cumulants of the currents and their response coefficients at arbitrary…

Statistical Mechanics · Physics 2018-08-15 Maximilien Barbier , Pierre Gaspard

We show that time-correlation functions of arbitrary order for any random variable in a statistical dynamical system can be calculated as higher-order response functions of the mean history of the variable. The response is to a ``control…

chao-dyn · Physics 2009-10-31 Gregory L. Eyink

Time-integrated state observables, which quantify the fraction of time spent by the system in a specific pool of states, are important in many fields, such as chemical sensing or the theory of fluorescence spectroscopy. We derive exact…

Statistical Mechanics · Physics 2026-02-23 Krzysztof Ptaszynski , Timur Aslyamov , Massimiliano Esposito

Thermodynamics of quantum coherence has attracted growing attention recently, where the thermodynamic advantage of quantum superposition is characterized in terms of quantum thermodynamics. We investigate thermodynamic effects of quantum…

Statistical Mechanics · Physics 2017-10-25 Yûto Murashita , Zongping Gong , Yuto Ashida , Masahito Ueda

We develop non-equilibrium theory by using averages in time and space as a generalized way to upscale thermodynamics in non-ergodic systems. The approach offers a classical perspective on the energy dynamics in fluctuating systems. The rate…

Soft Condensed Matter · Physics 2021-09-29 James E. McClure , Steffen Berg , Ryan T. Armstrong

Time is absolute in standard quantum theory and dynamical in general relativity. The combination of both theories into a theory of quantum gravity leads therefore to a "problem of time". In my essay I shall investigate those consequences…

General Relativity and Quantum Cosmology · Physics 2009-09-22 Claus Kiefer

Quantum gravitational effects may induce stochastic fluctuations in the structure of space-time, to produce a characteristic foamy structure. It has been known for some time now that these fluctuations may have observable consequencies for…

Astrophysics · Physics 2011-04-05 R. Aloisio , P. Blasi , A. Galante , A. F. Grillo

Fluctuation relations are derived in systems where the spin degree of freedom and magnetic interactions play a crucial role. The form of the non-equilibrium fluctuation theorems relies in the assumption of a local balance condition. We…

Mesoscale and Nanoscale Physics · Physics 2012-06-21 Rosa Lopez , Jong Soo Lim , David Sanchez
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