Thermodynamics of phase transition in higher dimensional AdS black holes

被引：0
作者：
Rabin Banerjee
Dibakar Roychowdhury
机构：
[1] S.N. Bose National Centre for Basic Sciences,
来源：
Journal of High Energy Physics | / 2011卷
关键词：
Black Holes; Classical Theories of Gravity;
D O I：
暂无
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摘要：
We investigate the thermodynamics of phase transition for (n + 1) dimensional Reissner Nordstrom (RN)-AdS black holes using a grand canonical ensemble. This phase transition is characterized by a discontinuity in specific heat. The phase transition occurs from a lower mass black hole with negative specific heat to a higher mass black hole with positive specific heat. By exploring Ehrenfest’s scheme we show that this is a second order phase transition. Explicit expressions for the critical temperature and critical mass are derived. In appropriate limits the results for (n + 1) dimensional Schwarzschild AdS black holes are obtained.
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[1]  
Bardeen JM(1973)The four laws of black hole mechanics Commun. Math. Phys. 31 161-undefined
[2]  
Carter B(1983)Thermodynamics of black holes in Anti-de Sitter space Commun. Math. Phys. 87 577-undefined
[3]  
Hawking S(2002)Gauss-Bonnet black holes in AdS spaces Phys. Rev. D 65 084014-undefined
[4]  
Hawking S(2005)Spacetime structure of static solutions in Gauss-Bonnet gravity: Charged case Phys. Rev. D 72 064007-undefined
[5]  
Page DN(2007)Phase transitions in higher derivative gravity JHEP 04 014-undefined
[6]  
Cai R-G(1999)Phases of R charged black holes, spinning branes and strongly coupled gauge theories JHEP 04 024-undefined
[7]  
Torii T(2001)The evolution of unstable black holes in Anti-de Sitter space JHEP 08 018-undefined
[8]  
Maeda H(2007)Phase transitions in higher derivative gravity and gauge theory: R -charged black holes JHEP 09 026-undefined
[9]  
Dey TK(2007)Phase transition of electrically charged Ricci-flat black holes JHEP 07 047-undefined
[10]  
Mukherji S(2004)Thermodynamics and stability of hyperbolic charged black holes Phys. Rev. D 70 064013-undefined
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