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 the nonextensive parameter to a 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 κ-distribution in space plasmas and obtain equations of the κ-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 a significant effect on the nonextensivity in the systems. Several examples are given to illustrate the nonextensive effect introduced by the rotation.