Novel equal area law and analytical charge-electric potential criticality for charged Anti-de Sitter black holes
arXiv:1901.06617 · doi:10.1016/j.physletb.2019.04.010
Abstract
We study the equal area law and charge-electric potential criticality for the charged Anti-de Sitter black holes. Considering that the black hole charge is a double-valued function of the electric potential, we investigate the equal area law in detail. We find that the equal area law has two different expressions when the thermodynamic quantities are near the critical point and far from the critical point. For these two different cases, we obtain the analytical coexistence curve for the low and high electric potential black hole phases by using these two expressions of the equal area law. Based on the result, we analytically study the phase diagram and the critical phenomena in the charge-electric potential plane.
10 pages, 3 figures, structures are re-organized
References in corpus (6)
- Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
- Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
- van der Waals like behaviour of topological AdS black holes in massive gravity
- New perspective for black hole thermodynamics in Gauss-Bonnet-Born-Infeld massive gravity
- Clapeyron equations and fitting formula of the coexistence curve in the extended phase space of charged AdS black holes
- Maxwell's equal-area law for Gauss-Bonnet Anti-de Sitter black holes