Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-12-16
Physics
Condensed Matter
Statistical Mechanics
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.
Ispolatov Iaroslav
Krapivsky Paul. L.
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