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For periodically driven systems, we derive a family of inequalities that relate entropy production with experimentally accessible data for the mean, its dependence on driving frequency, and the variance of a large class of observables. With…

统计力学 · 物理学 2019-06-25 Timur Koyuk , Udo Seifert

Turbulent flows are out-of-equilibrium because the energy supply at large scales and its dissipation by viscosity at small scales create a net transfer of energy among all scales. Here, the energy cascade is approximated by a combined…

流体动力学 · 物理学 2021-01-11 Amilcare Porporato , Milad Hooshyar , Andrew D Bragg , Gabriel Katul

We study nonequilibrium thermodynamics of complex information flows induced by interactions between multiple fluctuating systems. Characterizing nonequilibrium dynamics by causal networks (i.e., Bayesian networks), we obtain novel…

统计力学 · 物理学 2013-11-07 Sosuke Ito , Takahiro Sagawa

The tendency of irreversible processes to generate entropy is the ultimate driving force for the evolution of nature. In engineering, entropy production is often used as a measure of usable energy losses. In this study we show that the…

地球物理 · 物理学 2018-10-30 Yi Yang , Stefan Bruns , Susan Stipp , Henning Sørensen

We study the critical behavior of the entropy production of the Ising model subject to a magnetic field that oscillates in time. The mean-field model displays a phase transition that can be either first or second-order, depending on the…

统计力学 · 物理学 2016-12-07 Yirui Zhang , Andre C Barato

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',…

统计力学 · 物理学 2009-01-23 Leticia F. Cugliandolo , David S. Dean , Jorge Kurchan

Nonequilibrium thermodynamics of a general second-order stochastic system is investigated. We prove that at steady state, under inversion of velocities, the condition of time-reversibility over the phase space is equivalent to the…

统计力学 · 物理学 2015-10-28 Hao Ge

The entropy per particle in most Monte-Carlo simulations is size dependent due to correlated energy fluctuations. Guided by nanothermodynamics, we find a constraint for the Ising model that enhances the fluctuations and lowers the free…

统计力学 · 物理学 2009-04-28 Ralph V. Chamberlin , George H. Wolf

Stochastic reaction networks are mathematical models frequently used in, but not limited to, biochemistry. These models are continuous-time Markov chains whose transition rates depend on certain parameters called rate constants, which…

概率论 · 数学 2025-08-14 Daniele Cappelletti , Aidan Howells , Chuang Xu

Entropy production is a universal measure of irreversibility and energy dissipation in physical, chemical, and biological systems operating far from equilibrium. However, quantifying and spatiotemporally localising it in complex processes…

统计力学 · 物理学 2026-05-18 Biswajit Das , Sreekanth K Manikandan

We study a spatial diffusion process generated by velocity fluctuations of intermittent nature. We note that intermittence reduces the entropy production rate while enhancing the diffusion strength. We study a case of space-dependent…

统计力学 · 物理学 2007-05-23 Paolo Grigolini , Riccardo Mannella , Luigi Palatella

We derive an exact expression for entropy production during effusion of an ideal gas driven by momentum transfer in addition to energy and particle flux. Following the treatment in Phys. Rev. E Vol. 74, 021117 (2006), we construct a master…

经典物理 · 物理学 2009-11-13 Kevin Wood , C. Van den Broeck , R. Kawai , Katja Lindenberg

We investigate the influence of aperiodic modulations of the exchange interactions between nearest-neighbour rows on the phase transition of the two-dimensional eight-state Potts model. The systems are studied numerically through intensive…

统计力学 · 物理学 2009-10-31 Christophe Chatelain , Pierre Emmanuel Berche , Bertrand Berche

Clarifying the impact of quantumness in the operation and properties of thermal machines represents a major challenge. Here we envisage a toy model acting either as an information-driven fridge or as heat-powered information eraser in which…

量子物理 · 物理学 2018-09-26 Gonzalo Manzano

We develop and implement new probabilistic strategy for proving exponential ergodicity for interacting diffusion processes on unbounded lattice. The concept of the solution used is rather weak as we construct the process in infinite…

概率论 · 数学 2015-02-04 Frantisek Zak

The quantitative convergence to equilibrium for reaction-diffusion systems arising from complex balanced chemical reaction networks with mass action kinetics is studied by using the so-called entropy method. In the first part of the paper,…

偏微分方程分析 · 数学 2016-11-11 Laurent Desvillettes , Klemens Fellner , Bao Quoc Tang

The statistical properties of species undergoing chemical reactions in a turbulent environment are studied. We focus on the case of reversible multi-component reactions of second and higher orders, in a condition close to chemical…

流体动力学 · 物理学 2020-08-25 Wenwei Wu , Enrico Calzavarini , François G. Schmitt , Lipo Wang

We consider a thermodynamically correct framework for electro-energy-reaction-diffusion systems, which feature a monotone entropy functional while conserving the total charge and the total energy. For these systems, we construct a relative…

偏微分方程分析 · 数学 2025-08-08 Michael Kniely

Certain fluctuations in particle number at fixed total energy lead exactly to a cut-power law distribution in the one-particle energy, via the induced fluctuations in the phase-space volume ratio. The temperature parameter is expressed…

统计力学 · 物理学 2014-12-10 Tamas Sandor Biro , Peter Van , Gergely Gabor Barnafoldi , Karoly Urmossy

Within the Rayleigh-Helmholtz model of active Brownian particles activity is due to a non-linear velocity dependent force. In the presence of an external trapping potential or a constant force, the steady state of the system breaks detailed…

统计力学 · 物理学 2015-06-19 Debasish Chaudhuri