期刊
NEW ASTRONOMY
卷 10, 期 5, 页码 379-384出版社
ELSEVIER
DOI: 10.1016/j.newast.2005.01.005
关键词
cosmology : dark matter; gravitation; galaxies : kinematics and dynamics; cosmology : theory; methods : analytical
We present an analytical and numerical study of the velocity distribution function of self gravitating collisionless particles, which include dark matter and star clusters. We show that the velocity distribution derived through the Eddington's formula is identical to the analytical one derived directly from the generalized entropy of non-extensive statistical mechanics. This implies that self gravitating collisionless structures are to be described by non-extensive thermo-statistics. We identify a connection between the density slope of dark matter structures, gamma, from rho similar to r(-gamma), and the entropic index, q, from the generalized entropy, S, Our numerical result confirms the analytical findings of earlier studies and clarifies which is the correct connection between the density slope and the entropic index. We use this result to conclude that from a fundamental statistical mechanics point of view the central density slope of self gravitating collisionless dark matter structures is not constrained, and even cored dark matter structures are allowed with gamma = 0. We find that the outer density slope is bounded by gamma = 10/3, (C) 2005 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据