The generalization of charged AdS black hole specific volume and number density

Abstract

In this paper, by proposing a generalized specif ic volume, we restudy the P − V criticality of charged AdS black holes in the extended phase space. The results show that most of the previous conclusions can be generalized without change, but the ratioρ c should be 3α/16 in general case. Further research on the thermodynamical phase transition of black hole leads us to a natural interpretation of our assumption, and more black hole properties can be generalized. Finally, we study the number density for charged AdS black hole in higher dimensions, the results show the necessity of our assumption.

Configurational entropy of charged AdS black holes

“…[18] for investigation of measure of the microscopic degrees of freedom of black holes. It was extensively studied for f (R) AdS black holes and Gauss-Bonnet AdS black holes [19] and for the generalization of charged AdS black hole specific volume and number density [20].…”