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Fluctuations in conjugate thermodynamic variables are studied using the cross-correlation function. A new procedure is given enabling the derivation of fluctuation formulas for a system in equilibrium. Specifically, the cross-correlation…

统计力学 · 物理学 2024-07-03 Jean-Luc Garden

The fluctuation theorem characterizes the distribution of the dissipation in nonequilibrium systems and proves that the average dissipation will be positive. For a large system with no external source of fluctuation, fluctuations in…

统计力学 · 物理学 2018-12-18 Guillaume Michel , Debra J. Searles

We establish the general framework of quantum fluctuation theorems by finding the symmetry between the forward and backward transitions of any given quantum channel. The Petz recovery map is adopted as the reverse quantum channel, and the…

量子物理 · 物理学 2019-08-23 Hyukjoon Kwon , M. S. Kim

We demonstrate that the Gibbs-Shannon entropy is applicable to non-equilibrium systems of any size and boundary conditions. The change in microscopic entropy can be attributed to the stochastic nature of dynamic processes and to the…

统计力学 · 物理学 2020-10-13 Jianzhong Wu

To reveal how nonequilibrium physics and relativity theory intertwine, this articles studies relativistic Brownian motion under cosmic expansion. Two fluctuation theorems for the entropy ds, which is locally produced in this extreme…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Axel Fingerle

The detailed fluctuation theorem (DFT) is a statement about the asymmetry in the statistics of the entropy production. Consequences of the DFT are the second law of thermodynamics and the thermodynamics uncertainty relation (TUR), which…

统计力学 · 物理学 2022-10-19 Domingos S. P. Salazar

We derive a general fluctuation theorem for quantum maps. The theorem applies to a broad class of quantum dynamics, such as unitary evolution, decoherence, thermalization, and other types of evolution for quantum open systems. The theorem…

量子物理 · 物理学 2015-10-01 Gonzalo Manzano , Jordan M. Horowitz , Juan M. R. Parrondo

We derive a general quantum exchange fluctuation theorem for multipartite systems with arbitrary coupling strengths by taking into account the informational contribution of the back-action of the quantum measurements, which contributes to…

量子物理 · 物理学 2023-07-18 Akira Sone , Diogo O. Soares-Pinto , Sebastian Deffner

Recently, there has been a considerable progress on the issue of the thermodynamic second law, which is known as the law of entropy increase or irreversibility. In particular, a novel symmetry known as the Gallavotti-Cohen symmetry is found…

统计力学 · 物理学 2018-08-01 Hyunggyu Park

We study experimentally the thermal fluctuations of energy input and dissipation in a harmonic oscillator driven out of equilibrium, and search for Fluctuation Relations. We study transient evolution from the equilibrium state, together…

统计力学 · 物理学 2007-11-28 Sylvain Joubaud , Nicolas Garnier , Sergio Ciliberto

A fluctuation theorem is proved for the macroscopic currents of a system in a nonequilibrium steady state, by using Schnakenberg network theory. The theorem can be applied, in particular, in reaction systems where the affinities or…

统计力学 · 物理学 2015-06-25 David Andrieux , Pierre Gaspard

Small systems in contact with a heat bath evolve by stochastic dynamics. Here we show that, when one such small system is weakly coupled to another one, it is possible to infer the presence of such weak coupling by observing the violation…

统计力学 · 物理学 2016-11-07 Deepak Gupta , Sanjib Sabhapandit

The exchange fluctuation theorem for heat exchanged between two systems at different temperatures, when kept in direct contact, has been investigated by C. Jarzynski and D. K. W\'ojcik, in Phys. Rev. Lett. {\bf 92}, 230602 (2004). We extend…

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

It is shown that quantum fluctuation theorems remain unaffected if measurements of any kind and number of observables are performed during the action of a force protocol. That is, although the backward and forward probabilities entering the…

统计力学 · 物理学 2010-09-29 Michele Campisi , Peter Talkner , Peter Hänggi

We examine classical, transient fluctuation theorems within the unifying framework of Langevin dynamics. We explicitly distinguish between the effects of non-conservative forces that violate detailed balance, and non-autonomous dynamics…

统计力学 · 物理学 2009-11-11 Vladimir Y. Chernyak , Michael Chertkov , Christopher Jarzynski

When the complete understanding of a complex system is not available, as, e.g., for systems considered in the real-world, we need a top-down approach to complexity. In this approach one may start with the desire to understand general…

统计力学 · 物理学 2019-05-22 Joachim Peinke , Mohammad Reza Rahimi Tabar , Matthias Wächter

Turbulent flows are out-of-equilibrium because the energy supply at large scales and its dissipation by viscosity at small scales create a net transfer of energy among all scales. Here, the energy cascade is approximated by a combined…

流体动力学 · 物理学 2021-01-11 Amilcare Porporato , Milad Hooshyar , Andrew D Bragg , Gabriel Katul

Based on the observation that the thermodynamic equilibrium free energy of an open quantum system in contact with a thermal environment can be understood as the difference between the free energy of the total system and that of the bare…

统计力学 · 物理学 2009-06-01 Michele Campisi , Peter Talkner , Peter Hänggi

We elucidate the connection between various fluctuation theorems by a microcanonical version of the Crooks relation. We derive the microscopically exact expression for the work distribution in an idealized Joule experiment, namely for an…

统计力学 · 物理学 2007-05-23 B. Cleuren , C. Van den Broeck , R. Kawai

In the general process of eliminating dynamic variables in Markovian models, there exists a difference in the irreversible entropy production between the original and reduced dynamics. We call this difference the hidden entropy production,…

统计力学 · 物理学 2022-06-28 Kyogo Kawaguchi , Yohei Nakayama