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The structure of very complicated irregular "microscopic" (local) entropy fluctuations around a big separated "macroscopic" (global) fluctuation in the statistical equilibrium was studied in numerical experiments on a simple 2--freedom…

混沌动力学 · 物理学 2007-05-23 Boris Chirikov , Oleg Zhirov

Systems that are driven out of thermal equilibrium typically dissipate random quantities of energy on microscopic scales. Crooks fluctuation theorem relates the distribution of these random work costs with the corresponding distribution for…

量子物理 · 物理学 2018-02-13 Johan Aberg

We prove a transient fluctuation theorem for the currents for continuous-time Markov jump processes with stationary rates, generalizing an asymptotic result by Andrieux and Gaspard [J. Stat. Phys. 127, 107 (2007)] to finite times. The…

统计力学 · 物理学 2014-10-22 Matteo Polettini , Massimiliano Esposito

The work fluctuations of an oscillator in contact with a thermostat and driven out of equilibrium by an external force are studied experimentally and theoretically within the context of Fluctuation Theorems (FTs). The oscillator dynamics is…

We propose a mathematical model to describe the athermal fluctuations of thin sheets driven by the type of random driving that might be experienced prior to weak crumpling. The model is obtained by merging the F\"oppl-von K\'arm\'an…

软凝聚态物质 · 物理学 2022-08-11 Chanania Steinbock , Eytan Katzav , Arezki Boudaoud

We derive the generalized Green-Kubo relation and an integral form of the fluctuation theorem that apply to uniformly sheared granular systems in which microscopic time-reversal symmetry is broken. The former relation provides an exact…

统计力学 · 物理学 2009-06-11 Song-Ho Chong , Michio Otsuki , Hisao Hayakawa

The present study is based on a recent success of the second-order stochastic fluctuation theory in describing time autocorrelations of equilibrium and nonequilibrium physical systems. In particular, it was shown to yield values of the…

统计力学 · 物理学 2017-08-23 Roman Belousov , E. G. D. Cohen , Lamberto Rondoni

We study the dynamics of inertial particles in turbulence using datasets obtained from both direct numerical simulations and laboratory experiments of turbulent swirling flows. By analyzing time series of particle velocity increments at…

The intermittent behavior of solar wind turbulent fluctuations has often been investigated through the modeling of their probability distribution functions (PDFs). Among others, the Castaing model (Castaing et al. 1990) has successfully…

空间物理 · 物理学 2015-07-15 L. Sorriso-Valvo , R. Marino , L. Lijoi , S. Perri , V. Carbone

We discuss fluctuation relations in simple cases of non-equilibrium Langevin dynamics. In particular, we show that close to non-equilibrium steady states with non-vanishing probability currents some of these relations reduce to a modified…

统计力学 · 物理学 2009-11-13 Raphael Chetrite , Gregory Falkovich , Krzysztof Gawedzki

Fluctuation theorems based on time-reversal have provided remarkable insight into the non-equilibrium statistics of thermodynamic quantities like heat, work, and entropy production. These types of laws impose constraints on the…

统计力学 · 物理学 2022-11-30 Max Innerbichler , Andrei Militaru , Martin Frimmer , Lukas Novotny , Christoph Dellago

Recent experimental advances in ultrafast phenomena have triggered renewed interest in the dynamics of correlated quantum systems away from equilibrium. We review nonequilibrium dynamical mean-field theory studies of both the transient and…

强关联电子 · 物理学 2020-05-25 Herbert F. Fotso , James K. Freericks

The energy evolution of a quantum chaotic system under the perturbation that harmonically depends on time is studied for the case of large perturbation, in which the rate of transition calculated from the Fermi golden rule (FGR) is about or…

混沌动力学 · 物理学 2007-05-23 P. V. Elyutin , A. N. Rubtsov

We probe the validity of Crooks' fluctuation relation on the fluctuating lattice-Boltzmann model (FLBM), a highly simplified lattice model for a thermal ideal gas. We drive the system between two thermodynamic equilibrium states and compute…

统计力学 · 物理学 2010-06-30 Léo Granger , Markus Niemann , Holger Kantz

Stochastic thermodynamics is an important development in the direction of finding general thermodynamic principles for non-equilibrium systems. We believe stochastic thermodynamics has the potential to benefit from the measure-theoretic…

统计力学 · 物理学 2023-07-06 Annwesha Dutta , Saikat Sarkar

We derive a general set of fluctuation relations for a nonequilibrium open quantum system described by a Lindblad master equation. In the special case of conservative Hamiltonian dynamics, these identities allow us to retrieve quantum…

统计力学 · 物理学 2010-02-05 Raphael Chetrite , Kirone Mallick

In this paper we address the problem of consistently construct Langevin equations to describe fluctuations in non-linear systems. Detailed balance severely restricts the choice of the random force, but we prove that this property together…

凝聚态物理 · 物理学 2007-05-23 J. Bonet Avalos , I. Pagonabarraga

Using the linearized version of the time dependent Gross-Pitaevskii equation we calculate the dynamic response of a Bose-Einstein condensed gas to periodic density and particle perturbations. The zero temperature limit of the…

量子气体 · 物理学 2019-02-20 Sandro Stringari

We study a hard sphere gas at equilibrium, and prove that in the low density limit, the fluctuations converge to a Gaussian process governed by the fluctuating Boltzmann equation. This result holds for arbitrarily long times. The method of…

偏微分方程分析 · 数学 2022-01-13 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond , Sergio Simonella

We present experiments revealing the competing effect of quantum fluctuations and of a coherent seed in the dynamics of a spin-1 Bose-Einstein condensate, and discuss the relevance of a mean-field description of our system. We first explore…

量子气体 · 物理学 2021-03-10 Bertrand Evrard , An Qu , Jean Dalibard , Fabrice Gerbier