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

TL;DR

This paper investigates the nonextensive parameter in rotating astrophysical systems with power-law distributions, deriving a general equation that includes effects of rotation, forces, and plasma conditions, and illustrating the impact of rotation on nonextensivity.

Contribution

It extends the equation of the nonextensive q-parameter to complex rotating systems, incorporating various forces and deriving relations for space plasmas and gravitational systems.

Findings

The q-parameter depends on temperature, gravitational, electromagnetic, inertial, and Coriolis forces.

Rotation significantly influences the nonextensive behavior of astrophysical systems.

Derived equations for the kappa-parameter in space plasmas.

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.