Correlations in Ballistic Processes

Abstract

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 $\xi =2d/(d+2)$.

4 pages, 1 figure

References in corpus (5)

• Scaling Theory and Exactly Solved Models In the Kinetics of Irreversible Aggregation
• Kinetics of Clustering in Traffic Flows
• Aggregation with Multiple Conservation Laws
• Exact solution of the one-dimensional ballistic aggregation
• Dynamics of ballistic annihilation

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