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

Jaewook Ahn; Jung Il Choi

doi:10.1016/j.physa.2018.04.108

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

Jaewook Ahn, Jung Il Choi

Department of Computational Science and Engineering

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	205-209
Number of pages	5
Journal	Physica A: Statistical Mechanics and its Applications
Volume	507
DOIs	https://doi.org/10.1016/j.physa.2018.04.108
Publication status	Published - 2018 Oct 1

Bibliographical note

Funding Information:
This work was supported by the National Research Foundation of Korea (NRF), South Korea grant funded by the Korean government (Ministry of Science and ICT) (No. NRF-20151009350).

Funding Information:
This work was supported by the National Research Foundation of Korea (NRF), South Korea grant funded by the Korean government (Ministry of Science and ICT) (No. NRF-20151009350 ).

Publisher Copyright:
© 2018 Elsevier B.V.

All Science Journal Classification (ASJC) codes

Statistics and Probability
Condensed Matter Physics

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10.1016/j.physa.2018.04.108

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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.",

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AU - Choi, Jung Il

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

Abstract

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