In this work we investigate corrections of the quintessence regime of the dark energy on the Joule-Thomson (JT) effect of the Reissner Nordström anti de Sitter (RNAdS) black hole. The quintessence dark energy has equation of state as p q = ωρ q in which −1 < ω < − 1 3 . Our calculations are restricted to ansatz: ω = −1 ( the cosmological constant regime ) and ω = − 2 3 (quintessence dark energy). To study the JT expansion of the AdS gas under the constant black hole mass, we calculate inversion temperature T i of the quintessence RNAdS black hole where its cooling phase is changed to heating phase at a particular (inverse) pressure P i . Position of the inverse point {T i , P i } is determined by crossing the inverse curves with the corresponding Gibbons-Hawking temperature on the T-P plan. We determine position of the inverse point verse different numerical values of the mass M and the charge Q of the quintessence AdS RN black hole. The cooling-heating phase transition (JT effect) is happened for M > Q in which the causal singularity is still covered by the horizon. Our calculations show sensitivity of the inverse point {T i , P i } position on the T-P plan to existence of the quintessence dark energy just for large numerical values of the AdS RN black holes charge Q. In other words the quintessence dark energy dose not affects on position of the inverse point when the AdS RN black hole takes on small charges.
In this work we are about to investigate the effects of dark energy quintessence on the evolution of the computational complexity in the context of AdS/CFT correspondence. We use the conjecture "complexity = action" for a charged black hole surrounded by dark energy. Then we try to find how it affects on the complexity growth at the late time approximations under some conditions where the Lloyd bound satisfy in this new model. We also compare the late time approximation of action growth with perturbed geometry in small limits of shift function. Actually we investigate the evolution of complexity when thermofield double state on the boundaries is perturbed by local operator corresponding to a shock wave geometry as holographically. Furthermore we investigate the spread of this local shock wave in the presence of quintessence dark energy. *
We study effects of non-abelian gauge fields on the holographic characteristics for instance the evolution of computational complexity. To do so we choose Maxwell-power-Yang-Mills theory defined in the AdS space-time. Then we seek the impact of charge of the YM field on the complexity growth rate by using complexity = action (CA) conjecture. We also investigate the spreading of perturbations near the horizon and the complexity growth rate in local shock wave geometry in presence of the YM charge. At last we check validity regime of Lloyd bound. *
By considering AdS charged black hole in extended thermodynamic context as the working substance we use it as a heat engine. We investigate the effect of hairy charge on the evolution of efficiency and Carnot's efficiency along with electric charge. Because of interesting thermodynamic behavior of hairy black holes it would be natural to know its effect when we use black hole as a heat engine. We show that this hairy charge could increase the efficiency, and maximum temperature would be happened for bigger Maxwell charge when this hairy charge grows. For fixed electric charges, the efficiency has a minimum point and except for charge-less case, all critical points are physical. If the electric charge takes a zero value then the hairy charge must be negative. We also seek behavior of the system in limits of large charges which is provided a model with low-temperature thermodynamics.
We study thermodynamic of a dyonic AdS black hole surrounded by quintessence dark energy where negative cosmological constant of AdS space behaves as pressure of the black hole. We choose grand canonical ensemble of the black hole where its magnetic charge Q M and electric potential Φ E are hold as constant. Our goal in this work is study physical effects of the magnetic charge and electric potential on the thermodynamic phase transition of the black hole in presence of quintessence dark energy. When barotropic index of the quintessence is ω = − 7 9 we obtained that compressibility factor of the black hole reduces to Z c = 3 8 which corresponds to the Van der Waals fluid. We obtained analogy between the small/large black hole phase transition and liquid/gas phase transition of the Van der Waals fluid. Numerical calculations predict that the black hole may born plasma phase which is fourth different state of the matter which does not appear in the Van der Waals fluid.
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