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arxiv: 1305.3379 · v1 · submitted 2013-05-15 · ✦ hep-th · cond-mat.other· gr-qc· hep-ph

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Maxwell's equal area law for charged Anti-deSitter black holes

Euro Spallucci , Anais Smailagic
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classification ✦ hep-th cond-mat.othergr-qchep-ph
keywords blackholesanti-desitterareachargedconstructionequalmaxwell
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In this paper we present the construction of the Maxwell equal area law in the Hawking temperature graph for a charged black hole in Anti-deSitter 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.

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