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相关论文: The Fluctuation Theorem for Stochastic Systems

200 篇论文

We present a simple derivation of the integral fluctuation theorems for excess housekeeping heat for an underdamped Langevin system, without using the concept of dual dynamics. In conformity with the earlier results, we find that the…

统计力学 · 物理学 2016-01-07 Sourabh Lahiri , A. M. Jayannavar

We study how Thomson's formulation of the second law: no work is extracted from an equilibrium ensemble by a cyclic process, emerges in the quantum situation through the averaging over fluctuations of work. The latter concept is carefully…

统计力学 · 物理学 2007-05-23 A. E. Allahverdyan , Th. M. Nieuwenhuizen

Any decomposition of the total trajectory entropy production for Markovian systems has a joint probability distribution satisfying a generalized detailed fluctuation theorem, when all the contributing terms are odd with respect to time…

统计力学 · 物理学 2010-10-26 Reinaldo Garcia-Garcia , Daniel Dominguez , Vivien Lecomte , Alejandro B. Kolton

The process of fluctuations of trajectory observables of stochastic systems is related to processes with independent increments from the risk theory. The first-passage times of variables of the thermodynamics of trajectories, in particular,…

统计力学 · 物理学 2025-06-17 V. V. Ryazanov

Generalizing a recent work [T. Taniguchi and E. G. D. Cohen, J. Stat. Phys. 126, 1 (2006)] that was based on the Onsager-Machlup theory, a nonlinear relaxation process is considered for a macroscopic thermodynamic quantity. It is found that…

统计力学 · 物理学 2009-11-13 Yuki Sughiyama , Sumiyoshi Abe

Without violating causality, we allow performing measurements in time reverse process of a feedback manipulated stochastic system. As a result we come across an entropy production due to the measurement process. This entropy production, in…

统计力学 · 物理学 2015-06-17 A. Kundu

The statistical mechanical basis of the fluctuation theory of mixtures is reviewed. An overview of the statistical mechanical relations between the microscopic properties of a system and its macroscopic properties is presented. The…

统计力学 · 物理学 2018-11-20 G. Ali Mansoori , Enrico Matteoli

In addition to providing general constraints on probability distributions, fluctuation theorems allow to infer essential information on the role played by temperature in heat exchange phenomena. In this numerical study, we measure the…

统计力学 · 物理学 2024-12-11 Massimiliano Semeraro , Antonio Suma , Giuseppe Negro

Thermal fluctuations are a fundamental feature of dissipative systems that are essential for understanding physics near the expected critical point of QCD and in small systems. When such fluctuations are modeled naively in relativistic…

核理论 · 物理学 2025-10-02 Nicki Mullins , Mauricio Hippert , Jorge Noronha

The fluctuation-dissipation theorem is a fundamental result in statistical physics that establishes a connection between the response of a system subject to a perturbation and the fluctuations associated with observables in equilibrium.…

量子物理 · 物理学 2022-08-03 Tanmoy Biswas , A. de Oliveira Junior , Michał Horodecki , Kamil Korzekwa

The concept of work is basic for statistical thermodynamics. To gain a fuller understanding of work and its (quantum) features, it needs to be represented as an average of a fluctuating quantity. Here I focus on the work done between two…

统计力学 · 物理学 2015-06-19 A. E. Allahverdyan

A thermodynamic-like formalism is developed for superstatistical systems based on conditional entropies. This theory takes into account large-scale variations of intensive variables of systems in nonequilibrium stationary states. Ordinary…

统计力学 · 物理学 2009-11-13 Sumiyoshi Abe , Christian Beck , E. G. D. Cohen

The total entropy production of stochastic systems can be divided into three quantities. The first corresponds to the excess heat, whilst the second two comprise the house-keeping heat. We denote these two components the transient and…

统计力学 · 物理学 2015-06-03 Richard E. Spinney , Ian J. Ford

We introduce a framework to identify Fluctuation Relations for vector-valued observables in physical systems evolving through a stochastic dynamics. These relations arise from the particular structure of a suitable entropic functional and…

统计力学 · 物理学 2025-10-22 Raphael Chetrite , Stefano Marcantoni

Fluctuation theorem is one of the major achievements in the field of nonequilibrium statistical mechanics during the past two decades. Steady-state fluctuation theorem of sample entropy production rate in terms of large deviation principle…

概率论 · 数学 2016-08-24 Yong Chen , Hao Ge , Jie Xiong , Lihu Xu

The influence of dissipation on the fluctuation statistics of the total energy is investigated through both a phenomenological and a stochastic model for dissipative energy-transfer through a cascade of states. In equilibrium the states…

统计力学 · 物理学 2013-06-27 Eric Bertin , Peter C. W. Holdsworth

The fluctuation theorem of the Crooks type is studied for thermodynamic nonlinear- multivariate systems. In particular, a bivariate system having a limit cycle is discussed in detail. It is explicitly shown how the time reversal operation…

统计力学 · 物理学 2014-02-27 Yasuyuki Matsuo

The principle of covariance, a cornerstone of modern physics, asserts the equivalence of all inertial frames of reference. Fluctuation theorems, as extensions of the second law of thermodynamics, establish universal connections between…

统计力学 · 物理学 2025-06-18 Ji-Hui Pei , Jin-Fu Chen , H. T. Quan

The thermodynamic uncertainty relation (TUR) provides a universal entropic bound for the precision of the fluctuation of the charge transfer for example for a class of continuous time stochastic processes. However, its extension to general…

统计力学 · 物理学 2022-04-20 Takaaki Monnai

Nonequilibrium systems exchange the energy with an environment in the form of work and heat. The work done on a system obeys the fluctuation theorem, while the dissipated heat which differs from the work by the internal energy change does…

统计力学 · 物理学 2014-02-04 Jae Dong Noh