Stationary states and energy cascades in inelastic gases

Details Stationary states and energy cascades in inelastic gases Stationary states and energy cascades in inelastic gases

2004-11-30

arxiv.org/abs/cond-mat/0411743v1

Phys. Rev. Lett. 94, 138001 (2005)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.94.138001

We find a general class of nontrivial stationary states in inelastic gases where, due to dissipation, energy is transfered from large velocity scales to small velocity scales. These steady-states exist for arbitrary collision rules and arbitrary dimension. Their signature is a stationary velocity distribution f(v) with an algebraic high-energy tail, f(v) ~ v^{-sigma}. The exponent sigma is obtained analytically and it varies continuously with the spatial dimension, the homogeneity index characterizing the collision rate, and the restitution coefficient. We observe these stationary states in numerical simulations in which energy is injected into the system by infrequently boosting particles to high velocities. We propose that these states may be realized experimentally in driven granular systems.

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