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Fluctuation theorems, which have been developed over the past 15 years, have resulted in fundamental breakthroughs in our understanding of how irreversibility emerges from reversible dynamics, and have provided new statistical mechanical…

统计力学 · 物理学 2015-05-13 E. M. Sevick , R. Prabhakar , Stephen R. Williams , Debra J. Searles

Non-equilibrium fluctuation theorems (NFTs) relate work performed on a system as its Hamiltonian varies with time, to equilibrium data of the initial and final states. In a classical context the system energy can be directly measured, while…

统计力学 · 物理学 2024-09-30 Cheolhee Han , Doron Cohen , Eran Sela

We consider a general d-dimensional quantum system of non-interacting particles, with suitable statistics, in a very large (formally infinite) container. We prove that, in equilibrium, the fluctuations in the density of particles in a…

数学物理 · 物理学 2007-05-23 Joel L. Lebowitz , Marco Lenci , Herbert Spohn

In the context of the dynamical evolution in a non-stationary thermal bath, we construct a family of fluctuation relations for the entropy production that are not verified by the work performed on the system. We exhibit fluctuation…

统计力学 · 物理学 2013-05-29 Raphael Chetrite

We study the energy current and its fluctuations in quantum gapless 1d systems far from equilibrium modeled by conformal field theory, where two separated halves are prepared at distinct temperatures and glued together at a point contact.…

强关联电子 · 物理学 2012-08-29 Denis Bernard , Benjamin Doyon

The non-equilibrium fluctuations of power flux in a fluidized granular media have been recently measured in an experiment [Phys. Rev. Lett. 92, 164301, 2004], which was announced to be a verification of the Fluctuation Relation (FR) by…

统计力学 · 物理学 2007-05-23 A. Puglisi , P. Visco , A. Barrat , E. Trizac , F. van Wijland

We establish a novel generalization of the fluctuation theorem for partially-masked nonequilibrium dynamics. We introduce a partial entropy production with a subset of all possible transitions, and show that the partial entropy production…

统计力学 · 物理学 2015-01-20 Naoto Shiraishi , Takahiro Sagawa

We continue the investigation, started in [J. Stat. Phys. 166, 926-1015 (2017)], of a network of harmonic oscillators driven out of thermal equilibrium by heat reservoirs. We study the statistics of the fluctuations of the heat fluxes…

数学物理 · 物理学 2020-08-07 Mondher Damak , Mayssa Hammami , Claude-Alain Pillet

We investigate thermodynamics of general nonequilibrium processes stopped at stochastic times. We propose a systematic strategy for constructing fluctuation-theorem-like martingales for each thermodynamic functional, yielding a family of…

统计力学 · 物理学 2023-06-02 Haoran Yang , Hao Ge

We re-derive the Nyquist theorem and Callen-Welton fluctuation-dissipation theorem (FDT) as a consequence of detailed balance principle applied to a harmonic oscillator. The usage of electrical notions in the beginning makes the…

统计力学 · 物理学 2020-10-29 T. M. Mishonov , I. M. Dimitrova , A. M. Varonov

We describe some general results that constrain the dynamical fluctuations that can occur in non-equilibrium steady states, with a focus on molecular dynamics. That is, we consider Hamiltonian systems, coupled to external heat baths, and…

统计力学 · 物理学 2017-11-22 Robert L. Jack , Marcus Kaiser , Johannes Zimmer

Complex systems such as glasses, gels, granular materials, and systems far from equilibrium exhibit violation of the ergodic hypothesis (EH) and of the fluctuation-dissipation theorem (FDT). Recent investigations in systems with memory have…

无序系统与神经网络 · 物理学 2007-05-23 M. H. Vainstein , I. V. L. Costa , F. A. Oliveira

The violation of the Fluctuation-Dissipation Theorem (FDT) in a two-dimensional Ising model with both ferromagnetic exchange and antiferromagnetic dipolar interactions is established and investigated via Monte Carlo simulations. Through the…

无序系统与神经网络 · 物理学 2009-10-31 Daniel A. Stariolo , Sergio A. Cannas

This paper establishes a far-reaching connection between the Finite-Difference Time-Domain method (FDTD) and the theory of dissipative systems. The FDTD equations for a rectangular region are written as a dynamical system having the…

计算工程、金融与科学 · 计算机科学 2017-04-05 Fadime Bekmambetova , Xinyue Zhang , Piero Triverio

The validity of the Fluctuation Relations (FR) for systems in a constant magnetic field is investigated. Recently introduced time-reversal symmetries that hold in presence of static electric and magnetic fields and of deterministic…

统计力学 · 物理学 2020-09-16 Alessandro Coretti , Lamberto Rondoni , Sara Bonella

Experiments on the direction-resolved full-counting statistics of single-electron tunneling allow testing the fundamentally important Fluctuation Theorem (FT). At the same time, the FT provides a frame for analyzing such data. Here we…

介观与纳米尺度物理 · 物理学 2009-12-01 Y. Utsumi , D. S. Golubev , M. Marthaler , T. Fujisawa , Gerd Schön

When two isolated system are brought in contact, they relax to equilibrium via energy exchange. In another setting, when one of the systems is driven and the other is large, the first system reaches a steady-state which is not described by…

统计力学 · 物理学 2015-09-10 Guy Bunin , Yariv Kafri

We have analyzed the spectral density of fluctuations of the energy flux through a mesoscopic constriction between two equilibrium reservoirs. It is shown that at finite frequencies, the fluctuating energy flux is not related to the thermal…

介观与纳米尺度物理 · 物理学 2015-05-18 Dmitri V. Averin , Jukka P. Pekola

Quantum analogues of the transient fluctuation theorem(TFT) and steady-state fluctuation theorem(SSFT) are investigated for a harmonic oscillator linearly coupled with a harmonic reservoir. The probability distribution for the work done…

统计力学 · 物理学 2007-05-23 T. Monnai , S. Tasaki

The fluctuation-dissipation theorem (FDT) plays a fundamental role in understanding quantum many-body problems. However, its applicability is limited to equilibrium systems and it does in general not hold in nonequilibrium situations. This…

强关联电子 · 物理学 2010-03-22 D. Lobaskin , S. Kehrein