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We study quantum conditional entropy production, which quantifies the irreversibility of system-environment evolution from the perspective of a third system, called the reference. The reference is initially correlated with the system. We…

Quantum Physics · Physics 2022-08-01 Kun Zhang , Xuanhua Wang , Qian Zeng , Jin Wang

The entropy production rate is central to the study of non-equilibrium systems. This parameter is closely connected to violation of time-reversal symmetry, energy consumption, efficiency, and other properties of interest; in short, it…

Statistical Mechanics · Physics 2026-05-28 John W. Biddle

A famous consequence of the detailed fluctuation theorem (FT), $p(\Sigma)/p(-\Sigma)=\exp{(\Sigma)}$, is the integral FT $\langle \exp(-\Sigma)\rangle =1$ for a random variable $\Sigma$ and a distribution $p(\Sigma)$. When $\Sigma$…

Statistical Mechanics · Physics 2023-07-05 Domingos S. P. Salazar

We study non-equilibrium statistical mechanics of a Gaussian dynamical system and compute in closed form the large deviation functionals describing the fluctuations of the entropy production observable with respect to the reference state…

Mathematical Physics · Physics 2016-08-03 Vojkan Jaksic , Claude-Alain Pillet , Armen Shirikyan

Entropy generation in a chemical reaction is analyzed without using the general formalism of non-equilibrium thermodynamics at a level adequate for advanced undergraduates. In a first approach to the problem, the phenomenological kinetic…

General Physics · Physics 2015-06-11 E. N. Miranda

We consider the generic model of a finite-size quantum electron system connected to two (temperature and particle) reservoirs. The quantum open system is driven out of equilibrium by the presence of both a temperature and a chemical…

Statistical Mechanics · Physics 2017-04-04 H. Ness

A unified formulation of the density functional theory is constructed on the foundations of entropic inference in both the classical and the quantum regimes. The theory is introduced as an application of entropic inference for inhomogeneous…

Statistical Mechanics · Physics 2021-12-20 Ahmad Yousefi

Fluctuation theorems establish that thermodynamic processes at the microscale can occasionally result in negative entropy production. At the microscale, another distinct possibility becomes more likely: processes in which no entropy is…

Statistical Mechanics · Physics 2026-03-11 Abhaya S. Hegde , André M. Timpanaro , Gabriel T. Landi

The entropy production rate (EPR) offers a quantitative measure of time reversal symmetry breaking in non-equilibrium systems. It can be defined either at particle level or at the level of coarse-grained fields such as density; the EPR for…

Statistical Mechanics · Physics 2021-02-03 Yuting I. Li , Michael E. Cates

Understanding the entropy production of systems strongly coupled to thermal baths is a core problem of both quantum thermodynamics and mesoscopic physics. While there exist many techniques to accurately study entropy production in such…

The time-reversal symmetry of nonequilibrium fluctuations is experimentally investigated in two out-of-equilibrium systems namely, a Brownian particle in a trap moving at constant speed and an electric circuit with an imposed mean current.…

Statistical Mechanics · Physics 2016-08-31 David Andrieux , Pierre Gaspard , Sergio Ciliberto , Nicolas Garnier , Sylvain Joubaud , Artyom Petrosyan

We show that macroscopic irreversible thermodynamics for viscous fluids can be derived from exact information-theoretic thermodynamic identities valid at the microscale. Entropy production, in particular, is a measure of the loss of…

Statistical Mechanics · Physics 2025-02-17 Danilo Forastiere , Francesco Avanzini , Massimiliano Esposito

Detailed fluctuation theorems are statements about the probability distribution for the stochastic entropy production along a trajectory. It involves the consideration of a suitably transformed dynamics, such as the time reversed, the…

Statistical Mechanics · Physics 2015-01-07 T. Becker , T. Willaert , B. Cleuren , C. Van den Broeck

We study fluctuation theorems for open quantum systems with a non-Markovian heat bath using the approach of quantum master equations and examine the physical quantities that appear in those fluctuation theorems. The approach of Markovian…

Statistical Mechanics · Physics 2015-05-28 Tatsuro Kawamoto , Naomichi Hatano

Linear, irreversible thermodynamics predicts that the entropy production rate can become negative. We demonstrate this prediction for metals under AC-driving whose conductivity is well-described by the Drude-Sommerfeld model. We then show…

Statistical Mechanics · Physics 2022-01-26 Marcus V. S. Bonança , Sebastian Deffner

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…

Quantum Physics · Physics 2018-07-24 Maria Popovic , Bassano Vacchini , Steve Campbell

We compare several definitions of entropy production rate introduced in the literature from a large variety of situations and motivations, and then analyze their relations with memory effects. Considering a relevant experimental example of…

Quantum Physics · Physics 2026-01-30 Guillaume Théret , Dominique Sugny , Camille L. Latune

We derive the law of entropy non-decrease directly from the Kelvin-Planck principle for simple and compound systems without using the Clausius inequality. A key of the derivation is a new formulation of entropy in terms of work by a Carnot…

Statistical Mechanics · Physics 2025-10-21 Yuki Izumida

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…

Mathematical Physics · Physics 2024-09-25 Tristan Benoist , Laurent Bruneau , Vojkan Jaksic , Annalisa Panati , Claude-Alain Pillet

We investigate the entropy production within dissipative hydrodynamics in the Israel-Stewart (IS) and Navier-Stokes theory (NS) for relativistic heavy ion physics applications. In particular we focus on the initial condition in a 0+1D…

High Energy Physics - Phenomenology · Physics 2015-05-28 Stefano Mattiello
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