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While entropy changes are the usual subject of fluctuation theorems, we seek fluctuation relations involving time-symmetric quantities, namely observables that do not change sign if the trajectories are observed backward in time. We find…

Statistical Mechanics · Physics 2015-11-04 Marco Baiesi , Gianmaria Falasco

The postulational basis of classical thermodynamics has been expanded to incorporate equilibrium fluctuations. The main additional elements of the proposed thermodynamic theory are the concept of quasi-equilibrium states, a definition of…

Statistical Mechanics · Physics 2019-06-11 Y. Mishin

We investigate the validity of fluctuation theorems for an asymmetric rotor experiment in a granular gas. A first state, with a Gaussian distribution of the angular velocity, is found to be well described by a first order Langevin equation.…

Statistical Mechanics · Physics 2012-04-30 Sylvain Joubaud , Detlef Lohse , Devaraj Van Der Meer

There is evidence that taking the time average of the work performed by a thermally isolated system effectively "transforms" the adiabatic process into an isothermal one. This approach allows inherent quantities of adiabatic processes to be…

Statistical Mechanics · Physics 2025-10-03 Pierre Nazé

We formulate a geometric framework in which physical laws emerge from restricted access to microscopic information. Measurement constraints are modeled as a gauge symmetry acting on density operators, inducing a gauge-reduced space of…

Quantum Physics · Physics 2026-05-19 Tiago Pernambuco , Lucas Chibebe Céleri

We consider open quantum systems weakly coupled to a heat reservoir and driven by arbitrary time-dependent parameters. We derive exact microscopic expressions for the nonequilibrium entropy production and entropy production rate, valid…

Statistical Mechanics · Physics 2012-10-24 Sebastian Deffner , Eric Lutz

We study the statistics of the power flux into a collection of inelastic beads maintained in a fluidized steady-state by external mechanical driving. The power shows large fluctuations, including frequent large negative fluctuations, about…

Soft Condensed Matter · Physics 2007-05-23 Klebert Feitosa , Narayanan Menon

The driving force of the dynamical system can be decomposed into the gradient of a potential landscape and curl flux (current). The fluctuation-dissipation theorem (FDT) is often applied to near equilibrium systems with detailed balance.…

Statistical Mechanics · Physics 2015-05-30 Haidong Feng , Jin Wang

The second law of thermodynamics imposes an increase of macroscopic entropy with time in an isolated system. Microscopically, however, the entropy production can be negative for a single, microscopic realization of a thermodynamic process.…

Solar and Stellar Astrophysics · Physics 2018-12-07 Andrei Gorobets , Svetlana Berdyugina

Fluctuation theorems impose constraints on possible work extraction probabilities in thermodynamical processes. These constraints are stronger than the usual second law, which is concerned only with average values. Here, we show that such…

Quantum Physics · Physics 2020-02-21 Paul Boes , Rodrigo Gallego , Nelly H. Y. Ng , Jens Eisert , Henrik Wilming

We show that the fluctuations of the partial current in two dimensional diffusive systems are dominated by vortices leading to a different scaling from the one predicted by the hydrodynamic large deviation theory. This is supported by exact…

Statistical Mechanics · Physics 2009-11-13 T. Bodineau , B. Derrida , J. Lebowitz

The fluctuation-dissipation relation is usually formulated for a system interacting with a heat bath at finite temperature in the context of linear response theory, where only small deviations from the mean are considered. We show that for…

Quantum Physics · Physics 2013-07-11 C. H. Fleming , B. L. Hu , Albert Roura

The counting statistics of electron transport is theoretically studied in a system with two capacitively coupled parallel transport channels. Each channel is composed of a quantum dot connected by tunneling to two reservoirs. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Gregory Bulnes Cuetara , Massimiliano Esposito , Pierre Gaspard

The Trajectory Class Fluctuation Theorem (TCFT) substantially strengthens the Second Law of Thermodynamics -- that, in point of fact, can be a rather weak bound on resource fluxes. Practically, it improves empirical estimates of free…

Statistical Mechanics · Physics 2024-04-30 Gregory Wimsatt , Alexander B. Boyd , James P. Crutchfield

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

The energy of a finite system thermally connected to a thermal reservoir may fluctuate, while the temperature is a constant representing a thermodynamic property of the reservoir. The finite system can also be used as a thermometer for the…

Statistical Mechanics · Physics 2015-05-28 M. Falcioni , A. Puglisi , A. Sarracino , D. Villamaina , A. Vulpiani

We have analyzed the spectral density of fluctuations of the energy flux through a mesoscopic constriction between two equilibrium reservoirs. It is shown that at finite frequencies, the fluctuating energy flux is not related to the thermal…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Dmitri V. Averin , Jukka P. Pekola

Thermodynamic uncertainty relations quantify how the signal-to-noise ratio of a given observable is constrained by dissipation. Fluctuation relations generalize the second law of thermodynamics to stochastic processes. We show that any…

Statistical Mechanics · Physics 2019-11-26 Patrick P. Potts , Peter Samuelsson

We show that for stochastic dynamical systems out of equilibrium the violation of the fluctuation-dissipation equality is bounded by a function of the entropy production. The result applies to a much wider situation than `near equilibrium',…

Statistical Mechanics · Physics 2009-01-23 Leticia F. Cugliandolo , David S. Dean , Jorge Kurchan

In equilibrium, the fluctuation-dissipation theorem (FDT) expresses the response of an observable to a small perturbation by a correlation function of this variable with another one that is conjugate to the perturbation with respect to…

Statistical Mechanics · Physics 2010-10-13 Udo Seifert , Thomas Speck