Thermodynamics and Phase transition of the Reissner-Nordstr\"om Black Hole surrounded by quintessence

Abstract

We investigate thermodynamics and Phase transition of the Reissner-Nordstr\"om black hole surrounded by quintessence. Using thermodynamical laws of black holes, we derive the expressions of some thermodynamics quantities for the Reissner-Nordstr\"om black hole surrounded by quintessence. The variations of the temperature and heat capacity with the entropy were plotted for different values of the state parameter related to the quintessence, $\omega_{q}$, and the normalization constant related to the density of quintessence $c$. We show that when varying the entropy of the black hole a phase transition is observed in the black hole. Moreover, when increasing the density of quintessence, the transition point is shifted to lower entropy and the temperature of the black hole decreases.