Randomly Driven Granular Fluids: collisional statistics and short scale structure

Abstract

We present a molecular dynamics and kinetic theory study of granular material, modeled by inelastic hard disks, fluidized by a random driving force. The focus is on collisional averages and short distance correlations in the non-equilibrium steady state, in order to analyze in a quantitative manner the breakdown of molecular chaos, i.e. factorization of the two-particle distribution function, $f^{(2)}(x_1,x_2)\simeq \chi f^{(}1)(x_1)f^{(1)}(x_2)$ in a product of single particle ones, where $x_i=\{{\mathbf{r}}_i,{\mathbf{v}}_i\}$ with $i=1,2$ and $\chi$ represents the position correlation. We have found that molecular chaos is only violated in a small region of the two-particle phase space $\{x_1,x_2\}$, where there is a predominance of grazing collisions. The size of this singular region grows with increasing inelasticity. The existence of particle- and noise-induced recollisions magnifies the departure from mean field behavior. The implications of this breakdown in several physical quantities are explored.

28 pages, 16 figures

References in corpus (2)

• Velocity Distributions and Correlations in Homogeneously Heated Granular Media
• Heated granular fluids: the random restitution coefficient approach

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