Heat engine efficiency and Joule-Thomson expansion of non-linear charged AdS black hole in massive gravity

Abstract

In this paper, we have considered the heat engine and Joule-Thomson expansion for the charged AdS black hole in the context of the non-linear electrodynamics and massive gravity.For the black hole heat engine, we obtained the analytical expression for the efficiency in terms of either the entropies or the temperatures and pressures in various limits. For the Joule-Thomson expansion of the black hole, we derived the isenthalpic curves in T − P diagram, the Joule-Thomson coefficient, and the inversion curves. We also indicated in detail the effects of the non-linear electrodynamics and massive gravity on the heat engine efficiency and the Joule-Thomson expansion of the black hole.

Joule-Thomson expansion of AdS black holes in quasi-topological electromagnetism

“…On the left we show that the related horizons that satisfy µ JT = 0 are positive and one can verify that for the three cases the corresponding mass of the black hole is positive. This behaviour is novelty and significantly differs from the studied black holes [36][37][38][39][40][41][42][43][44][45][46][47] and even from the Van der Waals case. In k-essence models it was reported to exist two branches, but having negative mass of the black hole, making the Joule-Thomson expansion breaks down [42].…”

“…All the-works show that the inversion curves in the T − P plane have positive slope only while for Van der Waals system have both positive and negative slopes. Some works also investigated this phenomenon in non-linear electrodynamics systems [43][44][45][46][47] reproducing similar behaviour. The aim of this paper is to present the study of the Joule-Thomson in quasi-topological electromagnetism [48], a theory that corresponds to a higher-order extension of Maxwell electromagnetism constructed with the bilinear invariant F 2 = F µν F µν .…”

Revisiting black hole thermodynamics in massive gravity: charged particle absorption and shell of dust falling

“…respectively. Thermodynamic and the related studies of massive black hole have been done in [59][60][61][62][63][64][65][66][67][68][69]. Thus, here as a revisiting, we will study the thermodynamics of massive gravity black hole via two methods: one is the black hole absorbs a charged particle, and the other is a shell of dust falls into the black hole.…”

“…Various phenomenology of massive gravity has been widely investigated. Especially, its thermodynamical phase transition and the related studies in extended phase space have been addressed in [59][60][61][62][63][64][65][66][67][68][69].…”

Charged AdS black holes in Gauss–Bonnet gravity and nonlinear electrodynamics

“…Following this remarkable work, P − V criticality has been studied in various black holes . In addition, many interesting phenomena of the AdS black hole thermodynamics have been found, such as multiply reentrant phase transitions [24,[52][53][54], the heat engine efficiency of black holes [55][56][57][58][59][60][61][62][63][64][65], or the Joule-Thomson expansion of black holes [66][67][68][69][70][71].…”