$P-V$ Criticality In the Extended Phase Space of Charged Accelerating AdS Black Holes

Abstract

In this paper, we investigate the $P-V$ criticality and phase transition of charged accelerating AdS black holes in the extended thermodynamic phase space in analogy between black hole system and Van der Waals liquid-gas system, where the cosmological constant $\Lambda$ is treated as a thermodynamical variable interpreted as dynamic pressure and its conjugate quantity is the thermodynamic volume of the black holes. When the electric charge vanishes, we find that no $P-V$ criticality will appear but the Hawking-Page like phase transition will be present, just as what Schwarzschild-AdS black holes behave like. For the charged case, the $P-V$ criticality appears and the accelerating black holes will undergo a small black hole/large phase transition under the condition that the acceleration parameter $A$ and the horizon radius $r_h$ meet a certain simple relation $A{r}_h=a$, where $a$ is a constant in our discussion. To make $P-V$ criticality appear, there exists an upper bounds for constant $a$. When $P-V$ criticality appears, we calculate the critical pressure $P_c$, critical temperature $T_c$ and critical specific volume $r_c$, and we find that $\frac{P_c{r}_c}{T_c}$ is an universal number.

14pages,5 figures,references added

References in corpus (5)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• P-V criticality in the extended phase space of black holes in massive gravity
• Critical behavior of charged Gauss-Bonnet AdS black holes in the grand canonical ensemble
• Phase transitions of hairy black holes in massive gravity and thermodynamic behavior of charged AdS black holes in an extended phase space
• Search for CP Violation in the Decay $D^{+}\to K_S^0{K}^{+}$

Cited by in corpus (4)

• Thermodynamic stability and P-V criticality of nonsingular-AdS black holes endowed with clouds of strings
• Charged Accelerating BTZ black holes
• The extended phase space thermodynamics of Planck-scale-corrected Reissner-Nordström-anti-de Sitter black hole
• The generalization of charged AdS black hole specific volume and number density