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General aspects of the Fluctuation-Dissipation Relation (FDR), and Response Theory are considered. After analyzing the conceptual and historical relevance of fluctuations in statistical mechanics, we illustrate the relation between the…

We consider the shear rheology of concentrated suspensions of non-Brownian frictional particles. The key result of our study is the emergence of a pronounced shear-thickening regime, where frictionless particles would normally undergo…

软凝聚态物质 · 物理学 2013-11-27 Claus Heussinger

A self-propelled artificial microswimmer is often modeled as a ballistic Brownian particle moving with constant speed aligned along one of its axis, but changing direction due to random collisions with the environment. Similarly to thermal…

软凝聚态物质 · 物理学 2015-12-08 Pulak K. Ghosh , Yunyun Li , Giampiero Marchegiani , Fabio Marchesoni

We investigate the statistics of the fluctuations of the energy transfer between an overdamped Brownian particle, whose motion is confined by a stationary harmonic potential, and a surrounding viscoelastic fluid at constant temperature. We…

统计力学 · 物理学 2023-10-19 Farshad Darabi , Brandon R. Ferrer , Juan Ruben Gomez-Solano

We study experimentally the thermal fluctuations of energy input and dissipation in a harmonic oscillator driven out of equilibrium, and search for Fluctuation Relations. We study transient evolution from the equilibrium state, together…

统计力学 · 物理学 2007-11-28 Sylvain Joubaud , Nicolas Garnier , Sergio Ciliberto

In thermal equilibrium, the fluctuation-dissipation theorem relates the linear response and correlation functions in a model and observable independent fashion. Out of equilibrium, these relations still hold if the equilibrium temperature…

统计力学 · 物理学 2015-06-23 T. S. Bortolin , A. Iucci

Brownian yet non-Gaussian processes have recently been observed in numerous biological systems and the corresponding theories have been built based on random diffusivity models. Considering the particularity of random diffusivity, this…

统计力学 · 物理学 2022-08-31 Xudong Wang , Yao Chen

Dynamic particle-scale numerical simulations are used to show that the shear thickening observed in dense colloidal, or Brownian, suspensions is of a similar nature to that observed in non-colloidal suspensions, i.e., a stress-induced…

软凝聚态物质 · 物理学 2015-12-04 Romain Mari , Ryohei Seto , Jeffrey F. Morris , Morton M. Denn

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

We derive the Virial theorem appropriate to the generalized Smoluchowski-Poisson system describing self-gravitating Brownian particles and bacterial populations (chemotaxis). We extend previous works by considering the case of an unbounded…

统计力学 · 物理学 2014-10-13 Pierre-Henri Chavanis , Clement Sire

We derive an exact expression of the response function to an infinitesimal magnetic field for the Ising-Glauber model with arbitrary exchange couplings.nThe result is expressed in terms of thermodynamic averages and does not depend on…

统计力学 · 物理学 2007-05-23 Christophe Chatelain

At the beginning of last century, Gerlach and Lehrer observed the rotational Brownian motion of a very fine wire immersed in an equilibrium environment, a gas. This simple experiment eventually permitted the full development of one of the…

统计力学 · 物理学 2009-11-10 G. D'Anna , P. Mayor , A. Barrat , V. Loreto , F. Nori

A self-consistent kinetic theory of Thomson scattering of an electromagnetic field by a non-uniform plasma is derived. We draw the readers' attention to the inconsistency in recent results on the Thomson scattering in inhomogeneous plasma,…

等离子体物理 · 物理学 2018-05-16 V. V. Belyi

We report on measurements of self-diffusion coefficients in discrete numerical simulations of steady, homogeneous, collisional shearing flows of nearly identical, frictional, inelastic spheres. We focus on a range of relatively high solid…

软凝聚态物质 · 物理学 2021-04-01 Riccardo Artoni , Michele Larcher , James Jenkins , Patrick Richard

The fluctuation-dissipation relation tells that dissipation always accompanies with thermal fluctuations. Relativistic fluctuating hydrodynamics is used to study the effects of the thermal fluctuations in the hydrodynamic expansion of the…

核理论 · 物理学 2019-02-20 Tetsufumi Hirano , Ryuichi Kurita , Koichi Murase

In this review, we scrutinize historical and modern results on the linear response of dynamical systems to external perturbations with a particular emphasis on the celebrated relationship between fluctuations and dissipation expressed by…

For systems in equilibrium at a temperature $T$, thermal noise and energy damping are related to $T$ through the fluctuation-dissipation theorem (FDT). We study here an extension of the FDT to an out of equilibrium steady state: a…

统计力学 · 物理学 2023-03-23 Alex Fontana , Ludovic Bellon

We study non-equilibrium (NE) fluctuation-dissipation (FD) relations in the context of quantum thermoelectric transport through a two-terminal nanodevice, in the steady-state and with interaction. The FD relations for the one- and…

介观与纳米尺度物理 · 物理学 2013-05-23 H. Ness , L. K. Dash

We study the stationary and transient behaviors of the microemulsion phase subjected to a shear flow. The system is described by a diffusion-convective equation which generalizes the usual Cahn-Hilliard equation. Non-linear terms are…

软凝聚态物质 · 物理学 2009-11-07 Giuseppe Gonnella , Marco Ruggieri

We investigate the dynamics of an overdamped Brownian particle moving in a washboard potential with space dependent friction coefficient. Analytical expressions have been obtained for current and diffusion coefficient. We show that the…

统计力学 · 物理学 2009-11-07 Debasis Dan , A. M. Jayannavar