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Kang, DB; He, P; Kang, DB (reprint author), Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China.
Fluid-like entropy and equilibrium statistical mechanics of self-gravitating systems
Source PublicationMONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Language英语
KeywordRelaxed Stellar-systems Dark-matter Haloes Star-clusters Thermodynamics Instability Evolution Galaxies Dynamics Models Family
AbstractThe statistical mechanics of self-gravitating systems has not been well understood, and still remains an open question so far. In a previous study by Kang & He, we showed that the fluid approximation may give a clue to investigate this problem further. In fact, there are indeed many dynamical similarities between self-gravitating and fluid systems. Based on a fluid-like entropy, that work explained successfully the outer density profiles of dark matter haloes, but there remain some drawbacks with the calculation concerning the extremizing process of the entropy. In the current paper, with the improved extremizing calculation - including an additional differential constraint of dynamical equilibrium and without any other assumptions, we confirm that statistical-mechanical methods can give a density profile with finite mass and finite energy. Moreover, this density profile is also consistent with the observational surface brightness of the elliptical galaxy NGC 3379. In our methods, the density profile is derived from the equation of state, which is obtained from the entropy principle but does not correspond to the maximum entropy of the system. Finally, we suggest an alternative entropy form, a hybrid of Boltzmann-Gibbs and Tsallis entropy, whose global maximum may give rise to this equation of state.
2011
ISSN0035-8711
Volume416Issue:1Pages:32-37
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
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/14283
Collection理论物理所科研产出_SCI论文
Corresponding AuthorKang, DB (reprint author), Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Kang, DB,He, P,Kang, DB . Fluid-like entropy and equilibrium statistical mechanics of self-gravitating systems[J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,2011,416(1):32-37.
APA Kang, DB,He, P,&Kang, DB .(2011).Fluid-like entropy and equilibrium statistical mechanics of self-gravitating systems.MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,416(1),32-37.
MLA Kang, DB,et al."Fluid-like entropy and equilibrium statistical mechanics of self-gravitating systems".MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 416.1(2011):32-37.
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