Steady State Properties of One-Dimensional Non-uniform Granular Gases Subjected to Gaussian White Noise Driving

We present a model of non-uniform granular gases in one-dimensional case,whose granularity distribution has the fractal characteristic. We havestudied the nonequilibrium properties of the system by means of Monte Carlomethod. When the typical relaxation time τ of the Brownian process isgreater than the mean collision time τ_c, the energy evolutionof the system exponentially decays, with a tendency to achieve a stableasymptotic value, and the system finally reaches a nonequilibrium steadystate in which the velocity distribution strongly deviates from the Gaussian one. Three other aspects have also been studied for the steady state: the visualized change of the particle density, the entropy of the system and the correlations in the velocity of particles. And the results of simulations indicate that the system has strong spatial clustering; Furthermore, the influence of the inelasticity and inhomogeneity on dynamic behaviors have also been extensively investigated, especially the dependence of the entropyand the correlations in the velocity of particles on the restitute coefficient e and the fractal dimension D.