Holographic heat engine efficiency of hyperbolic charged black holes

TL;DR

This paper investigates the efficiency of holographic heat engines using hyperbolic charged black holes, revealing conditions for Carnot efficiency and effects of charge, with comparative analysis across different geometries and numerical simulations.

Contribution

It introduces a novel analysis of black hole holographic heat engine efficiency for hyperbolic charged black holes, including conditions for maximum efficiency and comparative studies.

Findings

Efficiency reaches Carnot limit when entropy change is zero.

Lower charge leads to higher efficiency for q > 0.

Efficiency varies across hyperbolic, flat, and spherical black holes.

Abstract

We consider a four-dimensional charged hyperbolic black hole as working matter to establish a black hole holographic heat engine, and use the rectangular cycle to obtain the heat engine efficiency. We find that when the increasing of entropy is zero, the heat engine efficiency of the hyperbolic black hole becomes the well-known Carnot efficiency. We also find that less charge corresponds to higher efficiency in the case of q > 0. Furthermore, we study the efficiency of the flat case and spherical case and compare the efficiency with that of the hyperbolic charged black holes. Finally, we use numerical simulation to study the efficiency in benchmark scheme.