Phase structure of quantum corrected charged AdS black hole surrounded by perfect fluid dark matter

Abstract

We derive a solution of a quantum corrected charged AdS black hole surrounded by perfect fluid dark matter (PFDM). The thermodynamic quantities and the modified first law of thermodynamics are obtained by considering the black hole mass as chemical enthalpy rather than energy. A first order phase transition (small to large black holes) is recognized from the swallowtail in the Gibbs free energy $G$ versus Hawking temperature $T_H$ graph. The black hole exhibits the characteristic “standard liquid/gas behavior” of van der Waals fluids on the $P-V$ graph. By further studying the heat capacity of the black hole, we identify a second order phase transition at the event horizons $x_1$ and $x_2$, respectively. Thus, we demonstrate that a quantum corrected charged AdS black hole surrounded by PFDM can be studied for its thermodynamic stability and phase transition from the perspective of black hole chemistry.