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Galaxy Distributions and Tsallis Statistical Mechanics

2000/04/01 by Akika Nakamichi, Nakamichi, Akika, Izumi Joichi +5
Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Statistical Mechanics (cond-mat.stat-mech) #astro-ph #cond-mat.stat-mech #gr-qc

paper · pdf · doi:10.48550/arxiv.astro-ph/0004004

8 pages including 2 eps figures

arxiv created 2000/04/01 · arxiv updated 2009/11/30

Abstract

Large-scale astrophysical systems are non-extensive due to their long-range force of gravity. Here we show an approach toward the statistical mechanics of such self-gravitating systems (SGS). This is a generalization of the standard statistical mechanics based on the new definition of entropy; Tsallis statistical mechanics. Developing the composition of entropy and the generalized Euler relation, we investigate the galaxy distributions in count-in-cell method. This is applied to the data of CfA II South redshift survey.

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