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

Jaewook Ahn and Jung-Il Choi

Physica A: Statistical Mechanics and its Applications, 2018, vol. 507, issue C, 205-209

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.

Keywords: Smoluchowski–Poisson system; Thermodynamics; Blow-up (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:507:y:2018:i:c:p:205-209

DOI: 10.1016/j.physa.2018.04.108

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