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We introduce and solve a model of a thermometric measurement on a driven glassy system in a stationary state. We show that a thermometer with a sufficiently slow response measures a temperature higher than that of the environment, but that…

Statistical Mechanics · Physics 2009-10-31 Raphael Exartier , Luca Peliti

Using particle trajectory data obtained from x-ray tomography, we determine two kinds of effective temperatures in a cyclically sheared granular system. The first one is obtained from the fluctuation-dissipation theorem which relates the…

Soft Condensed Matter · Physics 2022-12-07 Zhikun Zeng , Shuyang Zhang , Xu Zheng , Chengjie Xia , Walter Kob , Ye Yuan , Yujie Wang

Years ago Edwards proposed a thermodynamic description of dense granular matter, in which the grains (the `atoms' of the system) interact with inelastic forces. The approach is intriguing but is not justified from first principles, and…

Soft Condensed Matter · Physics 2007-05-23 Hernan A. Makse , Jorge Kurchan

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…

Statistical Mechanics · Physics 2015-06-23 T. S. Bortolin , A. Iucci

We investigate various possible definitions of an effective temperature for a particularly simple nonequilibrium stationary system, namely a heated Brownian particle suspended in a fluid. The effective temperature based on the fluctuation…

Statistical Mechanics · Physics 2011-05-30 Laurent Joly , Samy Merabia , Jean-Louis Barrat

We present several numerical results on granular mixtures. In particular, we examine the efficiency of diffusion as a mixing mechanism in these systems. The collisions are inelastic and to compensate the energy loss, we thermalize the…

Statistical Mechanics · Physics 2009-10-31 C. Henrique , G. Batrouni , D. Bideau

We perform molecular dynamics simulations of repulsive athermal systems sheared at fixed normal load to study the effective temperature $T_L$ defined from time-dependent fluctuation-dissipation relations for density. We show that these…

Soft Condensed Matter · Physics 2009-11-10 Ning Xu , Corey S. O'Hern

The aging dynamics and the fluctuation-dissipation relation between the spontaneous diffusion induced by a random noise and the drift motion induced by a small stirring force are numerically investigated in a 3D schematic model of…

Statistical Mechanics · Physics 2009-10-31 M. Sellitto

Within both slightly non--extensive statistics and related numerical model, a picture is elaborated to treat self--similar time series as a thermodynamic system. Thermodynamic--type characteristics relevant to temperature, pressure,…

Statistical Mechanics · Physics 2015-06-25 Alexander Olemskoi , Sergei Kokhan

Starting from the stochastic thermodynamics description of two coupled underdamped Brownian particles, we showcase and compare three different coarse-graining schemes leading to an effective thermodynamic description for the first of the…

Statistical Mechanics · Physics 2020-02-20 Tim Herpich , Kamran Shayanfard , Massimiliano Esposito

The Green-Kubo relation for two models of granular gases is discussed. In the Maxwell model in any dimension, the effective temperature obtained from the Green-Kubo relation is shown to be frequency independent, and equal to the average…

Soft Condensed Matter · Physics 2008-05-19 Guy Bunin , Yair Shokef , Dov Levine

In this paper we simulate a two dimensional relativistic ideal gas by implementing a relativistic elastic binary collision algorithm. We show that the relativistic gas faithfully obeys J\"uttner's speed distribution function. Furthermore,…

General Relativity and Quantum Cosmology · Physics 2008-10-10 Constantin Rasinariu

Frustrated arrays of interacting single-domain nanomagnets provide important model systems for statistical mechanics, because they map closely onto well-studied vertex models and are amenable to direct imaging and custom engineering.…

Statistical Mechanics · Physics 2015-05-19 Cristiano Nisoli , Jie Li , Xianglin Ke , D. Garand , Peter Schiffer , Vincent H. Crespi

The condition of thermal equilibrium simplifies the theoretical treatment of fluctuations as found in the celebrated Einstein's relation between mobility and diffusivity for Brownian motion. Several recent theories relax the hypothesis of…

Statistical Mechanics · Physics 2014-04-10 Andrea Gnoli , Andrea Puglisi , Alessandro Sarracino , Angelo Vulpiani

The violations of the fluctuation-dissipation theorem are analyzed for a trap model with a gausssian density of states. In this model, the system reaches thermal equilibrium for long times after a quench to any finite temperature and…

Soft Condensed Matter · Physics 2015-06-25 Gregor Diezemann

Granular systems are not always homogeneous and can be composed of grains with very different mechanical properties. To improve our understanding of the behavior of real granular systems, in this experimental study, we compress 2D…

Soft Condensed Matter · Physics 2021-07-14 Jonathan Barés , Manuel Cárdenas-Barrantes , David Cantor , Émilien Azéma , Mathieu Renouf

In this letter, we report results on the effect of temperature variations on a granular assembly through Molecular Dynamic simulations of a 2D granular column. Periodic dilation of the grains are shown to perfectly mimic such thermal…

Soft Condensed Matter · Physics 2015-06-16 Baptiste Percier , Thibaut Divoux , Nicolas Taberlet

We experimentally investigate the steady states of two granular assemblies differing in their material properties and allowed to exchange volume with each other under external agitation in the vicinity of their jamming transition. We…

Soft Condensed Matter · Physics 2010-02-01 F. Lechenault , Karen E. Daniels

The optimization of the conversion of thermal energy into work and the minimization of dissipation for nano- and mesoscopic systems is a complex challenge because of the important role fluctuations play on the dynamics of small systems. We…

Quantum Physics · Physics 2025-09-24 Alberto Rolandi

We study the steady state properties of a 2D granular mixture in the presence of energy driving by employing simple analytical estimates and Direct Simulation Monte Carlo. We adopt two different driving mechanisms: a) a homogeneous heat…

Statistical Mechanics · Physics 2009-11-07 R. Pagnani , U. Marini Bettolo Marconi , A. Puglisi