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Related papers: Mpemba effect in driven granular Maxwell gases

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We investigate a kinetic model of a system in contact with several thermal reservoirs at different temperatures $T_\alpha$. Our system is a spatially uniform dilute gas whose internal dynamics is described by the nonlinear Boltzmann…

Mathematical Physics · Physics 2014-06-17 Eric A. Carlen , Joel L. Lebowitz , Clement Mouhot

This paper presents a molecular dynamics simulation of an inelastic gas, where collisions between molecules are characterized by a coefficient of restitution less than unity. The simulation employs an event-driven algorithm to efficiently…

Computational Physics · Physics 2025-02-03 Rameez Farooq Shah , Shikha Kumari , Syed Rashid Ahmad

In general, the total kinetic energy in a multicomponent granular gas of inelastic and rough hard spheres is unequally partitioned among the different degrees of freedom. On the other hand, partial energy equipartition can be reached, in…

Soft Condensed Matter · Physics 2019-06-19 Antonio Lasanta , Francisco Vega Reyes , Vicente Garzó , Andrés Santos

The free evolution of inelastic particles in one dimension is studied by means of Molecular Dynamics (MD), of an inelastic pseudo-Maxwell model and of a lattice model, with emphasis on the role of spatial correlations. We present an exact…

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

The pressure exerted on a wall by a gas at equilibrium does not depend on the shape of the confining potential defining the wall. In contrast, it has been shown recently [A.P. Solon et al., Nat. Phys. 11, 673 (2015)] that a gas of…

Soft Condensed Matter · Physics 2016-03-11 Marc Joyeux , Eric Bertin

Particle-particle and particle-gas processes significantly impact planetary precursors such as dust aggregates and planetesimals. We investigate gas permeability ($\kappa$) in 12 granular samples, mimicking planetesimal dust regoliths.…

Relaxation towards equilibrium is often assumed to be slower when a system starts farther from equilibrium, but this intuition fails in the Mpemba effect. Recent advances in controllable quantum platforms have enabled the exploration of its…

Statistical Mechanics · Physics 2026-03-13 Shion Yamashika , Ryusuke Hamazaki

We investigate a Maxwell model of inelastic granular mixture under the influence of a stochastic driving and obtain its steady state properties in the context of classical kinetic theory. The model is studied analytically by computing the…

Statistical Mechanics · Physics 2009-11-07 Umberto Marini Bettolo Marconi , Andrea Puglisi

The model of inelastic Maxwell particles (IMP) allows one to derive some exact results which show the strong influence of inelasticity on the nonequilibrium properties of a granular gas. The aim of this work is to propose a simple model…

Statistical Mechanics · Physics 2007-08-30 Andres Santos

We present a biased review of some of the most "spectacular" effects appearing in the dynamics of granular gases where the dissipative nature of the collisions leads to a rich phenomenology, exhibiting striking differences with equilibrium…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Emmanuel Trizac , Matthieu H. Ernst

The shear viscosity in the dilute regime of a model for confined granular matter is studied by simulations and kinetic theory. The model consists on projecting into two dimensions the motion of vibrofluidized granular matter in shallow…

Statistical Mechanics · Physics 2015-06-22 Rodrigo Soto , Dino Risso , Ricardo Brito

The Boltzmann equation for inelastic Maxwell models is considered in order to investigate the dynamics of an impurity (or intruder) immersed in a granular gas driven by a uniform shear flow. The analysis is based on an exact solution of the…

Statistical Mechanics · Physics 2015-06-03 V. Garzó , E. Trizac

Kinetic models for polyatomic gases have two temperatures for the two different types of degrees of freedom, the translational and the internal energy degrees of freedom. Therefore, in the case of BGK models one expects two types of…

Analysis of PDEs · Mathematics 2018-10-23 Marlies Pirner

The Boltzmann equation for $d$-dimensional inelastic Maxwell models is considered to determine the collisional moments of second, third and fourth degree in a granular binary mixture. These collisional moments are exactly evaluated in terms…

Statistical Mechanics · Physics 2023-02-08 Constantino Sánchez Romero , Vicente Garzó

We uncover an unforeseen asymmetry in relaxation -- for a pair of thermodynamically equidistant temperature quenches, one from a lower and the other from a higher temperature, the relaxation at the ambient temperature is faster in case of…

Statistical Mechanics · Physics 2022-06-20 Alessio Lapolla , Aljaž Godec

We study fluidized granular gases in a stationary state determined by the balance between an external driving and the bulk dissipation. The two considered situations are inspired by recent experiments, where the gravity plays a major role…

Statistical Mechanics · Physics 2009-10-31 A. Baldassarri , U. Marini Bettolo Marconi , A. Puglisi , A. Vulpiani

The behavior of a driven granular gas in a container consisting of $M$ connected compartments is studied employing a microscopic kinetic model. After obtaining the governing equations for the occupation numbers and the granular temperatures…

Statistical Mechanics · Physics 2009-11-10 U. Marini Bettolo Marconi , Massimo Conti

The interplay between symmetries and entanglement in out-of-equilibrium quantum systems is currently at the centre of an intense multidisciplinary research effort. Here we introduce a setting where these questions can be characterised…

Statistical Mechanics · Physics 2025-02-07 Alessandro Foligno , Pasquale Calabrese , Bruno Bertini

We study the effects of long range interactions on the phases observed in cohesive granular materials. At high vibration amplitudes, a gas of magnetized particles is observed with velocity distributions similar to non-magnetized particles.…

Soft Condensed Matter · Physics 2009-11-07 Daniel L. Blair , A. Kudrolli

The properties of a dilute granular gas in the homogeneous cooling state are mapped to those of a stationary state by means of a change in the time scale that does not involve any internal property of the system. The new representation is…

Statistical Mechanics · Physics 2009-11-10 J. Javier Brey , M. J. Ruiz-Montero , F. Moreno