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A two-dimensional bidisperse granular fluid is shown to exhibit pronounced long-ranged dynamical heterogeneities as dynamical arrest is approached. Here we focus on the most direct approach to study these heterogeneities: we identify…

无序系统与神经网络 · 物理学 2017-10-27 Karina E. Avila , Horacio E. Castillo , Katharina Vollmayr-Lee , Annette Zippelius

We study the dynamics of a collisionless kinetic gas in the most general static, spherically symmetric dispersion relation. For a static, spherically symmetric kinetic gas, we derive the most general solution to these dynamics, and find…

广义相对论与量子宇宙学 · 物理学 2023-12-22 Manuel Hohmann

Systems of particles with long range interactions present two important processes: first, the formation of out-of-equilibrium quasi-stationary states (QSS), and the collisional relaxation towards Maxwell-Boltzmann equilibrium in a much…

统计力学 · 物理学 2017-03-08 Fernanda P. C. Benetti , Bruno Marcos

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…

统计力学 · 物理学 2023-02-08 Constantino Sánchez Romero , Vicente Garzó

In this paper we numerically investigate the influence of dissipation during particle collisions in an homogeneous turbulent velocity field by coupling a discrete element method to a Lattice-Boltzmann simulation with spectral forcing. We…

流体动力学 · 物理学 2012-12-18 Thomas Burgener , Dirk Kadau , Hans Jürgen Herrmann

We investigate the velocity relaxation of a viscous one-dimensional granular gas, that is, one in which neither energy nor momentum is conserved in a collision. Of interest is the distribution of velocities in the gas as it cools, and the…

统计力学 · 物理学 2009-11-10 Alexandre Rosas , Daniel ben-Avraham , Katja Lindenberg

Combining analytical and numerical methods, we study within the framework of the homogeneous non-linear Boltzmann equation, a broad class of models relevant for the dynamics of dissipative fluids, including granular gases. We use the new…

统计力学 · 物理学 2007-09-23 E. Trizac , A. Barrat , M. H. Ernst

The fluid - crystal equilibria of polydisperse mixtures of hard spheres have been studied by computer simulation of the solid phase and using an accurate equation of state for the fluid. A new scheme has been developed to evaluate the…

统计力学 · 物理学 2007-05-23 N. G. Almarza , E. Enciso

We develop a general analysis of the diffusive dynamics of polydisperse polymers in the presence of chemical potential gradients, within the context of the tube model (with all species entangled). We obtain a set of coupled dynamical…

软凝聚态物质 · 物理学 2009-11-07 I. Pagonabarraga , M. E. Cates

A proposal to link the equation of state of a monocomponent hard-disk fluid to the equation of state of a polydisperse hard-disk mixture is presented. Event-driven molecular dynamics simulations are performed to obtain data for the…

软凝聚态物质 · 物理学 2017-12-07 Andrés Santos , Santos B. Yuste , Mariano López de Haro , Vitaliy Ogarko

A quasiparticle description of various condensed media is a very popular tool in study of their transport and thermodynamic properties. I present here a microscopic theory for the description of diffusion processes in two-component gas of…

统计力学 · 物理学 2009-11-07 Alexander V. Zhukov

We present the Multi-Particle-Collision (MPC) dynamics approach to simulate properties of low-dimensional systems. In particular, we illustrate the method for a simple model: a one-dimensional gas of point particles interacting through…

A kinetic model for the Boltzmann equation is proposed and explored as a practical means to investigate the properties of a dilute granular gas. It is shown that all spatially homogeneous initial distributions approach a universal…

统计力学 · 物理学 2009-11-10 James W. Dufty , Aparna Baskaran , Lorena Zogaib

We provide a rigorous derivation of the brownian motion as the hydrodynamic limit of a deterministic system of hard-spheres as the number of particles $N$ goes to infinity and their diameter $\varepsilon$ simultaneously goes to $0,$ in the…

偏微分方程分析 · 数学 2015-02-25 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond

This paper is concerned with the existence, shape and dynamical stability of infinite-energy equilibria for a general class of spatially homogeneous kinetic equations in space dimensions $d \geq 3$. Our results cover in particular…

数学物理 · 物理学 2013-09-30 Federico Bassetti , Lucia Ladelli , Daniel Matthes

We study optimal design problems for stationary diffusion involving one or more state equations and mixtures of an arbitrary number of anisotropic materials. Since such problems typically do not admit classical solutions, we adopt a…

最优化与控制 · 数学 2026-01-21 Matko Grbac , Ivan Ivec , Marko Vrdoljak

The statistical-physical study of granular matter is essential to understand, from a fundamental point of view, the many different phenomena emerging in these classical many-body systems. Under rapid-flow conditions, granular materials…

软凝聚态物质 · 物理学 2023-10-23 Alberto Megías

The velocity distribution in a homogeneously cooling granular gas has been studied in the viscoelastic regime when the restitution coefficient of colliding particles depends on the impact velocity. We show that for viscoelastic particles…

统计力学 · 物理学 2009-10-31 Nikolai V. Brilliantov , Thorsten Poeschel

A new lattice Boltzmann model for multicomponent ideal gas mixtures is presented. The model development consists of two parts. First, a new kinetic model for Stefan- Maxwell diffusion amongst the species is proposed and realized as a…

流体动力学 · 物理学 2020-12-23 N. Sawant , B. Dorschner , I. V. Karlin

The self-diffusion process of a hard sphere fluid confined by two parallel plates separated by a distance on the order of the particle diameter is studied. The starting point is a closed kinetic equation for the distribution function that…

统计力学 · 物理学 2025-10-24 Manuel Mayo , María Isabel García de Soria , Pablo Maynar , José Javier Brey