Ballistic aggregation: a solvable model of irreversible many particles dynamics

L. Frachebourg, Ph.A. Martin and J. Piasecki

Physica A: Statistical Mechanics and its Applications, 2000, vol. 279, issue 1, 69-99

Abstract: The adhesive dynamics of a one-dimensional aggregating gas of point particles is rigorously described. The infinite hierarchy of kinetic equations for the distributions of clusters of nearest neighbours is shown to be equivalent to a system of two coupled equations for a large class of initial conditions. The solution to these nonlinear equations is found by a direct construction of the relevant probability distributions in the limit of a continuous initial mass distribution. We show that those limiting distributions are identical to those of the statistics of shocks in the Burgers turbulence. The analysis relies on a mapping on a Brownian motion problem with parabolic constraints.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:279:y:2000:i:1:p:69-99

DOI: 10.1016/S0378-4371(99)00585-3

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