P - V Criticality of Born-Infeld AdS Black Holes Surrounded by Quintessence

Abstract

We discuss the P -V criticality and phase transition in the extended phase space of Born-Infeld AdS (BI-AdS) black hole surrounded by quintessence dark energy, where the cosmological constant Λ is identified with the thermodynamical pressure P . Comparing with Van der Waals(VdW)-like SBH/LBH phase transition of Born-Infeld AdS (BI-AdS) black hole, we find that the BI-AdS black hole surrounded by quintessence dark energy possesses lower critical temperature because of parameter a > 0, even disappears since the parameter a taking enough large values leads to Tc ≤ 0. Moreover, the interesting thermodynamic phenomenon of reentrant phase transition (RPT) are also observed, and the quintessence dark energy plays a similar role in this RPT.

Fingerprinting the Fractional Order Phase Transitions in AdS Black Holes

“…Then, the analogy with the Van de Waals P − V criticality has been established [8] and the firstand secondorder phase transitions have been readily found [6]. Generalization to thermodynamics structure of Reissner-Nordström black holes surrounded by quintessence has also been carried out [9][10][11][12][13].…”

Hawking-Page phase transitions of charged AdS black holes surrounded by quintessence *

“…For relevant discussion on black holes surrounded by quintessence, see Refs. [62][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78][79][80]. For example, in Ref.…”