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The dynamical properties of a tracer or impurity particle immersed in a host gas of inelastic and rough hard spheres in the homogeneous cooling state is studied. Specifically, the breakdown of energy equipartition as characterized by the…

Soft Condensed Matter · Physics 2019-10-02 Francisco Vega Reyes , Antonio Lasanta , Andrés Santos , Vicente Garzó

We show that fractional exclusion statistics is manifested in general in interacting systems and we discuss the conjecture recently introduced (J. Phys. A: Math. Theor. 40, F1013, 2007), according to which if in a thermodynamic system the…

Statistical Mechanics · Physics 2008-04-10 Dragoş-Victor Anghel

We report numerical simulations of strongly vibrated granular materials designed to mimic recent experiments performed both in presence [1] or absence [2] of gravity. We show that a model with impact velocity dependent restitution…

Statistical Mechanics · Physics 2015-06-24 Sean McNamara , Eric Falcon

A scenario for systems with slow dynamics is characterised by stating that there are several temperatures coexisting in the sample, with a single temperature shared by all observables at each (widely separate) time-scale. In preparation for…

Statistical Mechanics · Physics 2016-08-31 Jorge Kurchan

We review some models of granular materials fluidized by means of external forces such as: random homogeneous forcing with damping, vibrating plates, flow in an inclined channel and flow in a double well potential. All these systems show…

Soft Condensed Matter · Physics 2009-11-10 Andrea Puglisi , Fabio Cecconi , Angelo Vulpiani

For a general class of gas models ---which includes discrete and continuous Gibbsian models as well as contour or polymer ensembles--- we determine a \emph{diluteness condition} that implies: (1) Uniqueness of the infinite-volume…

Mathematical Physics · Physics 2016-10-07 Roberto Fernández , Pablo Groisman , Santiago Saglietti

Driven suspensions, where energy is input at a particle scale, are a framework for understanding general principles of out-of-equilibrium organization. A large number of simple interacting units can give rise to non-trivial structure and…

Soft Condensed Matter · Physics 2026-01-23 Pamud Akalanka Bethmage , Ryker Fish , Brennan Sprinkle , Michelle M. Driscoll

In pursuit of understanding of the paradoxical success of the Adam-Gibbs equation in both experiment and computer simulation studies, we examine the relation between liquid behavior at constant pressure and constant volume and compare the…

Disordered Systems and Neural Networks · Physics 2009-11-07 C. A. Angell , S. Borick

In general, the mechanics of granular matter is described using continuum mechanics approach; this requires to introduce the concepts of stress and strain, which are averaged quantities, so that this needs also to introduce the notion of…

Soft Condensed Matter · Physics 2007-05-23 P. Evesque

Completely open systems can exchange heat, work, and matter with the environment. While energy, volume, and number of particles fluctuate under completely open conditions, the equilibrium states of the system, if they exist, can be…

Statistical Mechanics · Physics 2017-01-25 Ivan Latella , Agustín Pérez-Madrid , Alessandro Campa , Lapo Casetti , Stefano Ruffo

Evidence suggests that the transport rate of a passive particle at long timescales is enhanced due to interactions with the surrounding active ones in a size- and composition-dependent manner. Using a system of particles with different…

Soft Condensed Matter · Physics 2021-07-14 Efe Ilker , Michele Castellana , Jean-François Joanny

We present both experimental and numerical investigations of compaction in granular materials composed of rods. As a function of the aspect ratio of the particles, we have observed large variations of the asymptotic packing volume fraction…

Statistical Mechanics · Physics 2009-11-10 G. Lumay , N. Vandewalle

We have obtained an exact expression for the phase-space volume corresponding to a microcanonical ensemble of systems under center of mass, total linear and angular momenta conservation constraints, and arbitrary constraints on the…

Statistical Mechanics · Physics 2013-05-08 I. H. Umirzakov

We probe, using a model system, elastic and kinetic energies for sheared granular materials. For large enough $P/E_y$ (pressure/Young's modulus) and $P/\rho v^2$ ($P/$kinetic energy density) elastic dominates kinetic energy, and energy…

Soft Condensed Matter · Physics 2007-05-23 Lou Kondic , R. P. Behringer

The two-body potential of systems with long-range interactions decays at large distances as $V(r)\sim 1/r^\alpha$, with $\alpha\leq d$, where $d$ is the space dimension. Examples are: gravitational systems, two-dimensional hydrodynamics,…

Statistical Mechanics · Physics 2009-09-03 A. Campa , T. Dauxois , S. Ruffo

A binary mixture made of heavy and light inelastic hard spheres in the free cooling state is considered. First, the regions in the parameter space where the partial granular temperature of the heavy species is larger (or smaller) than that…

Statistical Mechanics · Physics 2007-08-30 Andres Santos , James W. Dufty

We investigate volume-element sampling strategies for the stochastic homogenization of particle-reinforced composites and show, via computational experiments, that an improper treatment of particles intersecting the boundary of the…

Computational Engineering, Finance, and Science · Computer Science 2021-03-16 Matti Schneider , Marc Josien , Felix Otto

The paper is concerned with proving the equivalence of convexity or concavity properties of thermodynamic functions, such as energy and entropy, depending on different sets of variables. These variables are the basic thermodynamic state…

Analysis of PDEs · Mathematics 2025-10-29 Mária Lukáčová-Medvid'ová , Ferdinand Thein , Gerald Warnecke , Yuhuan Yuan

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

We analyze, experimentally and numerically, the steady states, obtained by tapping, of a 2D granular layer. Contrary to the usual assumption, we show that the reversible (steady state branch) of the density--acceleration curve is…

Statistical Mechanics · Physics 2010-11-18 Luis A. Pugnaloni , Iván Sánchez , Paula A. Gago , José Damas , Iker Zuriguel , Diego Maza