The hydrostatic equilibrium and Tsallis equilibrium for self-gravitating systems

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.

7 pages, 9 References

References in corpus (5)

• Nonextensivity in nonequilibrium plasma systems with Coulombian long-range interactions
• The nonextensive parameter and Tsallis distribution for self-gravitating systems
• Dark matter distribution function from non-extensive statistical mechanics
• Jeans criterion and nonextensive velocity distribution function in kinetic theory
• Jeans criterion in nonextensive statistical mechanics

Cited by in corpus (11)

• Nonextensivity and the power-law distributions for the systems with self-gravitating long-range interactions
• Test of Nonextensive Statistical Mechanics by Solar Sound Speeds
• What does the nonextensive parameter q stand for in self-gravitating systems ?
• The viscosity of charged particles in the weakly ionized plasma with power-law distributions
• A new form of Tsallis distribution based on the probabilistically independent postulate
• Intensive variables in the framework of the non-extensive thermostatistics
• The stationary state and gravitational temperature in a pure self-gravitating system
• Two physical explanations of the nonextensive parameter in a self-gravitating system
• Stability analysis of the classical ideal gas in nonextensive statistics and the negative specific heat
• Nonextensivity and q-distribution of a relativistic gas under an external electromagnetic field
• The gravitational heat conduction and the hierarchical structure in solar interior