Second order phase transition and thermodynamic geometry in Kerr-AdS black holes

被引：113

作者：

Banerjee, Rabin ^{[1
]}

Modak, Sujoy Kumar ^{[1
]}

Samanta, Saurav ^{[2
]}

机构：

[1] SN Bose Natl Ctr Basic Sci, Sect 3, Kolkata 700098, India

[2] Narasinha Dutt Coll, Howrah 711101, India

来源：

PHYSICAL REVIEW D | 2011年 / 84卷 / 06期

关键词：

EQUILIBRIUM THERMODYNAMICS; FLUCTUATION THEORY; CRITICAL-BEHAVIOR; METRIC GEOMETRY; SECOND LAW; SPACE; ENTROPY;

D O I：

10.1103/PhysRevD.84.064024

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We discuss a scheme based on Ehrenfest-like equations to exhibit and classify transitions between two phases (with "smaller'' and "larger'' masses) of Kerr-AdS black holes. We show that for fixed angular velocity this phase transition is of second order as both Ehrenfest's equations are satisfied. Finally, we make a close connection of the results found from this analysis with those obtained from the thermodynamic state space geometry approach.

引用

页数：8

共 43 条

[1] Geometry of higher-dimensional black hole thermodynamics -: art. no. 024017 [J].

Åman, JE ;

Pidokrajt, N .

PHYSICAL REVIEW D, 2006, 73 (02)

[2] Geometry of black hole thermodynamics [J].

Åman, JE ;

Bengtsson, I ;

Pidokrajt, N .

GENERAL RELATIVITY AND GRAVITATION, 2003, 35 (10) :1733-1743

[3]

AMAN JE, ARXIV10045550

[4]

[Anonymous], ARXIV07114328

[5] Glassy phase transition and stability in black holes [J].

Banerjee, Rabin ;

Modak, Sujoy Kumar ;

Samanta, Saurav .

EUROPEAN PHYSICAL JOURNAL C, 2010, 70 (1-2) :317-328

[6] 4 LAWS OF BLACK HOLE MECHANICS [J].

BARDEEN, JM ;

CARTER, B ;

HAWKING, SW .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1973, 31 (02) :161-170

[7] Generalized Smarr relation for Kerr-AdS black holes from improved surface integrals -: art. no. 044016 [J].

Barnich, G ;

Compère, G .

PHYSICAL REVIEW D, 2005, 71 (04) :044016-1

[8] Generalized Smarr relation for Kerr-AdS black holes from improved surface integrals (vol 71, pg 044016, 2005) -: art. no. 029904 [J].

Barnich, G ;

Compère, G .

PHYSICAL REVIEW D, 2006, 73 (02)

[9] GENERALIZED SECOND LAW OF THERMODYNAMICS IN BLACK-HOLE PHYSICS [J].

BEKENSTE.JD .

PHYSICAL REVIEW D, 1974, 9 (12) :3292-3300

[10] BLACK HOLES AND SECOND LAW [J].

BEKENSTEIN, JD .

LETTERE AL NUOVO CIMENTO, 1972, 4 (15) :737-+

← 1 2 3 4 5 →