Joule-Thomson Expansion of Reissner-Nordstrom AdS Black Holes in $f(R)$ gravity

Abstract

In this paper, we study Joule-Thomson expansion for charged AdS black holes in f (R) gravity. We obtain the inversion temperatures as well as inversion curves, and investigate similarities and differences between van der Waals fluids and charged AdS black holes in f (R) gravity for this expansion. In addition, we determine the position of the inversion point versus different values of the mass M , the charge Q and the parameter b for such black hole. At this point, the Joule-Thomson coefficient µ vanishes, an import feature that we used to obtain the cooling-heating regions by scrutinizing the sign of the µ quantity.Nowadays, an f (R) gravity is one of important class of the modified Einstein's gravity. In general, It is built through adding higher powers of the scalar curvature R, the Riemann and Ricci tensors, or their derivatives to the lagrangian description [1][2][3][4][5]. This kind of gravity mimics successfully the history of universe, especially the current cosmic acceleration, the inflation and structure formation in the early Universe [2,3], various extensions of f(R) gravity theory has been elaborated ranging from three dimensional [6] and asymptotically Lifshitz black hole solutions [7] to F(R) gravity's rainbow model [8].Recently, a special attention has been devoted to the study of the black holes phase transition particularly after the introduction of the notion of the extended phase space via the identification of the cosmological constant with the pressure and its conjugate quantity with thermodynamic volume [9]. In this context, the black hole behaves like Van der Waals fluid [10-12] leading to a remarkable correspondence between the thermal physics of black holes and simple substances [13]. Numerous extensions of these works have been elaborated for rotating and hairy black hole [14,15], high curvature theories of gravity and M-theory [16][17][18][19]. More exotic results as holographic heat engine [20] as well as other technics ranging from the behaviour of the quasi-normal modes [21,22] to AdS/CFT tools [23,24] and chaos structure [25] have consolidated the similarity with the Van der Waals fluid.Meanwhile, a considerable effort has been dedicated to explore the thermodynamics of the AdS black hole in the R + f (R) gravity background with a constant curvature [26] where the essential of thermodynamical quantities like the entropy, heat capacity and the Helmholtz free energy are calculated, then the extended phase space and the critical Van der Waals-like behavior introduced in [26,27] as well as the canonical ensembles in [28]. Here we would like to go further in the thermodynamical investigation and study the Joule-Thomson expansion for the charged-AdS black hole configuration in the f (R) gravity background.More recently, the authors of [29] have investigated the JT expansion for AdS charged black holes with the aim to confront the resulting features with those of Van der Waals fluids. The extension to rotating-AdS black hole [30] and the charged black hole solution in the presence of the ...

Joule-Thomson expansion of charged Gauss-Bonnet black holes in AdS space

“…[57], or any textbook on thermodynamics and statistical physics. But as far as we know, the inversion curves of Joule-Thomson expansion for black hole system, such as charged AdS black holes [57], Kerr-AdS black holes [58], quintessence charged AdS black holes [59], charged AdS black holes in f(R) gravity [61], AdS black hole with a global monopole [62], AdS black holes in Lovelock gravity [63], as well as our charged AdS black holes in Gauss-Bonnet gravity, consist only positive slope branch. This seems to be an universal feature for black hole systems.…”

“…For charged AdS black holes [57] and Kerr-AdS black holes [58], the isenthalpy expansion process and the inversion curve are investigated. Then the works are generalized to quintessence charged AdS black holes [59], holographic superfluids [60], charged AdS black holes in f(R) gravity [61], AdS black hole with a global monopole [62] and AdS black holes in Lovelock gravity [63]. The results show that the inversion curvesT (P ) for all the above black hole systems have only positive slope.…”

Joule-Thomson Expansion of the Quasitopological Black Holes

“…[6]. The Joule-Thomson expansion was studied in many papers [7][8][9][10][11][12][13][14]. Joule-Thomson expansion of the higher dimensional charged AdS and Gauss-Bonnet AdS black holes have been broadly probed in Refs.…”

Phase transition of AdS black hole in massive gravity revisited via new prescription

“…In this framework, the cosmological constant is regarded as thermodynamic pressure and the black hole mass is identified to the enthalpy. Within these peculiar developments, a beautiful and deep analogy between AdS black holes and van der Waals liquid-gas system has been revealed [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] opening a new window towards our understanding of strong gravity and black holes physics.…”