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Thermodynamic geometry and critical behavior of black holes
Shen, Jianyong; Cai, Rong-Gen; Wang, Bin; Su, Ru-Keng; Shen, J , Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China
2007
发表期刊INTERNATIONAL JOURNAL OF MODERN PHYSICS A
ISSN0217-751X
卷号22期号:1页码:11-27
摘要Based on the observations that there exists an analogy between the Reissner-Nordstrom-Anti-de Sitter (RN-AdS) black holes and the van der Waals-Maxwell liquid-gas system, in which a correspondence of variables is (phi; q) <-> (V, P), we study the Ruppeiner geometry, defined as Hessian matrix of black hole entropy with respect to the internal energy (not the mass) of black hole and electric potential (angular velocity), for the RN, Kerr and RN-AdS black holes. It is found that the geometry is curved and the scalar curvature goes to negative infinity at the Davies' phase transition point for the RN and Kerr black holes. Our result for the RN-AdS black holes is also in good agreement with the one about phase transition and its critical behavior in the literature.
部门归属Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; China Ctr Adv Sci & Technol, World Lab, Beijing 100080, Peoples R China
关键词Phase-transitions Scaling Laws Fluctuations Space World
学科领域Physics
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收录类别SCI
WOS记录号WOS:000250861400002
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被引频次:98[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/5798
专题1978-2010年知识产出
通讯作者Shen, J , Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China
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GB/T 7714
Shen, Jianyong,Cai, Rong-Gen,Wang, Bin,et al. Thermodynamic geometry and critical behavior of black holes[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A,2007,22(1):11-27.
APA Shen, Jianyong,Cai, Rong-Gen,Wang, Bin,Su, Ru-Keng,&Shen, J , Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China.(2007).Thermodynamic geometry and critical behavior of black holes.INTERNATIONAL JOURNAL OF MODERN PHYSICS A,22(1),11-27.
MLA Shen, Jianyong,et al."Thermodynamic geometry and critical behavior of black holes".INTERNATIONAL JOURNAL OF MODERN PHYSICS A 22.1(2007):11-27.
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