2009/03/03 by J. M. Silva, R. de Souza, Silva, J. M. +4 · 2 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Astrophysics of Galaxies (astro-ph.GA) #Complex Systems and Time Series Analysis #FOS: Physical sciences #Fractional Differential Equations Solutions #Statistical Mechanics and Entropy #astro-ph.GA
paper · pdf · doi:10.48550/arxiv.0903.0423
20 pages, 5 figures, 1 table
arxiv created 2009/03/03 · openalex publication_date 2009/03/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The structure of globular clusters and elliptical galaxies are described in an unified way through a new class of lowered models inspired on the nonextensive kinetic theory. These power law models are specified by a single parameter q which quantifies to what extent they depart from the class of lowered stellar distributions discussed by Michie and King. For q equal to unity, the Michie-King profiles are recovered. However, for q smaller than unity there is a gradual modification in the shape of the density profiles which depends on the degree of tidal damage imposed on the model, thereby also providing a good fit for globular clusters. It is also shown that a subclass of these models, those with a deeper potential and q slightly less than unity, present a distribution resembling the de Vaucoulers r1/4 profile which yields a good description of the structure of elliptical galaxies. This subset of models follows this trend, with a slight departure over nearly 10 orders of magnitudes.