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Fluctuation theorems are fundamental results in non-equilibrium thermodynamics. Considering the fluctuation theorem with respect to the entropy production and an observable, we derive a new thermodynamic uncertainty relation which also…

统计力学 · 物理学 2022-02-02 Gianluca Francica

In the last ten years, a number of ``Conventional Fluctuation Theorems'' have been derived for systems with deterministic or stochastic dynamics, in a transient or in a non-equilibrium stationary state. These theorems gave explicit…

统计力学 · 物理学 2007-05-23 R. van Zon , E. G. D. Cohen

Heat fluctuations are studied in a dissipative system with both mechanical and stochastic components for a simple model: a Brownian particle dragged through water by a moving potential. An extended stationary state fluctuation theorem is…

统计力学 · 物理学 2007-05-23 R. van Zon , E. G. D. Cohen

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

We show that the total entropy production in stochastic processes with odd-parity variables (under time reversal) is separated into three parts, only two of which satisfy the integral fluctuation theorems in general. One is the usual excess…

统计力学 · 物理学 2015-06-11 Hyun Keun Lee , Chulan Kwon , Hyunggyu Park

This book provides a modern review of Fluctuation Relations and Fluctuation Theorems in nonequilibrium statistical mechanics. It focuses on the pioneering perspectives of Gallavotti and Cohen, according to which a fluctuation theorem…

数学物理 · 物理学 2026-02-13 Noé Cuneo , Vojkan Jakšić , Claude-Alain Pillet , Armen Shirikyan

Fluctuation theorems have a very special place in the study of non equilibrium dynamics of physical systems. The form in which it is used most extensively is the Gallavoti-Cohen Fluctuation Theorem which is in terms of the distribution of…

经典物理 · 物理学 2015-12-01 G. S. Agarwal , Sushanta Dattagupta

Fluctuation theorems are a generalization of thermodynamics on small scales and provide the tools to characterize the fluctuations of thermodynamic quantities in non-equilibrium nanoscale systems. They are particularly important for…

统计力学 · 物理学 2014-04-03 Jan Gieseler , Romain Quidant , Christoph Dellago , Lukas Novotny

Finite heat reservoir capacity and temperature fluctuations lead to modification of the well known canonical exponential weight factor. Requiring that the corrections least depend on the one-particle energy, we derive a deformed entropy,…

统计力学 · 物理学 2016-05-20 T. S. Biro , G. G. Barnafoldi , P. Van

Fluctuation theorems are a class of equalities that express universal properties of the probability distribution of a fluctuating path functional such as heat, work or entropy production over an ensemble of trajectories during a…

统计力学 · 物理学 2019-05-09 Lee Jinwoo

By taking full advantage of the dynamic property imposed by the detailed balance condition, we derive a new refined unified fluctuation theorem (FT) for general stochastic thermodynamic systems. This FT involves the joint probability…

统计力学 · 物理学 2015-07-27 Zongping Gong , H. T. Quan

We study the heat transfer between two finite quantum systems initially at different temperatures. We find that a recently proposed fluctuation theorem for heat exchange, namely the exchange fluctuation theorem [C. Jarzynski and D. K.…

统计力学 · 物理学 2009-07-03 Shiho Akagawa , Naomichi Hatano

This chapter reviews an information theoretic approach to deriving quantum fluctuation theorems. When a thermal system is driven from equilibrium, random quantities of work are required or produced: the Crooks equality is a classical…

量子物理 · 物理学 2019-05-01 Z. Holmes

The fluctuation theorems have remained one of the cornerstones in the study of systems that are driven far out of equilibrium, and they provide strong constraints on the fraction of trajectories that behave atypically in light of the second…

统计力学 · 物理学 2015-06-05 Sourabh Lahiri , A. M. Jayannavar

The Fluctuation Theorem (FT) is a generalisation of the Second Law of Thermodynamics that applies to small systems observed for short times. For thermostatted systems it gives the probability ratio that entropy will be consumed rather than…

统计力学 · 物理学 2015-06-24 Owen Jepps , Denis J. Evans , Debra J. Searles

We consider heat fluctuations and fluctuation theorems for systems driven by multiple reservoirs. We establish a fundamental symmetry obeyed by the joint probability distribution for the heat transfers and system coordinates. The symmetry…

统计力学 · 物理学 2014-10-03 Hans C. Fogedby , Alberto Imparato

The postulational basis of classical thermodynamics has been expanded to incorporate equilibrium fluctuations. The main additional elements of the proposed thermodynamic theory are the concept of quasi-equilibrium states, a definition of…

统计力学 · 物理学 2019-06-11 Y. Mishin

We derive an extended fluctuation theorem for a geometric pumping in a spin-boson system under a periodic control of environmental temperatures by using a Markovian quantum master equation. We perform the Monte-Carlo simulation and obtain…

统计力学 · 物理学 2017-08-16 Kota L. Watanabe , Hisao Hayakawa

We derive the extended fluctuation theorems in presence of multiple measurements and feedback, when the system is governed by Hamiltonian dynamics. We use only the forward phase space trajectories in the derivation. However, to obtain an…

统计力学 · 物理学 2016-04-20 Sourabh Lahiri , A. M. Jayannavar

Fluctuation relations are powerful equalities that hold far from equilibrium. However, the standard approach to include measurement and feedback schemes may become inapplicable in certain situations, including continuous measurements,…

介观与纳米尺度物理 · 物理学 2019-09-05 Patrick P. Potts , Peter Samuelsson