English

The hydrostatic equilibrium and Tsallis equilibrium for self-gravitating systems

Astrophysics 2015-08-10 v2 Statistical Mechanics

Abstract

Self-gravitating systems are generally thought to behavior non-extensively due to the long-range nature of gravitational forces. We obtain a relation between the nonextensive parameter q of Tsallis statistics, the temperature gradient and the gravitational potential based on the equation of hydrostatic equilibrium of self-gravitating systems. It is suggested that the nonextensive parameter in Tsallis statistics has a clear physical meaning with regard to the non-isothermal nature of the systems with long-range interactions and Tsallis equilibrium distribution for the self-gravitating systems describes the property of hydrostatic equilibrium of the systems.

Keywords

Cite

@article{arxiv.astro-ph/0406271,
  title  = {The hydrostatic equilibrium and Tsallis equilibrium for self-gravitating systems},
  author = {Jiulin Du},
  journal= {arXiv preprint arXiv:astro-ph/0406271},
  year   = {2015}
}

Comments

7 pages, 9 References

R2 v1 2026-07-22T08:39:11.085Z