Ballistic Coalescence Model

Details Ballistic Coalescence Model Ballistic Coalescence Model

1997-07-25

arxiv.org/abs/cond-mat/9707271v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 column Revtex, 5 figures included

Scientific paper

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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