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

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. Thee method to estimate the limit mass is then proposed. The nonequlibrium 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 the 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.

arXiv comment12 pages, 25 references

References in corpus (17)

• Negative Specific Heat in Astronomy, Physics and Chemistry
• Nonextensive Thermostatistics and the H-Theorem
• Nonextensive thermodynamic relations
• The nonextensive parameter and Tsallis distribution for self-gravitating systems
• A nonextensive entropy approach to solar wind intermittency
• Nonextensivity and the power-law distributions for the systems with self-gravitating long-range interactions
• Dust-acoustic instability driven by drifting ions and electrons in the dust plasma with Lorentzian kappa distribution
• Gravothermal Catastrophe and Generalized Entropy of Self-Gravitating Systems
• Test of Nonextensive Statistical Mechanics by Solar Sound Speeds
• Nonextensive theory of dark matter and gas density profiles
• Spherical galaxy models as equilibrium configurations in nonextensive statistics
• Transport coefficients in Lorentz plasmas with the power-law kappa-distribution
• On the thermodynamic stability conditions of Tsallis' entropy
• The nonextensive parameter for nonequilibrium plasmas in magnetic field
• Dust-acoustic waves and stability in the permeating dusty plasma: II. Power-law distributions
• The hydrostatic equilibrium and Tsallis equilibrium for self-gravitating systems
• The gravitational heat conduction and the hierarchical structure in solar interior

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• Thermodynamic stability criterion and fluctuation theory in nonextensive thermodynamics
• The limit behavior of the evolution of Tsallis entropy in self-gravitating systems
• Challenges and prospects for better measurements of the CMB intensity spectrum
• The anomalous distributions and Soret coefficient in a nonequilibrium colloid system