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Slow dynamics in glassy systems is often interpreted as due to thermally activated events between "metastable" states. This emphasizes the role of nonperturbative fluctuations, which is especially dramatic when these fluctuations destroy a…

Statistical Mechanics · Physics 2015-07-10 Charlotte Rulquin , Pierfrancesco Urbani , Giulio Biroli , Gilles Tarjus , Marco Tarzia

This article studies Markovian stochastic motion of a particle on a graph with finite number of nodes and periodically time-dependent transition rates that satisfy the detailed balance condition at any time. We show that under general…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Vladimir Y. Chernyak , John R. Klein , Nikolai A. Sinitsyn

Recent research has considered the stochastic thermodynamics of multiple interacting systems, representing the overall system as a Bayes net. I derive fluctuation theorems governing the entropy production (EP)of arbitrary sets of the…

Statistical Mechanics · Physics 2025-09-01 David H. Wolpert

In this work we perform theoretical analysis about a coupled RC circuit with constant driven currents. Starting from stochastic differential equations, where voltages are subject to thermal noises, we derive time-correlation functions,…

Statistical Mechanics · Physics 2016-03-23 K. -H. Chiang , C. -W. Chou , C. -L. Lee , P. -Y. Lai , Y. -F. Chen

We compare two approaches to nonequilibrium thermodynamics, the two-generator bracket formulation of time-evolution equations for averages and the macroscopic fluctuation theory, for an isothermal driven diffusive system under steady state…

Statistical Mechanics · Physics 2010-11-10 Hans Christian Ottinger

Fluctuations of observables as functions of time, or "fluctuation patterns", are studied in a chaotic microscopically reversible system that has irreversibly reached a nonequilibrium stationary state. Supposing that during a certain, long…

chao-dyn · Physics 2008-10-08 G. Gallavotti

We examine a biomolecular machine involving a driven, observable process coupled to a hidden process in a kinetically cooperative manner. A stochastic thermodynamics framework is employed to analyze a fluctuation theorem for the…

Statistical Mechanics · Physics 2025-11-14 D. Evan Piephoff , Jianshu Cao

We study the total current correlations for anharmonic chains in thermal equilibrium, putting forward predictions based on the second moment sum rule and on nonlinear fluctuating hydrodynamics. We compare with molecular dynamics simulations…

Statistical Mechanics · Physics 2015-03-13 Christian B. Mendl , Herbert Spohn

We derive a Thermodynamic Uncertainty Relation bounding the mean squared displacement of a Gaussian process with memory, driven out of equilibrium by unbalanced thermal baths and/or by external forces. Our bound is tighter with respect to…

Statistical Mechanics · Physics 2023-05-23 Andrea Plati , Andrea Puglisi , Alessandro Sarracino

We study the entropy production in a macroscopic nonequilibrium system that undergoes an order-disorder phase transition. Entropy production is a characteristic feature of nonequilibrium dynamics with broken detailed balance. It is found…

Statistical Mechanics · Physics 2016-01-20 Pyoung-Seop Shim , Hyun-Myung Chun , Jae Dong Noh

We consider a class of either fermionic or bosonic noninteracting open quantum chains driven by dissipative interactions at the boundaries and study the interplay of coherent transport and dissipative processes, such as bulk dephasing and…

Statistical Mechanics · Physics 2017-11-17 Federico Carollo , Juan P. Garrahan , Igor Lesanovsky , Carlos Pérez-Espigares

We study fluctuations of pressure in equilibrium for classical particle systems. In equilibrium statistical mechanics, pressure for a microscopic state is defined by the derivative of a thermodynamic function or, more mechanically, through…

Statistical Mechanics · Physics 2018-10-05 Ken Hiura , Shin-ichi Sasa

Large entropy fluctuations in an equilibrium steady state of classical mechanics were studied in extensive numerical experiments on a simple 2--freedom strongly chaotic Hamiltonian model described by the modified Arnold cat map. The rise…

Chaotic Dynamics · Physics 2009-10-31 B. V. Chirikov , O. V. Zhirov

A system can be driven out of equilibrium by both time-dependent and nonconservative forces, which gives rise to a decomposition of the dissipation into two non-negative components, called the excess and housekeeping entropy productions. We…

Statistical Mechanics · Physics 2023-05-31 Takuya Kamijima , Sosuke Ito , Andreas Dechant , Takahiro Sagawa

The thermodynamic behavior of out-of-equilibrium quantum systems in finite-time dynamics encompasses the description of energy fluctuations, which dictates a series of system's physical properties. In addition, strong interactions in…

Quantum Physics · Physics 2020-08-05 Krissia Zawadzki , Roberto M. Serra , Irene D'Amico

The stochastic entropy generated during the evolution of a system interacting with an environment may be separated into three components, but only two of these have a non-negative mean. The third component of entropy production is…

Statistical Mechanics · Physics 2013-05-30 Ian J. Ford , Richard E. Spinney

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

Employing the stochastic wave function method, we study quantum features of stochastic entropy production in nonequilibrium processes of open systems. It is demonstarted that continuous measurements on the environment introduce an…

Quantum Physics · Physics 2013-10-16 B. Leggio , A. Napoli , A. Messina , H. -P. Breuer

We construct a minimal two-chain random walk model and study the information that fluctuations of the flux and higher cumulants can reveal about the model: its structure, parameters, and whether it operates under nonequilibrium conditions.…

Statistical Mechanics · Physics 2024-07-08 Joanna Li , Matthew Gerry , Israel Klich , Dvira Segal

We study the time-averaged flow in a model of particles that randomly hop on a finite directed graph. In the limit as the number of particles and the time window go to infinity but the graph remains finite, the large-deviation rate…

Statistical Mechanics · Physics 2020-12-02 Davide Gabrielli , D. R. Michiel Renger
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