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Thermodynamic uncertainty relations reveal a fundamental trade-off between the precision of a trajectory observable and entropy production, where the uncertainty of the observable is quantified by its variance. In information theory,…

Statistical Mechanics · Physics 2025-11-25 Yoshihiko Hasegawa , Tomohiro Nishiyama

In the last ten years, a number of ``Conventional Fluctuation Theorems'' have been derived for systems with deterministic or stochastic dynamics, in a transient or in a non-equilibrium stationary state. These theorems gave explicit…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen

The interplay between information, dissipation, and control is reshaping our understanding of thermodynamics in feedback-regulated systems. We develop the informational Onsager-Machlup principle, a generalized variational framework that…

Soft Condensed Matter · Physics 2026-04-30 Kento Yasuda , Kenta Ishimoto , Shigeyuki Komura

In an asymmetric Szilard engine model of Maxwell's demon, we show the equivalence between information theoretical and thermodynamic entropies when the demon erases information optimally. The work gain by the engine can be exactly canceled…

Classical Physics · Physics 2011-12-13 Akio Hosoya , Koji Maruyama , Yutaka Shikano

The relation between the work performed to a system and the change of its free energy during a certain process is important in nonequilibrium statistical mechanics. In particular, the work relation with measurement and feedback control has…

Statistical Mechanics · Physics 2018-11-26 Hideyuki Miyahara , Kazuyuki Aihara

We study thermodynamic limits when controllers operate with only partial observability of internal correlations in multipartite systems. Understanding the costs imposed by lack of information is crucial in settings where agents must act…

Statistical Mechanics · Physics 2025-09-25 Akihito Sudo

Motivated by the recent work by Mandal and Jarzynski on autonomous Maxwell demon information engine, we have extended their model by introducing two different heat baths. The system (demon) is coupled to a memory register (tape) and a work…

Statistical Mechanics · Physics 2016-11-23 Shubhashis Rana , A. M. Jayannavar

In traditional thermodynamical and statistical-mechanical approaches one has (some) detailed knowledge of the principles governing the microdynamics of a system. However in many instances we may not have a Hamiltonian or good information…

Statistical Mechanics · Physics 2007-05-23 David Ford

We show that the conservation and the non-additivity of the information, together with the additivity of the entropy make the entropy increase in an isolated system. The collapse of the entangled quantum state offers an example of the…

Quantum Physics · Physics 2009-11-13 Qi-Ren Zhang

Stochastic thermodynamics provides the framework to analyze thermodynamic laws and quantities along individual trajectories of small but fully observable systems. If the observable level fails to capture all relevant degrees of freedom,…

Statistical Mechanics · Physics 2024-07-01 Julius Degünther , Jann van der Meer , Udo Seifert

The second law of thermodynamics dictates the fundamental limits to the amount of energy and information that can be exchanged between physical systems. In this work, we extend a thermodynamic formalism describing this flow of energy and…

Statistical Mechanics · Physics 2015-03-24 Jordan M. Horowitz

We give a thermodynamically consistent description of simultaneous heat and particle transport, as well as of the associated cross-effects, in the framework of a chaotic dynamical system, a generalized multibaker map. Besides the density, a…

chao-dyn · Physics 2009-10-31 Laszlo Matyas , Tamas Tel , Jurgen Vollmer

The association of information with entropy has been argued on plausibility arguments involving the operation of imaginary engines and beings, and it is not a universal theorem. In this paper, a theorem by Charles Bennett on reversible…

Statistical Mechanics · Physics 2023-04-24 Penha Maria Cardozo Dias

The efficiency of a feedback mechanism depends on the precision of the measurement outcomes obtained from the controlled system. Accordingly, measurement errors affect the entropy production in the system. We explore this issue in the…

Statistical Mechanics · Physics 2013-05-29 T. Munakata , M. L. Rosinberg

We provide a simple physical interpretation, in the context of the second law of thermodynamics, to the information inequality (a.k.a. the Gibbs' inequality, which is also equivalent to the log-sum inequality), asserting that the relative…

Information Theory · Computer Science 2009-03-29 Neri Merhav

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…

Statistical Mechanics · Physics 2018-03-14 Hyun-Myung Chun , Jae Dong Noh

We extend the principles of information thermodynamics to study energy and information exchanges between coupled systems composed of one part undergoing a Markov jump process and another underdamped diffusion. We derive integral fluctuation…

Statistical Mechanics · Physics 2024-12-05 Ashwin Gopal , Nahuel Freitas , Massimiliano Esposito

We introduce a numerical method to sample the distributions of charge, heat, and entropy production in open quantum systems coupled strongly to macroscopic reservoirs, with both temporal and energy resolution and beyond the linear-response…

Fundamental limits on the controllability of physical systems are discussed in the light of information theory. It is shown that the second law of thermodynamics, when generalized to include information, sets absolute limits to the minimum…

chao-dyn · Physics 2007-05-23 Hugo Touchette , Seth Lloyd

Thermodynamics and information have intricate inter-relations. The justification of the fact that information is physical, is done by inter-linking information and thermodynamics - through Landauer's principle. This modern approach towards…

Quantum Physics · Physics 2018-05-29 Manabendra Nath Bera , Andreas Winter , Maciej Lewenstein
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