Particle Systems with Stochastic Passing
Statistical Mechanics
2009-10-31 v1 Disordered Systems and Neural Networks
Abstract
We study a system of particles moving on a line in the same direction. Passing is allowed and when a fast particle overtakes a slow particle, it acquires a new velocity drawn from a distribution P_0(v), while the slow particle remains unaffected. We show that the system reaches a steady state if P_0(v) vanishes at its lower cutoff; otherwise, the system evolves indefinitely.
Cite
@article{arxiv.cond-mat/9912293,
title = {Particle Systems with Stochastic Passing},
author = {I. Ispolatov and P. L. Krapivsky},
journal= {arXiv preprint arXiv:cond-mat/9912293},
year = {2009}
}
Comments
5 pages, 5 figures