Particle Systems with Stochastic Passing

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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5 pages, 5 figures

Scientific paper

10.1103/PhysRevE.61.R2163

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.

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