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We study fluctuations of entropy production for a charged Brownian particle confined in a harmonic trap and driven out of equilibrium by crossed electric and magnetic fields. The magnetic field is constant and perpendicular to the plane of…

统计力学 · 物理学 2025-12-19 L. C. González-Morales , I. Pérez Castillo , J. I. Jiménez-Aquino

We study the entropy production of Gibbs (equilibrium) measures for chaotic dynamical systems with folding of the phase space. The dynamical chaotic model is that generated by a hyperbolic non-invertible map $f$ on a general basic (possibly…

动力系统 · 数学 2011-04-14 Eugen Mihailescu

We study the relationship between (non-)Markovian evolutions, established correlations, and the entropy production rate. We consider a system qubit in contact with a thermal bath and in addition the system is strongly coupled to an…

量子物理 · 物理学 2018-07-24 Maria Popovic , Bassano Vacchini , Steve Campbell

Traditional thermodynamic trade-off relations usually apply to quantities that depend linearly on probability distributions. In contrast, many important information-theoretic measures, such as entropies, are nonlinear and therefore…

统计力学 · 物理学 2026-02-17 Yoshihiko Hasegawa

By using entropy and entropy production, we calculate the steady flux of some phenomena. The method we use is a competition method, $S_S/\tau+\sigma={\it maximum}$, where $S_S$ is system entropy, $\sigma$ is entropy production and $\tau$ is…

统计力学 · 物理学 2016-07-26 Yong-Jun Zhang

Identifying dissipation is essential for understanding the physical mechanisms underlying nonequilibrium processes. {In living systems, for example, the dissipation is directly related to the hydrolysis of fuel molecules such as adenosine…

统计力学 · 物理学 2019-09-02 Ignacio A. Martínez , Gili Bisker , Jordan M. Horowitz , Juan M. R. Parrondo

Recent theoretical investigations of the two-times measurement entropy production (2TMEP) in quantum statistical mechanics have shed a new light on the mathematics and physics of the quantum-mechanical probabilistic rules. Among notable…

Entropy production plays a fundamental role in nonequilibrium thermodynamics to quantify the irreversibility of open systems. Its positivity can be ensured for a wide class of setups, but the entropy production rate can become negative…

统计力学 · 物理学 2019-01-23 Philipp Strasberg , Massimiliano Esposito

EEG time series are analyzed using the diffusion entropy method. The resulting EEG entropy manifests short-time scaling, asymptotic saturation and an attenuated alpha-rhythm modulation. These properties are faithfully modeled by a…

数据分析、统计与概率 · 物理学 2009-03-06 M. Ignaccolo , M. Latka , W. Jernajczyk , P. Grigolini , B. J. West

Estimating entropy production in continuous systems that can only be observed with a limited resolution remains an open problem in stochastic thermodynamics. Extant estimators based on the measurement of waiting-time distributions require…

统计力学 · 物理学 2026-03-06 Jonas H. Fritz , Udo Seifert

Entropy production is the crucial quantity characterizing irreversible phenomena and the second law of thermodynamics. Yet, a ubiquitous definition eludes consensus. Given that entropy production arises from incomplete access to…

量子物理 · 物理学 2024-08-26 Adalberto D. Varizi , Pedro S. Correia

In nature stationary nonequilibrium systems cannot exist on their own, rather they need to be driven from outside in order to keep them away from equilibrium. While the internal mean entropy of such stationary systems is constant, the…

统计力学 · 物理学 2013-10-03 Somayeh Zeraati , Farhad H. Jafarpour , Haye Hinrichsen

We compute statistical properties of the stochastic entropy production associated with the nonstationary transport of heat through a system coupled to a time dependent nonisothermal heat bath. We study the 1-d stochastic evolution of a…

统计力学 · 物理学 2015-10-14 Ian J. Ford , Zachary P. L. Laker , Henry J. Charlesworth

Stability and efficiency are mutually exclusive in a thermodynamic process, e.g. in a thermal machine. Any effort to reduce the fluctuations of a certain output quantity is necessarily accompanied by an increase of entropy production,…

介观与纳米尺度物理 · 物理学 2026-05-14 Franco Mayo , Nahual Sobrino , Rosario Fazio , Fabio Taddei , Michele Governale

Thermodynamic uncertainty relations (TURs) are recently established relations between the relative uncertainty of time-integrated currents and entropy production in nonequilibrium systems. For small perturbations away from equilibrium,…

统计力学 · 物理学 2018-10-05 Katarzyna Macieszczak , Kay Brandner , Juan P. Garrahan

We study nonequilibrium thermodynamic properties of a driven one-dimensional quantum fluid by combining nonlinear Luttinger liquid theory with the quantum kinetic equation. In particular, we derive an entropy production consistent with the…

介观与纳米尺度物理 · 物理学 2019-10-09 Edvin G. Idrisov , Thomas L. Schmidt

Thermodynamic uncertainty relations (TURs) express a fundamental tradeoff between the precision (inverse scaled variance) of any thermodynamic current by functionals of the average entropy production. Relying on purely variational…

统计力学 · 物理学 2022-11-28 Kyle J. Ray , Alexander B. Boyd , Giacomo Guarnieri , James P. Crutchfield

We address the emergence of entropy production in the non-equilibrium process of an open quantum system from the viewpoint of the environment. By making use of a dilation-based approach akin to Stinespring theorem, we derive an expression…

In stochastic thermodynamics, the entropy production of a thermodynamic system is defined by the irreversibility measured by the logarithm of the ratio of the path probabilities in the forward and reverse processes. We derive the relation…

统计力学 · 物理学 2018-03-14 Hyun-Myung Chun , Jae Dong Noh

For a system moving away from equilibrium, we express the entropy production via a two-point correlation function for any time and any distance from equilibrium. The long-time limit gives the sum of the Lyapunov exponents for a general…

混沌动力学 · 物理学 2007-05-23 Gregory Falkovich , Alexander Fouxon