Particle Systems with Stochastic Passing

I. Ispolatov; P. L. Krapivsky

doi:10.1103/physreve.61.r2163

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arXiv · cond-mat/9912293

Particle Systems with Stochastic Passing

I. Ispolatov·P. L. Krapivsky

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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.

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BibTeX RIS

I. Ispolatov, P. L. Krapivsky. 1999-12-16. Particle Systems with Stochastic Passing. https://doi.org/10.1103/physreve.61.r2163

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