Extended phase space thermodynamics and P - V criticality of black holes with a nonlinear source

被引:287
|
作者
Hendi, S. H. [1 ,2 ,3 ]
Vahidinia, M. H. [1 ,2 ,4 ]
机构
[1] Shiraz Univ, Coll Sci, Dept Phys, Shiraz 71454, Iran
[2] Shiraz Univ, Coll Sci, Biruni Observ, Shiraz 71454, Iran
[3] RIAAM, Maragha, Iran
[4] Salman Farsi Univ Kazerun, Coll Sci, Dept Phys, Kazerun 7319673544, Iran
来源
PHYSICAL REVIEW D | 2013年 / 88卷 / 08期
关键词
QUANTUM ELECTRODYNAMICS; BRANES; INVARIANCE;
D O I
10.1103/PhysRevD.88.084045
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this paper, we consider the solutions of Einstein gravity in the presence of a generalized Maxwell theory, namely power Maxwell invariant. First, we investigate the analogy of nonlinear charged black hole solutions with the Van der Waals liquid-gas system in the extended phase space where the cosmological constant appear as pressure. Then, we plot isotherm P - V diagram and study the thermodynamics of AdS black hole in the (grand canonical) canonical ensemble in which (potential) charge is fixed at infinity. Interestingly, we find the phase transition occurs in the both of canonical and grand canonical ensembles in contrast to Reissner-Nordstrom black hole in Maxwell theory which only admits canonical ensemble phase transition. Moreover, we calculate the critical exponents and find their values are the same as those in mean field theory. Besides, we find in the grand canonical ensembles universal ratio P(c)v(c)/T-c is independent of spacetime dimensions.
引用
收藏
页数:11
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