Effects of dark energy on P–V criticality of charged AdS black holes

Abstract

In this Letter, we investigate the effects of dark energy on P − V criticality of charged AdS black holes by considering the case of the RN-AdS black holes surrounded by quintessence. By treating the cosmological constant as thermodynamic pressure, we study its thermodynamics in the extended phase space. It is shown that quintessence dark energy does not affect the existence of small/large black hole phase transition. For the case ω q = −2/3 we derive analytic expressions of critical physical quantities, while for cases ω q = −2/3 we appeal to numerical method for help. It is shown that quintessence dark energy affects the critical physical quantities near the critical point. Critical exponents are also calculated. They are exactly the same as those obtained before for arbitrary other AdS black holes, which implies that quintessence dark energy does not change the critical exponents.

Continuous phase transition and microstructure of charged AdS black hole with quintessence

“…Near the critical point, the heat capacity will diverge. It also shares the same critical phenomena and scaling laws [69,71]. For there are the dark energy corresponding state parameter α and state equation p = ωρ corresponding parameter ω in the charged AdS black holes with cloud of string and quintessence(charged AdSQ black hole).…”

“…It also shares the same critical behavior as that of the vdW fluid. Especially, when the parameter ω = −2/3, the analytical critical point can be obtained [69] r c First, we use Maxwell equal-area law to study the condition of phase transition occurs with Q, α and ω fixed and with differential conjugate variables P − V and T − S.…”

Q– $$\Phi $$ Φ criticality in the extended phase space of $$(n+1)$$ ( n + 1 ) -dimensional RN-AdS black holes

“…This traditional method has been extensively applied to the characterization of general thermodynamic systems and also to the establishing of complete simulation for AdS spacetime black hole thermodynamic liquid/gas system [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45].…”

A note on Maxwell’s equal area law for black hole phase transition

“…With this interpretation of the cosmological constant, many works on the AdS black hole phase transition were carried out [21][22][23][24][25][26][27][28][29]. In Ref.…”