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When reformulated as a resource theory, thermodynamics can analyze system behaviors in the single-shot regime. In this, the work required to implement state transitions is bounded by {\alpha}-Renyi divergences and so differs in identifying…

Quantum Physics · Physics 2024-06-25 Jinghao Lyu , Alexander B. Boyd , James P. Crutchfield

Despite the wide usage of information as a concept in science, we have yet to develop a clear & concise scientific definition. This paper is aimed at laying the foundations for a new theory concerning the mechanics of information alongside…

General Physics · Physics 2017-07-13 Kiyam Lin , SongLing Lin

This paper describes an entropy equation, but one that should be used for measuring energy and not information. In relation to the human brain therefore, both of these quantities can be used to represent the stored information. The human…

Artificial Intelligence · Computer Science 2020-08-12 Kieran Greer

We formulate the work output and efficiency for linear irreversible heat engines working between a finite-sized hot heat source and an infinite-sized cold heat reservoir until the total system reaches the final thermal equilibrium state…

Statistical Mechanics · Physics 2015-06-17 Yuki Izumida , Koji Okuda

We theoretically study the entropy production and the work extracted from a system connected to two reservoirs by periodic modulations of the electrochemical potentials of the reservoirs and the parameter of a system Hamiltonian under…

Statistical Mechanics · Physics 2023-07-18 Ryosuke Yoshii , Hisao Hayakawa

The optimal efficiency of quantum (or classical) heat engines whose heat baths are $n$-particle systems is given by the information geometry and the strong large deviation. We give the optimal work extraction process as a concrete…

Quantum Physics · Physics 2017-07-19 Hiroyasu Tajima , Masahito Hayashi

We analyze a mesoscopic conductor autonomously performing a thermodynamically useful task, such as cooling or producing electrical power, in a part of the system -- the working substance -- by exploiting another terminal or set of terminals…

Mesoscale and Nanoscale Physics · Physics 2024-02-09 Matteo Acciai , Ludovico Tesser , Jakob Eriksson , Rafael Sánchez , Robert S. Whitney , Janine Splettstoesser

By decoupling forward and backward stochastic trajectories, we construct a family of martingales and work theorems for both overdamped and underdamped Langevin dynamics. Our results are made possible by an alternative derivation of work…

Statistical Mechanics · Physics 2025-04-17 Xiangting Li , Tom Chou

The relation between the theory of entanglement and thermodynamics is very tight: a thermodynamic theory of quantum entanglement, as well as the establishment of rigorous formal connections between the laws of thermodynamics and the…

Work and quantum correlations are two fundamental resources in thermodynamics and quantum information theory. In this work we study how to use correlations among quantum systems to optimally store work. We analyse this question for isolated…

Characterizing the efficiency of movements is important for a better management of the cities. More specifically, the connection between the efficiency and uncertainty (entropy) production of a transport process is not established yet. In…

Physics and Society · Physics 2021-05-13 Indaco Biazzo , Mohsen Ghasemi Nezhadhaghighi , Abolfazl Ramezanpour

Entropy might be a not well defined concept if the system can undergo transformations involving stationary nonequilibria. It might be analogous to the heat content (once called ``caloric'') in transformations that are not isochoric (i.e.…

Statistical Mechanics · Physics 2007-05-23 Giovanni Gallavotti

Information processing typically occurs via the composition of modular units, such as universal logic gates. The benefit of modular information processing, in contrast to globally integrated information processing, is that complex global…

Statistical Mechanics · Physics 2018-08-08 Alexander B. Boyd , Dibyendu Mandal , James P. Crutchfield

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

When an open system is contacted with several thermal baths, the entropy produced by the irreversible processes ($dS_{\mathrm{i}}=dS-\sum_{\alpha}\text{\dj}Q_{\alpha}/T_{\alpha}$) keeps increasing, and this entropy production rate is always…

Quantum Physics · Physics 2017-07-24 Sheng-Wen Li

Reservoir computing systems are constructed using a driven dynamical system in which external inputs can alter the evolving states of a system. These paradigms are used in information processing, machine learning, and computation. A…

Neural and Evolutionary Computing · Computer Science 2023-04-26 G Manjunath , Juan-Pablo Ortega

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

Systems driven away from thermal equilibrium constantly deliver entropy to their environment. Determining this entropy production requires detailed information about the system's internal states and dynamics. However, in most practical…

Statistical Mechanics · Physics 2017-10-03 Gili Bisker , Matteo Polettini , Todd R. Gingrich , Jordan M. Horowitz

A finite cycle time information engine based on a two-level system in contact with a thermal reservoir is studied analytically. The model for the engine incorporates an error in measuring the system's state and time delay between the…

Statistical Mechanics · Physics 2024-05-13 Kiran V , Toby Joseph

Maxwell refrigerator as a device that can transfer heat from a cold to hot temperature reservoir making use of information reservoir was introduced by Mandal et al. \cite{Mandal2013a}. The model has a two state demon and a bit stream…

Statistical Mechanics · Physics 2021-02-24 Toby Joseph , Kiran V
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