An approach to the quasi-equilibrium state of a self-gravitating system

被引:0
|
作者
Azizi, Azizollah [1 ]
Khodahami, Amir A. [1 ]
机构
[1] Shiraz Univ, Dept Phys, Shiraz 7194984795, Iran
关键词
Quasi-equilibrium; Quasi-stationary; Self-gravitating systems; Gravitating systems; STATISTICAL-MECHANICS; THERMODYNAMICS; ENTROPY; INSTABILITY;
D O I
10.1016/j.physletb.2022.137334
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We propose an approach to find out when a self-gravitating system is in a quasi-equilibrium state. This approach is based on a comparison between two quantities identifying behavior of the system: a measure of interactions intensity and the area. Gravitational scattering cross section of the system, defined by using the two-particle scattering cross section formula, is considered as the measure of interactions intensity here. Aquasi-equilibrium state of such system is considered as a state when there is a balance between these two quantities. As a result, we obtain an equation which relates density and temperature for such a system in the non-relativistic classical limit. This equation is consistent with the TOV equation as expected. (C) 2022 The Author(s). Published by Elsevier B.V.
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页数:7
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