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Power-law stellar distributions

Author

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  • Lima, J.A.S.
  • de Souza, R.E.

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.

Suggested Citation

  • Lima, J.A.S. & de Souza, R.E., 2005. "Power-law stellar distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 303-314.
    • Handle: RePEc:eee:phsmap:v:350:y:2005:i:2:p:303-314
    DOI: 10.1016/j.physa.2004.10.042
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    References listed on IDEAS

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    1. Taruya, Atsushi & Sakagami, Masa-aki, 2002. "Gravothermal catastrophe and Tsallis’ generalized entropy of self-gravitating systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 307(1), pages 185-206.
    2. Okamoto, Ryosuke, 2000. "The system of towns with spatial public goods," Regional Science and Urban Economics, Elsevier, vol. 30(6), pages 627-637, December.
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