Particle Systems with Stochastic Passing
I. Ispolatov, P. L. Krapivsky
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 P0(v), while the slow particle remains unaffected. We show that the system reaches a steady state if P0(v) vanishes at its lower cutoff; otherwise, the system evolves indefinitely.
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