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Using the stochastic thermodynamics, we determine the entropy production and the dynamic heat capacity of systems subject to a sinusoidally time dependent temperature, in which case the systems are permanently out of thermodynamic…

Statistical Mechanics · Physics 2019-06-26 Carlos E. Fiore , Mário J. de Oliveira

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…

Quantum Physics · Physics 2024-08-26 Adalberto D. Varizi , Pedro S. Correia

We consider a finite chain of non-linear oscillators coupled at its ends to two infinite heat baths which are at different temperatures. Using our earlier results about the existence of a stationary state, we show rigorously that for…

chao-dyn · Physics 2015-06-24 Jean-Pierre Eckmann , Claude-Alain Pillet , Luc Rey-Bellet

A rigorous derivation of nonequilibrium entropy production via the path-integral formalism is presented. Entropy production is defined as the entropy change piled in a heat reservoir as a result of a nonequilibrium thermodynamic process. It…

Statistical Mechanics · Physics 2015-10-28 Chulan Kwon

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…

Statistical Mechanics · Physics 2015-10-14 Ian J. Ford , Zachary P. L. Laker , Henry J. Charlesworth

The second law of nonequilibrium thermodynamics within the open system paradigm (a small system coupled to one or multiple baths) is derived. This is done by showing positivity of entropy production for arbitrary Hamiltonian dynamics for a…

Statistical Mechanics · Physics 2020-08-28 Philipp Strasberg

In the weak-coupling limit approach to open quantum systems, the presence of the bath is eliminated and accounted for by a master equation that introduces dissipative contributions to the system reduced dynamics. Within this framework,…

Quantum Physics · Physics 2017-10-03 S. Marcantoni , S. Alipour , F. Benatti , R. Floreanini , A. T. Rezakhani

Nonequilibrium thermodynamics (NET) investigates processes in systems out of global equilibrium. On a mesoscopic level, it provides a statistical dynamic description of various complex phenomena such as chemical reactions, ion transport,…

Statistical Mechanics · Physics 2016-04-20 Hong Qian , Signe Kjelstrup , Anatoly B. Kolomeisky , Dick Bedeaux

We investigate the decomposition of the total entropy production in continuous stochastic dynamics when there are odd-parity variables that change their signs under time reversal. The first component of the entropy production, which…

Statistical Mechanics · Physics 2020-01-08 Joonhyun Yeo , Chulan Kwon , Hyun Keun Lee , Hyunggyu Park

Progress in miniaturized technology allows us to control physical systems at nanoscale with remarkable precision. Experimental advancements have sparked interest in control problems in stochastic thermodynamics, typically concerning a…

Statistical Mechanics · Physics 2025-03-26 Julia Sanders , Marco Baldovin , Paolo Muratore-Ginanneschi

We investigate a class of anharmonic crystals in $d$ dimensions, $d\ge 1$, coupled to both external and internal heat baths of the Ornstein-Uhlenbeck type. The external heat baths, applied at the boundaries in the 1-direction, are at…

Statistical Mechanics · Physics 2009-03-04 Federico Bonetto , Joel L. Lebowitz , Jani Lukkarinen , Stefano Olla

We study the statistics of infima, stopping times and passage probabilities of entropy production in nonequilibrium steady states, and show that they are universal. We consider two examples of stopping times: first-passage times of entropy…

Statistical Mechanics · Physics 2017-02-28 Izaak Neri , Édgar Roldán , Frank Jülicher

We define the entropy operator as the negative of the logarithm of the density matrix, give a prescription for extracting its thermodynamically measurable part, and discuss its dynamics. For an isolated system we derive the first, second…

Statistical Mechanics · Physics 2016-07-06 E. Solano-Carrillo , A. J. Millis

The Von Neumann entropy of reduced states is a measure of bipartite entanglement. Despite its name, the entanglement entropy cannot by itself be used as a resource for creating thermodynamic heat flows. In order to extract heat from an…

Quantum Physics · Physics 2026-05-04 Lisa Lenstra , Jasper van Wezel

The problem of estimating entropy production from incomplete information in stochastic thermodynamics is essential for theory and experiments. Whereas a considerable amount of work has been done on this topic, arguably, most of it is…

Statistical Mechanics · Physics 2024-12-17 Pedro E. Harunari , Carlos E. Fiore , Andre C. Barato

Most natural systems operate far from equilibrium, displaying time-asymmetric, irreversible dynamics characterized by a positive entropy production while exchanging energy and matter with the environment. Although stochastic thermodynamics…

Statistical Mechanics · Physics 2023-06-27 Miguel Aguilera , Masanao Igarashi , Hideaki Shimazaki

Out-of-equilibrium systems continuously generate entropy, with its rate of production being a fingerprint of non-equilibrium conditions. In small-scale dissipative systems subject to thermal noise, fluctuations of entropy production are…

Statistical Mechanics · Physics 2023-01-19 Prajwal Padmanabha , Daniel Maria Busiello , Amos Maritan , Deepak Gupta

Entropy production is often interpreted as a proxy for microscopic disorder or environmental roughness in stochastic systems. We test this interpretation using controlled simulations of overdamped stochastic dynamics on curved surfaces in…

Statistical Mechanics · Physics 2026-02-23 Patrick Romanescu

Stochastic thermodynamics allows us to define heat and work for microscopic systems far from thermodynamic equilibrium, based on observations of their stochastic dynamics. However, a complete account of the energetics necessitates that all…

Statistical Mechanics · Physics 2021-08-31 Jannik Ehrich

Bridging the second law of thermodynamics and microscopic reversible dynamics has been a longstanding problem in statistical physics. We here address this problem on the basis of quantum many-body physics, and discuss how the entropy…

Statistical Mechanics · Physics 2018-01-03 Kazuya Kaneko , Eiki Iyoda , Takahiro Sagawa