Black Holes in a Cavity: Heat engine and Joule-Thomson Expansion

TL;DR

This paper explores the thermodynamic behavior of charged black holes in a cavity, analyzing their efficiency as heat engines and their Joule-Thomson expansion, highlighting similarities and differences with anti-de-Sitter black holes.

Contribution

It introduces the study of black holes in a cavity as a thermodynamic system for heat engines and compares their Joule-Thomson expansion with AdS black holes.

Findings

Black holes in a cavity exhibit similar phase structures to AdS black holes.

Efficiency calculations for Carnot and rectangular cycles are provided.

The Joule-Thomson expansion behavior aligns with or differs from AdS cases depending on boundary conditions.

Abstract

We consider the charged d-dimensional black holes in a cavity in extended phase space and investigate the heat engine and the Joule-Thomson (JT) expansion. Since the phase structure of black holes in a cavity is similar to anti-de-sitter (AdS) cases, we take black holes in a cavity as the working substance in the heat engine and calculate their efficiency in Carnot cycle and rectangular cycle. Also, we discuss whether the JT expansion of charged black holes in a cavity is consistent with AdS cases and conclude the effect of different boundary conditions on black hole thermodynamics.