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Related papers: Role of Mutual Information in Entropy Production u…

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Entropy production is a universal measure of irreversibility and energy dissipation in physical, chemical, and biological systems operating far from equilibrium. However, quantifying and spatiotemporally localising it in complex processes…

Statistical Mechanics · Physics 2026-05-18 Biswajit Das , Sreekanth K Manikandan

Making decisions freely presupposes that there is some indeterminacy in the environment and in the decision making engine. The former is reflected on the behavioral changes due to communicating: few changes indicate rigid environments;…

Artificial Intelligence · Computer Science 2020-09-23 Luis A. Pineda

Information thermodynamics relates the rate of change of mutual information between two interacting subsystems to their thermodynamics when the joined system is described by a bipartite stochastic dynamics satisfying local detailed balance.…

Statistical Mechanics · Physics 2022-08-05 Emanuele Penocchio , Francesco Avanzini , Massimiliano Esposito

We discuss the role of information entropy on the behaviour of random processes, and how this might take effect in the dynamics of financial market prices. We then go on to show how the Open Quantum Systems approach can be used as a more…

Mathematical Finance · Quantitative Finance 2024-07-01 Will Hicks

Nonlinear feedbacks in the Earth System provide mechanisms that can prove very useful in understanding complex dynamics with relatively simple concepts. For example, the temperature and the ice cover of the planet are linked in a positive…

Atmospheric and Oceanic Physics · Physics 2015-05-27 Corentin Herbert , Didier Paillard , Bérengère Dubrulle

For a simple model we derive analytic expressions of entropy exchange and coherent information, from which relations between them and the concurrence are drawn. We find that in the quantum evolution the entropy exchange exhibits behavior…

Quantum Physics · Physics 2009-11-13 Yang Xiang , Shi-Jie Xiong

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

Non-equilibrium stochastic dynamics of several active Brownian systems are modeled in terms of non-linear velocity dependent force. In general, this force may consist of both even and odd functions of velocity. We derive the expression for…

Statistical Mechanics · Physics 2016-09-14 Debasish Chaudhuri

We demonstrate that the Gibbs-Shannon entropy is applicable to non-equilibrium systems of any size and boundary conditions. The change in microscopic entropy can be attributed to the stochastic nature of dynamic processes and to the…

Statistical Mechanics · Physics 2020-10-13 Jianzhong Wu

We investigate the total stochastic entropy production of a two-level bosonic open quantum system under protocols of time dependent coupling to a harmonic environment. These processes are intended to represent the measurement of a system…

Quantum Physics · Physics 2023-01-24 D. Matos , L. Kantorovich , I. J. Ford

We prove that statistical information theoretic quantities, such as information entropy, cannot generally be interrelated with the lower limit of energy dissipation during information erasure. We also point out that, in deterministic and…

Emerging Technologies · Computer Science 2016-02-09 Laszlo B. Kish , Claes-G. Granqvist , Sunil P. Khatri , Ferdinand Peper

A ubiquitous way that cells share information is by exchanging molecules. Yet, the fundamental ways that this information exchange is influenced by intracellular dynamics remain unclear. Here we use information theory to investigate a…

Biological Physics · Physics 2020-07-23 Amir Erez , Tommy A. Byrd , Michael Vennettilli , Andrew Mugler

The selection of an equilibrium state by maximising the entropy of a system, subject to certain constraints, is often powerfully motivated as an exercise in logical inference, a procedure where conclusions are reached on the basis of…

Statistical Mechanics · Physics 2015-12-03 Ian J. Ford

Information-theoretic quantities, such as entropy, are used to quantify the amount of information a given variable provides. Entropies can be used together to compute the mutual information, which quantifies the amount of information two…

Data Analysis, Statistics and Probability · Physics 2014-12-22 Kevin H. Knuth , Deniz Gençağa , William B. Rossow

A repeated interaction process assisted by auxiliary thermal systems charges a quantum battery. The charging energy is supplied by switching on and off the interaction between the battery and the thermal systems. The charged state is an…

Quantum Physics · Physics 2022-06-22 Felipe Barra

We formulate theoretical modeling approaches and develop practical computational simulation methods for investigating the non-equilibrium statistical mechanics of fluid interfaces with passive and active immersed particles. Our approaches…

Soft Condensed Matter · Physics 2024-10-03 Dev Jasuja , Paul J. Atzberger

We investigate fundamental connections between thermodynamics and quantum information theory. First, we show that the operational framework of thermal operations is nonequivalent to the framework of Gibbs-preserving maps, and we comment on…

Quantum Physics · Physics 2016-07-13 Philippe Faist

We build a double quantum-dot system with Coulomb coupling and aim at studying the connections among the entropy production, free energy, and information flow. By utilizing the concepts in stochastic thermodynamics and graph theory…

Statistical Mechanics · Physics 2021-09-01 Zhiyuan Lin , Tong Fu , Juying Xiao , Shanhe Su , Jincan Chen , Yanchao Zhang

In these decades, it has been revealed that there is rich information-theoretic structure in thermodynamics of out-of-equilibrium systems in both the classical and quantum regimes. This has led to the fruitful interplay among statistical…

Quantum Physics · Physics 2020-09-29 Takahiro Sagawa

We investigate fundamental limits on the performance of information processing systems from the perspective of information thermodynamics. We first extend the thermodynamic uncertainty relation (TUR) to a subsystem. Specifically, for a…

Statistical Mechanics · Physics 2024-01-04 Tomohiro Tanogami , Tan Van Vu , Keiji Saito