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Ballistic Coalescence Model

S. Ispolatov·P. L. Krapivsky
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Abstract

We study statistical properties of a one dimensional infinite system of coalescing particles. Each particle moves with constant velocity $\pm v$ towards its closest neighbor and merges with it upon collision. We propose a mean-field theory that confirms a $t^{-1}$ concentration decay obtained in simulations and provides qualitative description for the densities of growing, constant, and shrinking inter-particle gaps.

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BibTeXRIS

S. Ispolatov, P. L. Krapivsky. 1997-07-25. Ballistic Coalescence Model. https://doi.org/10.1016/s0378-4371(97)00656-0

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