Short note on conditional collapse of self-gravitating system with positive total energy

Jaewook Ahn, Jung-il Choi

Research output: Contribution to journalArticle

Abstract

In this study, we first show a finite time collapse of a three-dimensional Smoluchowski–Poisson system in the micro-canonical ensemble (i.e., μSP system) with positive total energy. Using a precise estimation of the bound of the gravitational contribution to total energy, we provide blow-up conditions on the initial state of the μSP system. The conditions indicate that highly clustered self-gravitating particles in the μSP system induce a finite time collapse, even for positive total energy.

Original languageEnglish
Pages (from-to)205-209
Number of pages5
JournalPhysica A: Statistical Mechanics and its Applications
Volume507
DOIs
Publication statusPublished - 2018 Oct 1

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Energy
Microcanonical Ensemble
energy
Blow-up
Three-dimensional

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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Short note on conditional collapse of self-gravitating system with positive total energy. / Ahn, Jaewook; Choi, Jung-il.

In: Physica A: Statistical Mechanics and its Applications, Vol. 507, 01.10.2018, p. 205-209.

Research output: Contribution to journalArticle

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