Holographic heat engine in Horndeski model with the $k$-essence sector

TL;DR

This paper investigates the thermodynamics of charged black holes in a Horndeski gravity model with a k-essence sector, defining a holographic heat engine and analyzing how higher order couplings affect its efficiency.

Contribution

It introduces a holographic heat engine in the Horndeski model with k-essence and analyzes the impact of higher order couplings on engine efficiency.

Findings

Higher order couplings suppress engine efficiency

Efficiency computed in large temperature limit and compared with exact results

Thermodynamical properties of black holes are extended and analyzed

Abstract

We study the extended thermodynamical properties of the charged black hole in Horndeski model with the $k$-essence sector. Then we define a holographic heat engine via the black hole. We compute the engine efficiency in the large temperature limit and compare the results with the exact ones. With the given specified parameters in the rectangular engine, the higher order coupling suppresses the engine efficiencies.