Thermodynamics with Pressure and Volume under Charged Particle Absorption

Abstract

We investigate the variation of the charged anti-de Sitter black hole under charged particle absorption by considering thermodynamic volume. The variation exactly corresponds to that expected as the first law of thermodynamics. Nevertheless, we find the decrease of the Bekenstein-Hawking entropy for extremal and near-extremal black holes under the absorption to be an irreversible process. This violation of the second law of thermodynamics is only found in the case considering thermodynamic volume. We test the weak cosmic censorship conjecture affected by the violation. Fortunately, the conjecture is still valid. However, extremal and near-extremal black holes do not change their configurations under the absorption. This is quite different from the case without thermodynamic volume.

14 pages, 5 figures

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• Thermodynamics and Weak Cosmic Censorship Conjecture in Nonlinear Electrodynamics Black Holes via Charged Particle Absorption
• Test the Weak Cosmic Supervision Conjecture in Dark Matter-Black Hole System
• The Weak Cosmic Censorship Conjecture in Hairy Kerr Black Holes
• The variational method, backreactions, and the absorption probability in Wald type problems
• Thermodynamics with pressure and volume of 4D Gauss-Bonnet AdS Black Holes under the scalar field
• Revisiting the Second Law and Weak Cosmic Censorship Conjecture in High-Dimensional Charged-AdS Black Hole: an Additional Assumption
• Evidence for NO violation of the second law in extended black hole thermodynamics
• Thermodynamics and overcharging problem in the extended phase spaces of charged AdS black holes with cloud of strings and quintessence under charged particle absorption
• Stability of horizon with pressure and volume of d-dimensional charged AdS black holes with cloud of strings and quintessence