Heat Engines for Dilatonic Born-Infeld Black Holes

TL;DR

This paper investigates the efficiency of heat engines using dilatonic Born-Infeld black holes as the working substance, analyzing how dilaton and Born-Infeld couplings affect thermodynamic performance in extended gravitational thermodynamics.

Contribution

It introduces a framework for studying heat engines with dilaton-Born-Infeld black holes, incorporating dilaton-dependent thermodynamic mass and volume, and compares results with related theories.

Findings

Efficiency varies with dilaton and Born-Infeld couplings.

Thermodynamic properties depend on the dilaton field and nonlinear electrodynamics.

Results differ from conformal and AdS black hole solutions.

Abstract

In the context of dilaton coupled Einstein gravity with a negative cosmological constant and a Born-Infeld field, we study heat engines where charged black hole is the working substance. Using the existence of a notion of thermodynamic mass and volume (which depend on the dilaton coupling), the mechanical work takes place via the pdV terms present in the first law of extended gravitational thermodynamics. Efficiency is analyzed as a function of dilaton and Born-Infeld couplings, and results are compared with analogous computations in the related conformal solutions in the Brans-Dicke Born-Infeld theory and black holes in Anti de Sitter space-time.