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

By S. Hendi, M. Vahidinia. 2012

286 citations recorded by the source corpus.

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 PcvcTc is independent of spacetime dimensions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/87c554adb8c475562ab4726c157e4694eae12465

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Citations in the corpus

Multiple reentrant phase transitions and triple points in Lovelock thermodynamics (2014, background): “The idea is that the cosmological constant Λ be considered as a thermodynamic variable [2] analogous to pressure in the first law [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18].”
Holographic entanglement entropy and the extended phase structure of STU black holes (2015, background): “In a recent series of papers, the analogy with the Van der Waals gas has been made more precise in the framework of extended black hole thermodynamics [8–25].”