Maxwellʼs equal-area law for charged Anti-de Sitter black holes

By E. Spallucci, A. Smailagic. 2013

191 citations recorded by the source corpus.

Abstract In this Letter we present the construction of the Maxwell equal-area law in the Hawking temperature graph for a charged black hole in Anti-de Sitter background. We are able to find exact solution for the corresponding isotherm and entropies for “gaseous” (large) black holes and “liquid” (near-extremal) black holes. Isothermal construction removes the unphysical, negative heat capacity, regions. Furthermore, extremal black holes turn out to be dual to un-shrinkable molecules of Van der Waals real fluid, which may explain their thermodynamical stability.

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

View Paper: https://www.semanticscholar.org/paper/856fb051ad926c1201f6939e0a44c0831df46558

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Citations in the corpus

Black hole chemistry: thermodynamics with Lambda (2016, methodology): “d by dierent critical exponents is given in Sec.4.5. The coexistence line is governed by the behavior of the Gibbs free energy (the bottom line of the swallowtail). Alternatively, it can be obtained [142] by imposing Maxwell’s equal area law, which states that the two phases coexist when the areas a”
Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes (2019, unknown): “The first formula was given by constructing the equal area law on an isobaric curve in the T -S diagram [72] T̃ 2 = P̃ (3− √ P̃ )/2, (96) or, equivalently √ P̃ = 1− 2 cos ( arccos(1− T̃ (2)) + π 3 ) .”