Peculiar P−V criticality of topological Hořava-Lifshitz black holes

Abstract

We demonstrate the existence of P − V criticality of the topological Hořava-Lifshitz(HL) black holes with a spherical horizon (k = 1) in the extended phase space. With the electric charge, we find that the critical behaviors of the HL black hole are nearly the same as those of van der Waals(VdW) system. For the uncharged case, the HL black hole has a peculiar P − V criticality. The critical behavior is completely controlled by a parameter , but not the temperature T . When is larger than a critical value c , no matter what the temperature is, there will be the first-order phase transition. Moreover, we find that there is an infinite number of critical points which form a " critical curve ". As far as we know, this is the first time to find this kind of peculiar P − V criticality.

Fractional-order phase transition of charged AdS black holes

“…In the extended phase space, one can construct a one-to-one correspondence between the thermodynamic quantities of AdS black hole and those of ordinary thermodynamic systems [21]. After that, many other AdS black holes and other interesting critical phenomena have been extensively explored [22][23][24][25][26][27][28][29][30][31][32].…”

λ Phase Transition in Horava Gravity

“…the infinitely critical points and continuous second order phase transitions. Especially for four dimensional case, it is reported in [29], which is called as "peculiar critical phenomena". In Section.4, we will conclude that they are actually the famous λ phase transition after studying the specific heat C P of HL black holes.…”

“…In this paper, we present another example of black holes containing λ phase transition in Horava gravity, which is a candidate of quantum gravity in ultra high energy [21]. The Horava-Lifshitz (HL) black hole solutions, thermodynamics and phase transitions have attracted a lot of attention [22][23][24][25][26][27][28][29] (See [30] for a review on the recent development of various areas). The general dimensional HL black hole solutions are also introduced [31].…”

Effects of quantum corrections on the criticality and efficiency of black holes surrounded by a perfect fluid

“…whereS = S/π. According to (17) and (20), if the volume is constant, then the entropy is also constant, which means that isochoric are also adiabatic processes. In particular, this also implies that the heat capacity at constant volume is null…”

“…If, instead, one introduces quantum corrections, then phase transitions can occur even in the absence of charges. Such phase transitions have been explored in several contexts and gravitational theories, for instance assuming non-linear electrodynamics [9,10], a cloud of strings environment [11][12][13], the effect of quarkgluon matter [14], alternative gravitational theories [15][16][17][18][19][20][21][22], quantum gravity phenomenology [24], accelerating black holes [23] and other alternative formulations [25]. Besides these, some properties of the thermodynamics of a quantum-corrected Schwarzschild black hole has been studied in [26].…”