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Lu, JX; Roy, S; Xiao, ZG; Lu, JX (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China.
Phase structure of black branes in grand canonical ensemble
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
Language英语
KeywordP-branes Holes Thermodynamics Entropy Cavity Field
AbstractThis is a companion paper of our previous work [1] where we studied the thermodynamics and phase structure of asymptotically flat black p-branes in a cavity in arbitrary dimensions D in a canonical ensemble. In this work we study the thermodynamics and phase structure of the same in a grand canonical ensemble. Since the boundary data in two cases are different (for the grand canonical ensemble boundary potential is fixed instead of the charge as in canonical ensemble) the stability analysis and the phase structure in the two cases are quite different. In particular, we find that there exists an analog of one-variable analysis as in canonical ensemble, which gives the same stability condition as the rather complicated known (but generalized from black holes to the present case) two-variable analysis. When certain condition for the fixed potential is satisfied, the phase structure of charged black p-branes is in some sense similar to that of the zero charge black p-branes in canonical ensemble up to a certain temperature. The new feature in the present case is that above this temperature, unlike the zero-charge case, the stable brane phase no longer exists and 'hot flat space' is the stable phase here. In the grand canonical ensemble there is an analog of Hawking-Page transition, even for the charged black p-brane, as opposed to the canonical ensemble. Our study applies to non-dilatonic as well as dilatonic black p-branes in D space-time dimensions.
2011
ISSN1126-6708
Issue5Pages:91
Subject AreaPhysics
Indexed BySCI
Funding OrganizationChinese Academy of Sciences; 973 Program [2007CB815401]; NSF of China [10975129] ; Chinese Academy of Sciences; 973 Program [2007CB815401]; NSF of China [10975129] ; Chinese Academy of Sciences; 973 Program [2007CB815401]; NSF of China [10975129] ; Chinese Academy of Sciences; 973 Program [2007CB815401]; NSF of China [10975129]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/14358
Collection理论物理所科研产出_SCI期刊论文
Corresponding AuthorLu, JX (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China.
Recommended Citation
GB/T 7714
Lu, JX,Roy, S,Xiao, ZG,et al. Phase structure of black branes in grand canonical ensemble[J]. JOURNAL OF HIGH ENERGY PHYSICS,2011(5):91.
APA Lu, JX,Roy, S,Xiao, ZG,&Lu, JX .(2011).Phase structure of black branes in grand canonical ensemble.JOURNAL OF HIGH ENERGY PHYSICS(5),91.
MLA Lu, JX,et al."Phase structure of black branes in grand canonical ensemble".JOURNAL OF HIGH ENERGY PHYSICS .5(2011):91.
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