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In simulations of colloidal matter, frictional contacts between particles are often neglected. For spherical colloids, such an approximation can be problematic, since frictional contacts couple translational and rotational degrees of…

软凝聚态物质 · 物理学 2026-05-27 Kay Hofmann , Kay-Robert Dormann , Benno Liebchen , Friederike Schmid

By using extensive Molecular Dynamics simulations, we have determined the violation of the fluctuation-dissipation theorem in a Lennard-Jones liquid quenched to low temperatures. For this we have calculated $X(C)$, the ratio between a one…

统计力学 · 物理学 2009-10-31 Jean-Louis Barrat , Walter Kob

The fluctuation-dissipation (F-D) theorem is a fundamental result for systems near thermodynamic equilibrium, and justifies studies between microscopic and macroscopic properties. It states that the nonequilibrium relaxation dynamics is…

统计力学 · 物理学 2015-03-13 Jianhua Xing

We calculate the bulk-diffusion coefficient and the conductivity in a broad class of conserved-mass aggregation processes on a ring of discrete sites. These processes involve chipping and fragmentation of masses, which diffuse around and…

In this work, we focus on the behavior of a single passive Brownian particle in a suspension of passive particles with short-range repulsive interactions and a larger self-diffusion coefficient. While the forces affecting the…

统计力学 · 物理学 2023-04-26 Deborah Schwarcz , Stanislav Burov

Entropy and the fluctuation-dissipation theorem are at the heart of statistical mechanics near equilibrium. Driving a system beyond the linear response regime leads to (i) the breakdown of the fluctuation-dissipation theorem and (ii) a…

统计力学 · 物理学 2010-09-10 Thomas Speck

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 study the dynamics of colloidal suspensions of hard spheres that are subject to Brownian motion in the overdamped limit. We obtain the time evolution of the self and distinct parts of the van Hove function by means of dynamical density…

软凝聚态物质 · 物理学 2018-01-16 Daniel Stopper , Kevin Marolt , Hendrik Hansen-Goos , Roland Roth

Diffusive transport in many complex systems features a crossover between anomalous diffusion at short times and normal diffusion at long times. This behavior can be mathematically modeled by cutting off (tempering) beyond a mesoscopic…

统计力学 · 物理学 2021-10-15 Thomas Vojta , Zachary Miller , Samuel Halladay

We discuss an extension of the fluctuation theorem to stochastic models that, in the limit of zero external drive, are not able to equilibrate with their environment, extending results presented by Sellitto (cond-mat/9809186). We show that…

无序系统与神经网络 · 物理学 2009-11-11 F. Zamponi , F. Bonetto , L. F. Cugliandolo , J. Kurchan

This paper is concerned with the stochastic thermodynamics of non-equilibrium Gaussian processes that can exhibit anomalous diffusion. In the systems considered, the noise correlation function is not necessarily related to friction. Thus,…

统计力学 · 物理学 2022-12-20 S. Mohsen J. Khadem , Rainer Klages , Sabine H. L. Klapp

Brownian motion imposes a hard limit on the overall precision of a nanomechanical measurement. Here, we present a combined experimental and theoretical study of the Brownian dynamics of a quintessential nanomechanical system, a…

The resolution of Brownian motion in simulations of micro-particle suspensions can be crucial to reproducing the correct dynamics of individual particles, as well as providing an accurate characterisation of suspension properties. Including…

流体动力学 · 物理学 2015-06-16 Eric E. Keaveny

We measure the fluctuations of the position of a Brownian particle confined by an optical trap in an aging gelatin droplet after a fast quench. Its linear response to an external perturbation is also measured. We compute the spontaneous…

统计力学 · 物理学 2012-03-05 Juan Ruben Gomez-Solano , Artyom Petrosyan , Sergio Ciliberto

We analyze the diffusion of a Brownian particle in a fluid under stationary flow. By using the scheme of non-equilibrium thermodynamics in phase space, we obtain the Fokker-Planck equation which is compared with others derived from kinetic…

统计力学 · 物理学 2016-08-16 I. Santamaría-Holek , D. Reguera , J. M. Rubí

The fluctuation-dissipation relation (FDR) links thermal fluctuations and dissipation at thermal equilibrium through temperature. Extending it beyond equilibrium conditions in pursuit of broadening thermodynamics is often feasible, albeit…

统计力学 · 物理学 2025-02-04 Dima Boriskovsky , Benjamin Lindner , Yael Roichman

We study the linear response in different models of driven granular gases. In some situations, even if the the velocity statistics can be strongly non-Gaussian, we do not observe appreciable violations of the Einstein formula for diffusion…

统计力学 · 物理学 2009-11-13 A. Puglisi , A. Baldassarri , A. Vulpiani

We propose in this work a fractional stochastic differential equation (FSDE) model consistent with the over-damped limit of the generalized Langevin equation model. As a result of the `fluctuation-dissipation theorem', the differential…

概率论 · 数学 2017-09-20 Lei Li , Jian-Guo Liu , Jianfeng Lu

A fully quantum treatment of Einstein's Brownian motion is given, showing in particular the role played by the two original requirements of translational invariance and connection between dynamics of the Brownian particle and atomic nature…

量子物理 · 物理学 2007-05-23 Francesco Petruccione , Bassano Vacchini

In this Letter we report the measurement of a pseudo-temperature for compacting granular media on the basis of the Fluctuation-Dissipation relations in the aging dynamics of a model system. From the violation of the Fluctuation-Dissipation…

统计力学 · 物理学 2009-11-07 Vittoria Colizza , Alain Barrat , Vittorio Loreto