Ballistic Coalescence Model
S. Ispolatov, P. L. Krapivsky
Abstract
We study statistical properties of a one dimensional infinite system of coalescing particles. Each particle moves with constant velocity 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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