Thermodynamics of modified Bardeen-AdS black hole: Heat engine

Abstract

In this paper, we have explored the thermodynamic properties of static Modified Bardeen black hole in the background of Anti-de Sitter (AdS) extended phase space. Thermodynamic pressure is taken as a thermodynamic variable, defined by the negative cosmological constant. We have discussed the thermodynamic quantities like Hawking temperature, Gibbs energy and Helmholtz free energy along with specific heat capacity to analyze the stability. Next, Joule–Thomson expansion has been evaluated to determine cooling-heating phase transition. Followed by these, we have constructed a new heat engine where the black hole is considered as the working substance. We have determined the efficiency through a heat cycle in the [Formula: see text]-[Formula: see text] plane. As a result, we have been able to show the efficiency of a new heat engine and measure it against the Carnot efficiency. After evaluating the efficiency of the Rankine cycle, the paper has been concluded with a comparison analysis between the heat engine efficiencies of Modified Bardeen AdS Black hole and Regular Bardeen AdS Black hole.