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 |
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Pages (from-to) | 205-209 |
Number of pages | 5 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 507 |
DOIs | |
State | Published - 1 Oct 2018 |
Keywords
- Blow-up
- Smoluchowski–Poisson system
- Thermodynamics