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题名: Second-order solutions of the equilibrium statistical mechanics for self-gravitating systems
作者: He, P
刊名: MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
出版日期: 2012
卷号: 421, 期号:3, 页码:2088-2093
关键词: DARK-MATTER HALOES ;  VIOLENT RELAXATION ;  DENSITY PROFILES ;  ENTROPY PRINCIPLE ;  UNIVERSAL ;  EVOLUTION ;  MERGERS ;  STATES ;  LAW
学科分类: Physics
通讯作者: He, P (reprint author), Jilin Univ, Coll Phys, Changchun 130012, Peoples R China.
部门归属: [He, Ping] Jilin Univ, Coll Phys, Changchun 130012, Peoples R China; [He, Ping] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China
英文摘要: In a previous study, we formulated a framework for the entropy-based equilibrium statistical mechanics for self-gravitating systems. This theory is based on the BoltzmannGibbs entropy and includes the generalized virial equations as additional constraints. With the truncated distribution function to the lowest order, we derived a set of second-order equations for the equilibrium states of the system. In this work, the numerical solutions of these equations are investigated. It is found that there are three types of solutions for these equations. Both the isothermal and divergent solutions are thermally unstable and have unconfined density profiles with infinite mass, energy and spatial extent. The convergent solutions, however, seem to be reasonable. Although the results cannot match the simulation data well, because of the truncations of the distribution function and its moment equations, these lowest-order convergent solutions show that the density profiles of the system are confined, the velocity dispersions are variable functions of the radius, and the velocity distributions are also anisotropic in different directions. The convergent solutions also indicate that the statistical equilibrium of self-gravitating systems is by no means the thermodynamic equilibrium. These solutions are just the lowest-order approximation, but they have already manifested the qualitative success of our theory. We expect that higher-order solutions of our statistical-mechanical theory will give much better agreement with the simulation results concerning dark matter haloes.
资助者: National Basic Research Program of China [2010CB832805]
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000302620500020
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15133
Appears in Collections:理论物理所2012年知识产出_期刊论文

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Recommended Citation:
He, P. Second-order solutions of the equilibrium statistical mechanics for self-gravitating systems[J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,2012,421(3):2088-2093.
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