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He, P; He, P (reprint author), Jilin Univ, Coll Phys, Changchun 130012, Peoples R China.
Second-order solutions of the equilibrium statistical mechanics for self-gravitating systems
Source PublicationMONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Language英语
KeywordDark-matter Haloes Violent Relaxation Density Profiles Entropy Principle Universal Evolution Mergers States Law
AbstractIn 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.
2012
ISSN0035-8711
Volume421Issue:3Pages:2088-2093
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational Basic Research Program of China [2010CB832805] ; National Basic Research Program of China [2010CB832805] ; National Basic Research Program of China [2010CB832805] ; National Basic Research Program of China [2010CB832805]
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15133
Collection理论物理所科研产出_SCI论文
Corresponding AuthorHe, P (reprint author), Jilin Univ, Coll Phys, Changchun 130012, Peoples R China.
Recommended Citation
GB/T 7714
He, P,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.
APA He, P,&He, P .(2012).Second-order solutions of the equilibrium statistical mechanics for self-gravitating systems.MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,421(3),2088-2093.
MLA He, P,et al."Second-order solutions of the equilibrium statistical mechanics for self-gravitating systems".MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 421.3(2012):2088-2093.
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