Thermodynamics of self-gravitating systems
- 10 September 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 66 (3), 036105
- https://doi.org/10.1103/physreve.66.036105
Abstract
We study the thermodynamics and the collapse of a self-gravitating gas of Brownian particles. We consider a high-friction limit in order to simplify the problem. This results in the Smoluchowski-Poisson system. Below a critical energy or below a critical temperature, there is no equilibrium state and the system develops a self-similar collapse leading to a finite time singularity. In the microcanonical ensemble, this corresponds to a “gravothermal catastrophe” and in the canonical ensemble to an “isothermal collapse.” Self-similar solutions are investigated analytically and numerically.Keywords
Other Versions
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