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An ensemble of trajectories with dynamical activity and first-passage time (FPT) is considered in the context of the thermodynamics of trajectories. The relationship between the average FPT and the total change in entropy is determined,…

Statistical Mechanics · Physics 2024-12-10 V. V. Ryazanov

In recent years we have witnessed a concentrated effort to make sense of thermodynamics for small-scale systems. One of the main difficulties is to capture a suitable notion of work that models realistically the purpose of quantum machines,…

Quantum Physics · Physics 2016-11-23 R. Gallego , J. Eisert , H. Wilming

The excess work required to drive a stochastic system out of thermodynamic equilibrium through a time-dependent external perturbation is directly related to the amount of entropy produced during the driving process, allowing excess work and…

Statistical Mechanics · Physics 2021-03-15 Steven J Large , Jannik Ehrich , David A Sivak

The nonequilibrium thermodynamics feature of a Brownian motor is investigated by obtaining exact time-dependent solutions. This in turn enables us to investigate not only the long time property (steady-state) but also the short time the…

Statistical Mechanics · Physics 2022-05-23 Mesfin Taye

Living systems operate far from thermal equilibrium by converting the chemical potential of ATP into mechanical work to achieve growth, replication or locomotion. Given time series observations of intra-, inter- or multicellular processes,…

Biological Physics · Physics 2021-11-03 Dominic J. Skinner , Jörn Dunkel

A first principles analysis of an open system thermodynamical Carnot cycle is provided, and the results are compared to those proposed by Gibbs for open systems. The Kelvin-Clausius statement concerning heat transfer for reversible cycles…

General Mathematics · Mathematics 2007-05-23 Christopher G. Jesudason

Thermal management is a key challenge, both globally and microscopically in integrated circuits and quantum technologies. The associated heat flow $I_Q$ has been understood since the advent of thermodynamics by a process of elimination,…

Active matter is rapidly becoming a key paradigm of out-of-equilibrium soft matter exhibiting complex collective phenomena, yet the thermodynamics of such systems remain poorly understood. In this letter we study the nonequilbrium…

Statistical Mechanics · Physics 2019-10-30 Emanuele Crosato , Mikhail Prokopenko , Richard E. Spinney

Entropy production for a system not in the thermodynamic limit is formulated using Hill's nanothermodynamics, in which a macroscopic ensemble of such systems is considered. External influence of the environment on the average nanosystem is…

Statistical Mechanics · Physics 2011-03-21 J. Carrete , L. M. Varela , L. J. Gallego

The nonadiabatic entropy production is a useful tool for the thermodynamic analysis of continuously dissipating, nonequilibrium steady states. For open quantum systems, two seemingly distinct definitions for the nonadiabatic entropy…

Quantum Physics · Physics 2015-06-19 Jordan M. Horowitz , Takahiro Sagawa

The concept of entropy has been pivotal in the formulation of thermodynamics. For systems driven away from thermal equilibrium, a comparable role is played by entropy production and dissipation. Here we provide a comprehensive picture how…

Soft Condensed Matter · Physics 2025-05-15 Robin Bebon , Joshua F. Robinson , Thomas Speck

This study establishes a universal mechanism for entropy production in isolated quantum systems governed by interactions that induce random-phase fluctuations. By developing a resolvent-based framework, we demonstrate that steady-state…

Quantum Physics · Physics 2026-01-16 Zhiqiang Huang , Qing-yu Cai

Free energy and entropy are examined in detail from the standpoint of classical thermodynamics. The approach is logically based on the fact that thermodynamic work is mediated by thermal energy through the tendency for nonthermal energy to…

Physics Education · Physics 2015-06-26 Clinton D. Stoner

The classical Second Law of Thermodynamics demands that an isolated system evolves with a non-diminishing entropy. This holds as well in quantum mechanics if the evolution of the energy-isolated system can be described by a unital quantum…

Quantum Physics · Physics 2018-05-01 N. S. Kirsanov , A. V. Lebedev , M. V. Suslov , V. M. Vinokur , G. Blatter , G. B. Lesovik

Considering a general microscopic model for a quantum measuring apparatus comprising a quantum probe coupled to a thermal bath, we analyze the energetic resources necessary for the realization of a quantum measurement, which includes the…

Quantum Physics · Physics 2025-01-29 Camille L Latune , Cyril Elouard

In thermodynamics, entropy production and work quantify irreversibility and the consumption of useful energy, respectively, when a system is driven out of equilibrium. For quantum systems, these quantities can be identified at the…

Why can the world resist the law of entropy increase and produce self-organizing structure? Does the entropy of an isolated system always only increase and never decrease? Can be thermodymamic degradation and self-organizing evolution…

Statistical Mechanics · Physics 2007-10-26 Xiu-San Xing

We provide a quantum statistical basis for (a)a characterisation of a complete set of thermodynamic variables and (b) the differentiability of the entropy function of these variables

Mathematical Physics · Physics 2019-03-27 Geoffrey L. Sewell

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

We extend the canonical Gibbs distribution, originally formulated for systems at equilibrium, to systems driven out of equilibrium. The stochastic dynamics of a small system are described by a probability distribution over discrete energy…

Statistical Mechanics · Physics 2026-03-31 Jean-Luc Garden