New type of phase transition in Reissner Nordstrom-AdS black hole and its thermodynamic geometry

被引：118

作者：

Banerjee, Rabin ^{[1
]}

Ghosh, Sumit ^{[1
]}

Roychowdhury, Dibakar ^{[1
]}

机构：

[1] SN Bose Natl Ctr Basic Sci, Kolkata 700098, India

来源：

PHYSICS LETTERS B | 2011年 / 696卷 / 1-2期

关键词：

Black hole; Phase transition; Ehrenfest's scheme;

D O I：

10.1016/j.physletb.2010.12.010

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The phase transition of a RN-AdS black hole is studied in details using Ehrenfest's equations. There is no discontinuity in entropy which signals a lack of any first order phase transition. We then show that although Ehrenfest's first equation is satisfied, the second is not, so that a true second order phase transition is also ruled out. However this deviation from the second Ehrenfest's equation, for a certain range of the black hole charge, indicates the existence of a new glassy type transition. We finally study the thermodynamic behaviour using state space geometry and find that the scalar curvature diverges exactly at those points where the heat capacity diverges. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：156 / 162

页数：7

共 19 条

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