Holography, thermodynamics, and fluctuations of charged AdS black holes
Holography, thermodynamics, and fluctuations of charged AdS black holes
复制标题
DOI:
10.1103/physrevd.60.104026
复制
发表时间:
1999-04
影响因子:
5
通讯作者:
A. Chamblin;R. Emparan;Clifford V. Johnson;R. Myers
中科院分区:
文献类型:
--
作者:
A. Chamblin;R. Emparan;Clifford V. Johnson;R. Myers
The physical properties of Reissner-Nordstrom black holes in (n11)-dimensional anti-de Sitter spacetime are related, by a holographic map, to the physics of a class of n-dimensional field theories coupled to a background global current. Motivated by that fact, and the recent observations of the striking similarity between the thermodynamic phase structure of these black holes ~in the canonical ensemble! and that of the van der Waals-Maxwell liquid-gas system, we explore the physics in more detail. We study fluctuations and stability within the equilibrium thermodynamics, examining the specific heats and electrical permittivity of the holes, and consider the analogue of the Clayperon equation at the phase boundaries. Consequently, we refine the phase diagrams in the canonical and grand canonical ensembles. We study the interesting physics in the neighborhood of the critical point in the canonical ensemble. There is a second order phase transition found there, and that region is characterized by a Landau-Ginzburg model with A3 potential. The holographically dual field theories provide the description of the microscopic degrees of freedom which underlie all of the thermodynamics, as can be seen by examining the form of the microscopic fluctuations. @S0556-2821~99!06820-4#