The stationary state and gravitational temperature in a pure self-gravitating system

Yahui Zheng and Jiulin Du

Physica A: Statistical Mechanics and its Applications, 2015, vol. 420, issue C, 41-48

Abstract: The pure self-gravitating system in this paper refers to a multi-body gaseous system where the self-gravity plays a dominant role and the intermolecular interactions can be neglected. Therefore its total mass must be much more than a limit mass, the minimum mass of the system exhibiting long-range nature. The method to estimate the limit mass is then proposed. The nonequilibrium stationary state in the system is identical to the Tsallis equilibrium state, at which the Tsallis entropy approaches to its maximum. On basis of this idea, we introduce a new concept of temperature whose expression includes the gravitational potential and therefore we call it gravitational temperature. Accordingly, the gravitational thermal capacity is also introduced and it can be used to verify the thermodynamic stability of the astrophysical systems.

Keywords: Gravitational temperature; Nonequilibrium stationary state; Self-gravitating system (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:420:y:2015:i:c:p:41-48

DOI: 10.1016/j.physa.2014.10.086

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