Derives perturbative 4D nonminimal Maxwell-AdS black hole and reports Van der Waals-like behavior plus Hawking-Page transitions in its thermodynamics.
Van der Waals phase transition in the framework of holography
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abstract
Phase structure of the quintessence Reissner-Nordstr\"{o}m-AdS black hole is probed with the nonlocal observables such as holographic entanglement entropy and two point correlation function. Our result shows that, as the case of the thermal entropy, both the observables exhibit the similar Van der Waals-like phase transition. To reinforce the conclusion, we further check the equal area law for the first order phase transition and critical exponent of the heat capacity for the second order phase transition. We also discuss the effect of the state parameter on the phase structure of the nonlocal observables.
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Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reentrant transitions, and triple points.
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Thermodynamic Behavior of a 4D Nonminimal Maxwell-AdS Black Hole
Derives perturbative 4D nonminimal Maxwell-AdS black hole and reports Van der Waals-like behavior plus Hawking-Page transitions in its thermodynamics.