Power-law stellar distributions

J.A.S. Lima and R.E. de Souza

Physica A: Statistical Mechanics and its Applications, 2005, vol. 350, issue 2, 303-314

Abstract: The density profiles and other quantities of physical interest for spherically symmetric systems are computed by assuming that a collisionless stellar gas may relax to the non-Gaussian power-law distribution suggested by the nonextensive kinetic theory. There are two different classes of solutions. The first class behaves like a subset of the polytropic Lane–Emden spheres, whereas the second one corresponds to a transition between two different potytropic indices. Unlike the isothermal Maxwellian sphere, the total mass and sizes of both classes are finite for a large range of the nonextensive q-parameter.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:350:y:2005:i:2:p:303-314

DOI: 10.1016/j.physa.2004.10.042

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