The nonextensive parameter for the rotating astrophysical systems with power-law distributions

Abstract

We study the nonextensive parameter for the rotating astrophysical systems with power-law distributions, including both the rotating self-gravitating system and the rotating space plasma. We extend the equation of nonextensive parameter to complex system with arbitrary force field, and derive a general equation of the q-parameter, most generally including both the rotating self-gravitating systems and the rotating space plasmas. At the same time, we reproduce the kappa-distribution in space plasmas and obtain equations of the kappa-parameter. We show that the q-parameter is related not only to the temperature gradient, the gravitational force and the electromagnetic force, but also to the inertial centrifugal force and Coriolis force. Thus the rotation introduces significant effect on nonextensivity in the systems. Several examples are given to illustrate the nonextensive effect introduced by the rotation.

11 pages, 56 references

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• Nonextensive theory of dark matter and gas density profiles
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• The ion acoustic solitary waves in the four component complex plasma with a Cairns-Tsallis distribution
• Diffusion and heat conductivity in the weakly ionized plasma with power-law q-distributions in nonextensive statistics
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• Effect of magnetic field on viscosity in the weakly ionized and magnetized plasma with power-law q-distributions in nonextensive statiostics
• Small amplitude ion-acoustic solitary waves in a four-component magneto-rotating plasma with a modified Cairns-Tsallis distribution
• Thermodynamic stability criterion and fluctuation theory in nonextensive thermodynamics
• The current density and transport coefficients in the fully ionized plasma with q-distributions in nonextensive statistics
• Effect of magnetic field on transports of charged particles in the weakly ionized plasma with power-law q-distributions in nonextensive statistics
• The collision frequency of electron-neutral-particle in the weakly ionized plasma with the power-law velocity distribution
• Heat conductivity and Dufour effects in the weakly ionized, magnetized and kappa-distributed plasma
• A nonextensive approach for understanding the van der Waals' equation
• The collision frequencies of charged particles in the complex plasmas with the non-Maxwellian velocity distributions