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Heat fluctuations of a harmonic oscillator in contact with a thermostat and driven out of equilibrium by an external deterministic force are studied experimentally and theoretically within the context of Fluctuation Theorems. We consider…

统计力学 · 物理学 2007-05-23 Sylvain Joubaud , Nicolas B. Garnier , Sergio Ciliberto

The intuition that the precision of observables is constrained by thermodynamic costs has recently been formalized through thermodynamic and kinetic uncertainty relations. While such trade-offs have been extensively studied in Markovian…

量子物理 · 物理学 2026-05-13 Tan Van Vu , Ryotaro Honma , Keiji Saito

Stochastic thermodynamics is the field of study relating fluctuations in stochastic systems to thermodynamic quantities. The total entropy production (EP), is central to the thermodynamic classification of systems. Non-equilibrium systems…

统计力学 · 物理学 2025-08-05 Lars Torbjørn Stutzer

We study generalizations of It\^{o}-Langevin dynamics consistent within nonextensive thermostatistics. The corresponding stochastic differential equations are shown to be connected with a wide class of nonlinear Fokker-Planck equations…

统计力学 · 物理学 2022-07-14 Leonardo Santos

We use a relationship between response and correlation function in nonequilibrium systems to establish a connection between the heat production and the deviations from the equilibrium fluctuation-dissipation theorem. This scheme extends the…

统计力学 · 物理学 2014-04-11 E. Lippiello , M. Baiesi , A. Sarracino

We study the time correlation functions of coupled linear Langevin dynamics without and with inertia effects, both analytically and numerically. The model equation represents the physical behavior of a harmonic oscillator in two or three…

计算物理 · 物理学 2020-11-03 Xiaocheng Shang , Martin Kröger

The experimental time scale dependence of thermodynamic relations in out-of-equilibrium systems with aging phenomena is investigated theoretically by using only aging properties of the two-time correlation functions and the generalized…

无序系统与神经网络 · 物理学 2009-10-31 Mitsuhiro Kawasaki

We derive the thermodynamic limit of the empirical correlation and response functions in the Langevin dynamics for spherical mixed $p$-spin disordered mean-field models, starting uniformly within one of the spherical bands on which the…

概率论 · 数学 2020-08-26 Amir Dembo , Eliran Subag

Developing our understanding of how correlations evolve during inflation is crucial if we are to extract information about the early Universe from our late-time observables. To that end, we revisit the time evolution of scalar field…

高能物理 - 理论 · 物理学 2021-02-16 Sebastian Cespedes , Anne-Christine Davis , Scott Melville

We consider general systems that start from and/or end in thermodynamic equilibrium while experiencing a finite rate of change of their energy density or other intensive quantities $q$ at intermediate times. We demonstrate that at these…

量子物理 · 物理学 2021-01-13 Zohar Nussinov

The fluctuation-response relation is a fundamental relation that is applicable to systems near equilibrium. On the other hand, when a system is driven far from equilibrium, this relation is violated in general because the detailed-balance…

统计力学 · 物理学 2009-11-11 Takahiro Harada , Shin-ichi Sasa

It is experimentally well-established that non-equilibrium long-range correlations of concentration fluctuations appear in free diffusion of a solute in a solvent, but it remains unknown how such correlations are established dynamically. We…

统计力学 · 物理学 2026-03-13 Marco Bussoletti , Mirko Gallo , Amir Jafari , Gregory L. Eyink

In this work, we consider a finite-state inhomogeneous-time Markov chain whose probabilities of transition from one state to another tend to decrease over time. This can be seen as a cooling of the dynamics of an underlying Markov chain. We…

概率论 · 数学 2017-05-08 Florian Bouguet , Bertrand Cloez

We review some of the properties of higher-dimensional superstatistical stochastic models. As an example, we analyse the stochastic properties of a superstatistical model of 3-dimensional Lagrangian turbulence, and compare with experimental…

统计力学 · 物理学 2009-11-13 Christian Beck

We develop a theory for fluctuations and correlations in a gas evolving under ballistic annihilation dynamics. Starting from the hierarchy of equations governing the evolution of microscopic densities in phase space, we subsequently…

统计力学 · 物理学 2009-11-13 P. Maynar , M. I. Garcia de Soria , G. Schehr , A. Barrat , E. Trizac

A linearised kinetic equation describing electrostatic perturbations of a Maxwellian equilibrium in a weakly collisional plasma forced by a random source is considered. The problem is treated as a kinetic analogue of the Langevin equation…

等离子体物理 · 物理学 2019-02-20 A. Kanekar , A. A. Schekochihin , W. Dorland , N. F. Loureiro

We study the relative phase fluctuations of two one-dimensional condensates coupled along their whole extension with a local single-atom interaction. The thermal equilibrium is defined by the competition between independent longitudinal…

软凝聚态物质 · 物理学 2010-11-19 Nicholas Whitlock , Isabelle Bouchoule

As recently proposed, the long-time behavior of equilibrium time-correlation functions for one-dimensional systems are expected to be captured by a nonlinear extension of fluctuating hydrodynamics. We outline the predictions from the theory…

统计力学 · 物理学 2014-08-05 Christian B. Mendl , Herbert Spohn

In this work we ask what the self-consistency of a classical hydrodynamic description imposes on a quantum system. The quantum fluctuation-dissipation theorem, when read in the time domain, acts as a blurring of the fine details of the…

统计力学 · 物理学 2026-05-20 Laura Foini , Jorge Kurchan , Silvia Pappalardi

On the basis of the equivalence of the energy balance deacription at micro- and macro-level we propose a quantum generalization of the viscous friction law for a macroscopic Langevin equation describing thermal fluctuations without the zero…

统计力学 · 物理学 2007-05-23 P. Shiktorov , E. Starikov , V. Gruzinskis , L. Reggiani
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