Scaling, multiscaling, and nontrivial exponents in inelastic collision processes
Scaling, multiscaling, and nontrivial exponents in inelastic collision processes
We investigate velocity statistics of homogeneous inelastic gases using the Boltzmann equation. Employing an approximate uniform collision rate, we obtain analytic results valid in arbitrary dimension. In the freely evolving case, the velocity distribution is characterized by an algebraic large-velocity tail, P(v,t) approximately v(-sigma). The exponent sigma(d,epsilon), a nontrivial root …