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The first-passage time is proposed as an independent thermodynamic parameter of the statistical distribution that generalizes the Gibbs distribution. The theory does not include the determination of the first passage statistics itself. A…

统计力学 · 物理学 2022-08-22 V. V. Ryazanov

Non-equilibrium fluctuations of various stochastic variables, such as work and entropy production, have been widely discussed recently in the context of large deviations, cumulants and fluctuation relations. Typically, one looks at the…

统计力学 · 物理学 2016-08-03 Keiji Saito , Abhishek Dhar

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

All real physical processes, including of the first-passage time, occur with a change in entropy. This circumstance is not taken into account when studying the first-passage time, but is illustrated in this article using the example of…

统计力学 · 物理学 2024-07-30 V. V. Ryazanov

The problem of estimating entropy production from incomplete information in stochastic thermodynamics is essential for theory and experiments. Whereas a considerable amount of work has been done on this topic, arguably, most of it is…

统计力学 · 物理学 2024-12-17 Pedro E. Harunari , Carlos E. Fiore , Andre C. Barato

The length-scale dependence of the dynamic entropy is studied in a molecular dynamics simulation of a binary Lennard-Jones liquid above the mode-coupling critical temperature $T_c$. A number of methods exist for estimating the entropy of…

软凝聚态物质 · 物理学 2009-10-31 Paolo Allegrini , Jack F. Douglas , Sharon C. Glotzer

With nontrivial entropy production, first passage process is one of the most common nonequilibrium process in stochastic thermodynamics. Using one dimensional birth and death precess as a model framework, approximated expressions of mean…

统计力学 · 物理学 2021-08-04 Yunxin Zhang

The total entropy production generated by the dynamics of an externally driven systems exchanging energy and matter with multiple reservoirs and described by a master equation is expressed as the sum of three contributions, each…

统计力学 · 物理学 2010-03-01 Massimiliano Esposito , Upendra Harbola , Shaul Mukamel

The first passage time (FPT) problem is studied for superstatistical models assuming that the mesoscopic system dynamics is described by a Fokker-Planck equation. We show that all moments of the random intensive parameter associated to the…

统计力学 · 物理学 2018-01-30 Adrián A. Budini , Manuel O. Cáceres

The extension of thermodynamic principles to active matter remains a challenge due to the non-equilibrium nature inherent to active systems. In this study, we introduce a framework to assess entropy in our minimal macroscopic experiment…

软凝聚态物质 · 物理学 2024-09-26 Francesco Romanò , Michael Riedl

The first passage time (FPT) for random walks is a key indicator of how fast information diffuses in a given system. Despite the role of FPT as a fundamental feature in transport phenomena, its behavior, particularly in heterogeneous…

统计力学 · 物理学 2015-06-05 S. Hwang , D. -S. Lee , B. Kahng

The stochastic entropy generated during the evolution of a system interacting with an environment may be separated into three components, but only two of these have a non-negative mean. The third component of entropy production is…

统计力学 · 物理学 2013-05-30 Ian J. Ford , Richard E. Spinney

We study the dynamics of protein folding via statistical energy-landscape theory. In particular, we concentrate on the local-connectivity case with the folding progress described by the fraction of native conformations. We obtain…

软凝聚态物质 · 物理学 2007-05-23 Chi-Lun Lee , Chien-Ting Lin , George Stell , Jin Wang

We study the statistics of first passage times (FPTs) of trajectory observables in both classical and quantum Markov processes. We consider specifically the FPTs of counting observables, that is, the times to reach a certain threshold of a…

统计力学 · 物理学 2024-05-17 George Bakewell-Smith , Federico Girotti , Mădălin Guţă , Juan P. Garrahan

The mean first passage time, one of the important characteristics for a stochastic process, is often calculated assuming the observation time is infinite. However, in practice, the observation time, T, is always finite and the mean first…

统计力学 · 物理学 2020-04-22 Ji-Hyun Kim , Hunki Lee , Sanggeun Song , Hye Ran Koh , Jaeyoung Sung

Non-equilibrium states of a thermodynamic statistical system are investigated using the thermodynamic parameter of the system lifetime, first-passage time, the time before degeneration of the system under influence of fluctuations.…

统计力学 · 物理学 2020-03-19 V. V. Ryazanov

The first passage is a generic concept for quantifying when a random quantity such as the position of a diffusing molecule or the value of a stock crosses a preset threshold (target) for the first time. The last decade saw an enlightening…

统计力学 · 物理学 2016-09-26 Aljaz Godec , Ralf Metzler

Given two distinct subsets $A,B$ in the state space of some dynamical system, Transition Path Theory (TPT) was successfully used to describe the statistical behavior of transitions from $A$ to $B$ in the ergodic limit of the stationary…

动力系统 · 数学 2020-11-03 Luzie Helfmann , Enric Ribera Borrell , Christof Schütte , Péter Koltai

The time until the failure of some node of the system or until the end of some stage of the operation of the tribological system is associated with the change in entropy in the system that occurs during this time. Methods of the…

统计力学 · 物理学 2022-08-23 V. V. Ryazanov

A unified view on macroscopic thermodynamics and quantum transport is presented. Thermodynamic processes with an exchange of energy between two systems necessarily involve the flow of other balanceable quantities. These flows are first…

介观与纳米尺度物理 · 物理学 2012-10-02 C. Strunk
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