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Biological, artificial, and physical systems dissipate energy to accurately transmit information. While tools of information theory have been used to characterize information-processing capabilities, how reliably this information is…

Statistical Mechanics · Physics 2026-05-29 Giorgio Nicoletti , Daniel M. Busiello

Traditional thermodynamics governs the behaviour of large systems that evolve between states of thermal equilibrium. For these large systems, the mean values of thermodynamic quantities (such as work, heat and entropy) provide a good…

Statistical Mechanics · Physics 2019-05-01 Andrew J. P. Garner

We consider the thermodynamic properties of systems in contact with an information source and focus on the consequences of energetic cost associated with the exchange of information. To this end we introduce the model of a thermal tape and…

Statistical Mechanics · Physics 2015-06-18 Johannes Hoppenau , Andreas Engel

The common saying, that information is power, takes a rigorous form in stochastic thermodynamics, where a quantitative equivalence between the two helps explain the paradox of Maxwell's demon in its ability to reduce entropy. In the present…

Statistical Mechanics · Physics 2021-03-09 Amirhossein Taghvaei , Olga Movilla Miangolarra , Rui Fu , Yongxin Chen , Tryphon T. Georgiou

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

Fluctuations are intrinsic to microscopic systems and impose fundamental limits on nonequilibrium precision, as captured by the thermodynamic uncertainty relation (TUR), which links current fluctuations to entropy production. While feedback…

Quantum Physics · Physics 2026-02-27 Ryotaro Honma , Tan Van Vu

Using a one-dimensional macromolecule in aqueous solution as an illustration, we demonstrate that the relative entropy from information theory, $\sum_k p_k\ln(p_k/p_k^*)$, has a natural role in the energetics of equilibrium and…

Mathematical Physics · Physics 2007-05-23 Hong Qian

Active biological systems reside far from equilibrium, dissipating heat even in their steady state, thus requiring an extension of conventional equilibrium thermodynamics and statistical mechanics. In this Letter, we have extended the…

Soft Condensed Matter · Physics 2017-12-22 Dibyendu Mandal , Katherine Klymko , Michael R. DeWeese

We develop an axiomatic reconstruction of thermodynamics based entirely on two primitive components: a description of what aspects of a system are observed and a reference measure that encodes the underlying descriptive convention. These…

Chemical Physics · Physics 2026-01-21 Tatsuaki Tsuruyama

Inferring the directionality of interactions between cellular processes is a major challenge in systems biology. Time-lagged correlations allow to discriminate between alternative models, but they still rely on assumed underlying…

Quantitative Methods · Quantitative Biology 2017-11-15 Sourabh Lahiri , Philippe Nghe , Sander J. Tans , Martin Luc Rosinberg , David Lacoste

Recently, there has been a considerable progress on the issue of the thermodynamic second law, which is known as the law of entropy increase or irreversibility. In particular, a novel symmetry known as the Gallavotti-Cohen symmetry is found…

Statistical Mechanics · Physics 2018-08-01 Hyunggyu Park

In statistical physics entropy is usually introduced as a global quantity which expresses the amount of information that would be needed to specify the microscopic configuration of a system. However, for lattice models with infinitely many…

Statistical Mechanics · Physics 2015-06-12 Ulrich Müller , Haye Hinrichsen

We explore the role a non-Markovian memory kernel plays on information exchange and entropy production in the context of a external work protocol. The Jarzynski Equality is shown to hold for both the harmonic and the non-harmonic models. We…

Statistical Mechanics · Physics 2021-02-10 J. Martins , L. Defaveri , D. O. Soares-Pinto , S. M. D. Queirós , W. A. M. Morgado

The development of stochastic thermodynamics during the last decades prompted the discovery of novel nonequilibrium relations refining our understanding of the second law in small fluctuating systems and its connection with information…

Physics and Society · Physics 2025-11-19 Luis Irisarri , Lucas Trigal , Raúl Toral , Gonzalo Manzano

I give a quick overview of some of the theoretical background necessary for using modern non-equilibrium statistical physics to investigate the thermodynamics of computation. I first present some of the necessary concepts from information…

Statistical Mechanics · Physics 2019-06-20 David H. Wolpert

Thermodynamic entropy, as defined by Clausius, characterizes macroscopic observations of a system based on phenomenological quantities such as temperature and heat. In contrast, information-theoretic entropy, introduced by Shannon, is a…

Quantum Physics · Physics 2017-01-04 Mirjam Weilenmann , Lea Krämer , Philippe Faist , Renato Renner

In this study, we uncover the intrinsic information processes in non-Hermitian quantum systems and their thermodynamic effects. We demonstrate that these systems can exhibit negative entropy production, making them potential candidates for…

Quantum Physics · Physics 2024-08-09 Kui Cao , Qian Du , Su-Peng Kou

Heat, work and entropy production: the statistical distribution of such quantities are constrained by the fluctuation theorems (FT), which reveal crucial properties about the nature of non-equilibrium dynamics. In this paper we report…

Quantum Physics · Physics 2021-10-15 K. Khan , J. Sales Araújo , W. F. Magalhães , G. H. Aguilar , B. de Lima Bernardo

Fluctuating entropy production is studied for a set of linearly coupled complex fields. The general result is applied to non-equilibrium fluctuating hydrodynamic equations for coarse-grained fields (density, temperature and velocity), in…

Statistical Mechanics · Physics 2012-07-09 Giacomo Gradenigo , Andrea Puglisi , Alessandro Sarracino

We derive integral quantum fluctuation theorems and quantum Jarzynski equalities for a feedback-controlled system and a memory which registers outcomes of the measurement. The obtained equalities involve the information content, which…

Statistical Mechanics · Physics 2014-01-30 Ken Funo , Yu Watanabe , Masahito Ueda
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