Hairy black holes and holographic heat engine

TL;DR

This paper explores how hairy charges influence the efficiency of AdS charged black holes used as holographic heat engines, revealing that hairy charge can enhance efficiency and affect thermodynamic behavior.

Contribution

It introduces the impact of hairy charge on black hole heat engine efficiency and thermodynamics, extending understanding of black hole thermodynamics with hair.

Findings

Hairy charge increases heat engine efficiency.

Maximum temperature occurs at larger Maxwell charge with increasing hairy charge.

Efficiency exhibits a minimum at fixed electric charges.

Abstract

By considering AdS charged black hole in the context of extended thermodynamic 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 efficiency along with electric charge. Because of interesting thermodynamic behavior of hairy black holes it would be natural to know their effects when we use black hole as a heat engine. We show that the hairy charge increases the efficiency, and so maximum temperature would be happened for bigger Maxwell charge when this hairy charge grows. For the fixed electric charges, the efficiency has a minimum value. In fact all critical points describe physical states except when the charge removed. If the electric charge takes a zero value then the hairy charge must be negative. We also seek behavior of the system for large charges which is provided a model with low-temperature thermodynamics.