Correlations in Ballistic Processes

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.91.218302

We investigate a class of reaction processes in which particles move ballistically and react upon colliding. We show that correlations between velocities of colliding particles play a crucial role in the long time behavior. In the reaction-controlled limit when particles undergo mostly elastic collisions and therefore are always near equilibrium, the correlations are accounted analytically. For ballistic aggregation, for instance, the density decays as $n\sim t^{-\xi}$ with $\xi=2d/(d+3)$ in the reaction-controlled limit in $d$ dimensions, in contrast with well-known mean-field prediction $\xi=2d/(d+2)$.

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