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We investigate the relation between two-time, multi-spin, correlation and response functions in the non-equilibrium critical dynamics of Ising models in d=1 and d=2 spatial dimensions. In these non-equilibrium situations, the…

统计力学 · 物理学 2007-05-23 Peter Mayer , Ludovic Berthier , Juan P. Garrahan , Peter Sollich

We investigate the fluctuation dynamics of a probe around a deterministic motion induced by interactions with driven particles. The latter constitute the nonequilibrium medium in which the probe is immersed and is modelled as overdamped…

统计力学 · 物理学 2017-01-03 Christian Maes , Stefano Steffenoni

In this paper, we derive a generalized second fluctuation-dissipation theorem (FDT) for stochastic dynamical systems in the steady state. The established theory is built upon the Mori-type generalized Langevin equation for stochastic…

统计力学 · 物理学 2021-06-15 Yuanran Zhu , Huan Lei , Changho Kim

We consider the Fluctuation Dissipation Theorem (FDT) of statistical physics from a mathematical perspective. We formalize the concept of "linear response function" in the general framework of Markov processes. We show that for processes…

概率论 · 数学 2010-02-17 Amir Dembo , Jean-Dominique Deuschel

Nonergodic Brownian motion is elucidated within the framework of the generalized Langevin equation. For thermal noise yielding either a vanishing or a divergent zero-frequency friction strength, the non-Markovian Browninan dynamics exhibits…

统计力学 · 物理学 2007-05-23 Jing-Dong Bao , Yi-Zhong Zhuo , Fernando A. Oliveira , Peter Hänggi

We introduce functional methods to study the non-equilibrium dynamics of a quantum massless scalar field at finite temperature in a gravitational field. We calculate the Close Time Path (CTP) effective action and, using its formal…

高能物理 - 唯象学 · 物理学 2009-10-31 Antonio Campos , B. L. Hu

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

We use the perturbative renormalization group to study classical stochastic processes with memory. We focus on the generalized Langevin dynamics of the \phi^4 Ginzburg-Landau model with additive noise, the correlations of which are local in…

统计力学 · 物理学 2015-03-19 Julius Bonart , Leticia F. Cugliandolo , Andrea Gambassi

A colloidal particle is a prominent example of a stochastic system, and, if suspended in a simple viscous liquid, very closely resembles the case of an ideal random walker. A variety of new phenomena have been observed when such colloid is…

软凝聚态物质 · 物理学 2020-02-10 Boris Müller , Johannes Berner , Clemens Bechinger , Matthias Krüger

We establish for the first time an exact stochastic dynamical equation for an open quantum systems coupled to correlated noises. We rigorously investigate the nonequilibrium dynamics of a qubit system under the influence of two strongly…

量子物理 · 物理学 2015-02-16 Jun Jing , Rui Li , J. Q. You , Ting Yu

Entanglement fluctuations associated with Schr\"{o}dinger evolution of wavefunctions offer a unique perspective on various fundamental issues ranging from quantum thermalization to state preparation in quantum devices. Very recently, a…

量子物理 · 物理学 2024-11-25 Cunzhong Lou , Chushun Tian , Zhixing Zou , Tao Shi , Lih-King Lim

We study the non-equilibrium diffusion dynamics of supersonic lattice solitons in a classical chain of atoms with nearest-neighbor interactions coupled to a heat bath. As a specific example we choose an interaction with cubic anharmonicity.…

软凝聚态物质 · 物理学 2009-11-07 Edward Arevalo , Franz G. Mertens , Yuri Gaididei , A. R. Bishop

This work addresses the problem of relaxation of open systems to quasi-equilibrium states. Time-dependent density matrix of two arbitrary coupled quantum oscillators of arbitrary properties interacting with separate reservoirs is derived…

量子物理 · 物理学 2016-01-27 Illarion Dorofeyev

We numerically investigate the correlation function, the response and the breakdown of the Fluctuation-Dissipation Theorem (FDT) in active particles close to the motility-induced critical point. We find a strong FDT violation in the short…

软凝聚态物质 · 物理学 2022-03-16 Claudio Maggi , Nicoletta Gnan , Matteo Paoluzzi , Emanuela Zaccarelli , Andrea Crisanti

Fundamental understanding of complex dynamics in many-particle systems on the atomistic level is of utmost importance. Often the systems of interest are of macroscopic size but can be partitioned into few important degrees of freedom which…

化学物理 · 物理学 2015-07-09 Fabian Gottwald , Sven Karsten , Sergei D. Ivanov , Oliver Kühn

We study the dynamics of the oscillating gauged scalar field in a thermal bath. A Langevin type equation of motion of the scalar field, which contains both dissipation and fluctuation terms, is derived by using the real-time finite…

高能物理 - 唯象学 · 物理学 2014-04-30 Yuhei Miyamoto , Hayato Motohashi , Teruaki Suyama , Jun'ichi Yokoyama

The fluctuation-dissipation relation (FDR) is measured on the dielectric properties of a polymer glass (polycarbonate)in the range $20mHz - 100Hz$. It is found that after a quench below the glass transition temperature the fluctuation…

无序系统与神经网络 · 物理学 2009-11-10 L. Buisson , S. Ciliberto , A. Garcimartin

Heat transport in open quantum systems is particularly susceptible to the modeling of system-reservoir interactions. It thus requires to consistently treat the coupling between a quantum system and its environment. While perturbative…

统计力学 · 物理学 2017-06-07 Thomas Motz , Joachim Ankerhold , Jürgen T. Stockburger

Spontaneous fluctuations and stimulus response are essential features of neural functioning but how they are connected is poorly understood. I derive fluctuation-dissipation relations (FDR) between the spontaneous spike and voltage…

神经元与认知 · 定量生物学 2022-11-09 Benjamin Lindner

We apply the macroscopic fluctuation theory (MFT) to study the large-scale dynamical properties of Brownian particles with arbitrary pairwise interaction. By combining it with standard results of equilibrium statistical mechanics for the…

统计力学 · 物理学 2026-05-19 Aurélien Grabsch , Davide Venturelli , Olivier Bénichou