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Randomly Driven Granular Fluids: collisional statistics and short scale structure | | I. Pagonabarraga
; E. Trizac
; T.P.C. van Noije
; M.H. Ernst
; | | Date: |
27 Jul 2001 | | Journal: | Phys. Rev. E 65, 011303 (2002). | | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks | cond-mat.stat-mech cond-mat.dis-nn | | 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 $x_i = {{f r}_i, {f v}_i }$ 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. | | Source: | arXiv, cond-mat/0107570 | | Services: | Forum | Review | PDF | Favorites | |
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