On energy and clusters in stochastic systems of sticky gravitating particles

V. V. Vysotsky

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We consider a one-dimensional model of a gravitational gas. The gas consists of n particles whose initial positions and speeds are random. At collisions particles stick together, forming "clusters." Our main goal is to study the properties of the gas as n → ∞. We separately consider "cold gas" (each particle has zero initial speed) and "warm gas" (each particle has nonzero initial speed). For the cold gas, the asymptotics of the number of clusters Kn(t) is studied. We also explore the kinetic energy En(t). It is proved that the warm gas instantly "cools," i.e., En(+0) → 0 as n → ∞.

Original languageEnglish (US)
Pages (from-to)265-283
Number of pages19
JournalTheory of Probability and its Applications
Volume50
Issue number2
DOIs
StatePublished - Jul 24 2006

Keywords

  • Energy
  • Gravitational gas
  • Nonelastic collisions
  • Number of clusters
  • Sticky particles
  • System of particles

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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