Ballistic coalescence model

S Ispolatov and P.l Krapivsky

Physica A: Statistical Mechanics and its Applications, 1998, vol. 252, issue 1, 165-172

Abstract: We study statistical properties of a one-dimensional infinite system of interacting particles. Each particle moves with constant velocity towards its closest neighbor and particles coalesce upon collisions. We propose a mean-field theory that predicts a t−1 concentration decay, confirmed by simulations, and provides qualitative description for the densities of growing, constant, and shrinking inter-particle gaps.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:252:y:1998:i:1:p:165-172

DOI: 10.1016/S0378-4371(97)00656-0

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