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相关论文: Another Look at the Physics of Large Deviations Wi…

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In this paper we address the problem of systems under an external feedback. This is performed using a large deviation approach and rate distortion from information theory. In particular we define a lower boundary for the maximum entropy…

统计力学 · 物理学 2016-04-18 Alessio Gagliardi , Alessandro Pecchia , Aldo Di Carlo

Information thermodynamics provides a framework for studying the effect of feedback loops on entropy production. It has enabled the understanding of novel thermodynamic systems such as the information engine which can be seen as a modern…

统计力学 · 物理学 2015-12-02 Michael Maitland , Stefan Grosskinsky , Rosemary J. Harris

A large deviation function mathematically characterizes the statistical property of atypical events. Recently, in non-equilibrium statistical mechanics, large deviation functions have been used to describe universal laws such as the…

统计力学 · 物理学 2012-04-26 Shin-ichi Sasa

The purpose of this paper is to point out a new connection between information theory and dynamical systems. In the information theory side, we consider rate distortion theory, which studies lossy data compression of stochastic processes…

动力系统 · 数学 2017-02-21 Elon Lindenstrauss , Masaki Tsukamoto

An identity between two versions of the Chernoff bound on the probability a certain large deviations event, is established. This identity has an interpretation in statistical physics, namely, an isothermal equilibrium of a composite system…

信息论 · 计算机科学 2007-07-13 Neri Merhav

Thermal rectification which is a diode-like behavior of heat flux has been studied over a long time. However, a universal and systematic physical description is still lacking. In this letter, a perturbation theory of thermal rectification…

介观与纳米尺度物理 · 物理学 2020-10-14 Chuang Zhang , Meng An , Zhaoli Guo , Songze Chen

We discuss research done in two important areas of nonequilibrium statistical mechanics: fluctuation dissipation relations and dynamical fluctuations. In equilibrium systems the fluctuation-dissipation theorem gives a simple relation…

统计力学 · 物理学 2010-11-19 Bram Wynants

We study temporally persistent and spatially extended extreme events of temperature anomalies, i.e. heat waves and cold spells, using large deviation theory. To this end, we consider a simplified yet Earth-like general circulation model of…

统计力学 · 物理学 2019-05-22 Vera Melinda Galfi , Valerio Lucarini , Jeroen Wouters

Large deviation theory (LDT) provides a mathematical framework to quantify the probabilities of rare events in stochastic systems. In this study, we applied LDT to model a chemical reaction system and demonstrated that the fluctuation…

化学物理 · 物理学 2025-01-22 Tatsuaki Tsuruyama

The theory of large deviations has been applied successfully in the last 30 years or so to study the properties of equilibrium systems and to put the foundations of equilibrium statistical mechanics on a clearer and more rigorous footing. A…

统计力学 · 物理学 2018-09-14 Hugo Touchette , Rosemary J. Harris

A generalized fluctuation-response relation is found for thermal systems driven out of equilibrium. Its derivation is independent of many details of the dynamics, which is only required to be first-order. The result gives a correction to…

统计力学 · 物理学 2009-07-12 Marco Baiesi , Christian Maes , Bram Wynants

We continue the investigation, started in [J. Stat. Phys. 166, 926-1015 (2017)], of a network of harmonic oscillators driven out of thermal equilibrium by heat reservoirs. We study the statistics of the fluctuations of the heat fluxes…

数学物理 · 物理学 2020-08-07 Mondher Damak , Mayssa Hammami , Claude-Alain Pillet

In some rate-distortion-type problems, the required fidelity of information is affected by past actions. As a result, the distortion function depends not only on the instantaneous distortion between a source symbol and its representation…

信息论 · 计算机科学 2026-01-30 Hamidreza Abin , Amin Gohari , Andrew W. Eckford

Boltzmann-Sanov and Cramer-Chernoff's theorems provide large deviation probabilities, entropy, and rate functions for the spatial distribution of systems and the total internal energy of an ensemble respectively. By the method of Lagrange's…

统计力学 · 物理学 2021-09-17 D. P. Shinde

Complex systems can convert energy imparted by nonequilibrium forces to regulate how quickly they transition between long lived states. While such behavior is ubiquitous in natural and synthetic systems, currently there is no general…

统计力学 · 物理学 2021-04-28 Benjamin Kuznets-Speck , David T. Limmer

The theory of large deviations is concerned with the exponential decay of probabilities of large fluctuations in random systems. These probabilities are important in many fields of study, including statistics, finance, and engineering, as…

统计力学 · 物理学 2009-08-20 Hugo Touchette

Information is instrumental in our understanding of thermodynamics. Their interplay has been studied through completely degenerate Hamiltonians whereby the informational contributions to thermodynamic transformations can be isolated. In…

量子物理 · 物理学 2024-04-10 Benjamin Stratton , Chung-Yun Hsieh , Paul Skrzypczyk

Our recent theoretical developments related to the nonrelativistic and relativistic fluctuation-electromagnetic interactions of bodies with different temperatures moving translationally and (or) rotationally relative to each other are…

介观与纳米尺度物理 · 物理学 2020-02-11 George Dedkov , Arthur Kyasov

Deviations from thermal distribution functions of produced particles in relativistic heavy-ion collisions are discussed as indicators for nonequilibrium processes. The focus is on rapidity distributions of produced charged hadrons as…

高能物理 - 唯象学 · 物理学 2016-08-18 Georg Wolschin

We study large deviations of a ratio observable in discrete-time reset processes. The ratio takes the form of a current divided by the number of reset steps and as such it is not extensive in time. A large deviation rate function can be…

统计力学 · 物理学 2020-04-21 Francesco Coghi , Rosemary J. Harris
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