Maxwell's equal area law for Lovelock Thermodynamics

Abstract

We present the construction of Maxwell's equal area law for the Guass-Bonnet AdS black holes in $d=5,6$ and third order Lovelock AdS black holes in $d=7,8$. The equal area law can be used to find the number and location of the points of intersection in the plots of Gibbs free energy, so that we can get the thermodynamically preferred solution which corresponds to the first order phase transition. We obtain the radius of the small and large black holes in the phase transition which share the same Gibbs free energy. The case with two critical points is explored in much more details. The latent heat is also studied.

16 pages, 10 figures. V2: minor corrections and new references. V3: more discussion about the relationship between latent heat and temperature added. Accepted by IJMPD

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• Black hole chemistry: thermodynamics with Lambda
• Microscopic structures and thermal stability of black holes conformally coupled to scalar fields in five dimensions
• Black hole thermodynamics and heat engines in conformal gravity
• Hawking evaporation of Einstein-Gauss-Bonnet AdS black holes in $D⩾4$ dimensions
• Parametric phase transition for Gauss-Bonnet AdS black hole
• Black hole evaporation in Lovelock gravity with diverse dimensions
• Thermodynamics and holographic entanglement entropy for spherical black holes in 5D Gauss-Bonnet gravity
• Validity of Maxwell Equal Area Law for Black Holes Conformally Coupled to Scalar Fields in ${\text{AdS}}_5$ Spacetime
• Black hole evaporation in Conformal (Weyl) gravity
• Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space
• Slowly rotating Einstein-Maxwell-dilaton black hole and some aspects of its thermodynamics
• Insight into the Microstructure of FRW Universe from a $P$-$V$ Phase Transition
• Thermodynamic phase transition and winding number for the third-order Lovelock black hole
• Analytic phase structures and thermodynamic curvature for the charged AdS black hole in alternative phase space
• Temporal and spatial chaos in the Kerr-AdS black hole in an extended phase space
• On the thermodynamic phase structure of conformal gravity
• Entanglement growth during Van der Waals like phase transition
• A new measure of thermal micro-behavior for the AdS black hole
• Gauss-Bonnet modification to Hawking evaporation of AdS black holes in massive gravity