Abstract
Monte Carlo simulations are employed to investigate the dynamic behavior in a polydisperse granular media with fractal size distribution. The dispersion of size distribution can be described by a fractal dimension d f, and the smooth hard disks are engaged in a two-dimensional horizontal rectangular box, colliding inelastically with each other and driven by Gaussian white noise. We have mainly studied the effect of the dispersion on the steady-state dynamic properties of the system in the same inelasticity case. With the increase of df, the distributions of path lengths between collisions deviate more obviously from expected theoretical forms for elastic spheres and have an overpopulation of short distances. The collision rate increases with d f, but it is independent of time. The tails of the velocity distribution functions rise significantly above a Gaussian as df increases, but the non-Gaussian velocity distribution functions do not demonstrate any apparent universal form. Moreover, the spatial velocity correlations are apparently stronger with the increase of df. The df-dependent nature of the dynamic behavior is induced by the more dissipation due to the more dispersion of the disk size distribution in the inelastic collisions as df is increased.
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