The Thermodynamic Efficiency in Static and Dynamic Black Holes

Abstract

We note that, in extended phase space the cosmological constant is a thermodynamic variable. In this paper, this cosmological constant lead us to consider a black hole as a heat engine. So, here we take advantage from holographic heat engine and study two kind of different black holes. We first investigate a static black hole (Dyonic BH) and consider the necessary condition to have high efficiency. Also we continue our investigation for dynamic black hole (rotating charged black hole) and study the effect of rotating parameter on the thermodynamic efficiency of holographic heat engine. We show that the rotating parameter has a more effective role than electric charge in thermodynamic efficiency.

Joule–Thomson expansion of Kerr–AdS black holes

“…Furthermore, heat engines behaviours of the AdS black holes have been studied. For example, in [38] two kind of heat engines were proposed by Johnson for charged AdS black holes and heat engines were studied for various black hole solutions in [39][40][41][42][43][44][45][46][47][48][49]. 2 More recently, adiabatic processes [53] and Rankine cycle [54] have been studied for the charged AdS black holes.…”

Holographic heat engine efficiency of hyperbolic charged black holes

“…However, most authors only discuss the case with the horizon being a positive constant curvature hypersurface [9][10][11][12][13][14][15][16][17][18][19][20][21][22]. Note that there are huge differences in the thermal stability of black holes in AdS spaces with different curvatures.…”

Instability and phase transitions of a rotating black hole in the presence of perfect fluid dark matter

“…In other words, conditions for existence/non-existence of Meissner effect phase transition is discussed. Phase transition for the Kerr-Newman-AdS black hole in quintessence matter as a model of dark energy is discussed in [17]. Extension of the model including nonlinear magnetic charge is given in [18].…”