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Ballistic coalescence model

Author

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  • Ispolatov, S
  • Krapivsky, P.L

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.

Suggested Citation

  • Ispolatov, S & Krapivsky, P.L, 1998. "Ballistic coalescence model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 252(1), pages 165-172.
  • Handle: RePEc:eee:phsmap:v:252:y:1998:i:1:p:165-172
    DOI: 10.1016/S0378-4371(97)00656-0
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