On heat properties of charged AdS black holes in Gauss-Bonnet gravity coupled with nonlinear electrodynamics

TL;DR

This paper explores the thermodynamic and phase transition properties of charged AdS black holes in Gauss-Bonnet gravity coupled with nonlinear electrodynamics, revealing enhanced stability, topological temperature features, and efficiency insights for holographic heat engines.

Contribution

It provides a detailed analysis of heat properties, phase transitions, and engine efficiencies of black holes in this modified gravity and electrodynamics framework, highlighting new stability and thermodynamic features.

Findings

Nonlinear electrodynamics improves black hole thermodynamic stability.

Existence of van der Waals-like phase transitions with critical exponents.

Derived exact efficiency for holographic rectangular heat engines.

Abstract

We investigate the heat properties of charged AdS black holes in the Gauss-Bonnet gravity coupled with nonlinear electrodynamics. We consider the thermodynamics of black holes from the perspective of heat capacity and show that the nonlinear electrodynamics can be helpful to improve the thermodynamic stability of black holes. We perform a two-dimensional description in order to reproduce the Hawking temperature, which confirms that the Hawking temperature has an intrinsic topological nature and holds for a higher dimensional spherically symmetric spacetime. We also analyze the Maxwell equal area law and coexistence curve, and find the existence of van der Waals-like phase transitions based on critical exponents. Moreover, we deal with a charged AdS black hole in the Gauss-Bonnet gravity coupled with nonlinear electrodynamics as a working material to study holographic heat engines and obtain an exact expression for the efficiency of a rectangular engine cycle. We then discuss the effects of nonlinear electrodynamics and Gauss-Bonnet couplings on the rectangular engine cycle and compare the efficiency of this cycle with that of the Carnot cycle.