Non-Gaussian and Clustering Behavior in One-Dimensional PolydisperseGranular Gas System

Abstract

We present a one-dimensional dynamic model of polydispersegranular mixture with the fractal characteristic of the particle sizedistribution, in which the particles are subject to inelastic mutualcollisions and are driven by Gaussian white noise. The inhomogeneity of theparticle size distribution is described by a fractal dimension D. Thestationary state that the mixture reaches is the result of the balancebetween energy dissipation and energy injection. By molecular dynamicssimulations, we have mainly studied how the inhomogeneity of the particlesize distribution and the inelasticity of collisions influence the velocitydistribution and distribution of interparticle spacing in the steady-state.The simulation results indicate that, in the inelasticity case, the velocitydistribution strongly deviates from the Gaussian one and the system has astrong spatial clustering. Thus the inhomogeneity and the inelasticity havegreat effects on the velocity distribution and distribution of interparticlespacing. The quantitative information of the non-Gaussian velocitydistribution and that of clustering are respectively represented.