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

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 are consistent with AdS cases and conclude the effect of different boundary conditions on black hole thermodynamics.

The Joule–Thomson and Joule–Thomson‐Like Effects of the Black Holes in a Cavity

“…Our result is consistent with that in Ref. [41], in which the authors arrived at the similar conclusion as ours mainly by illustration. The JT coefficient µ of the black holes in a cavity as a function of the cavity radius r B , with a fixed event horizon radius r + = 1 and different charges Q = 0, 0.5, and 0.75, respectively.…”

“…However, this is based on the consideration of the JT effect as an isenthalpic process, which is not of much physical meaning in the current situation. Our result is consistent with that in [41], in which the authors arrived at the similar conclusion as ours mainly by illustration.…”

“…However, the JT effect of the black holes in a cavity has not been thoroughly explored in the current literature. In [41], this issue was briefly touched, and it was claimed that there is only cooling region. Nevertheless, there still remain two areas needed for necessary improvements.…”

“…In Ref. [41], this issue was briefly touched, and it was claimed that there is only cooling region. Nevertheless, there still remain two areas needed for necessary improvements.…”

Generalized Ayón-Beato-García Black Holes and Joule-Thomson Expansion

“…JT coefficient µ is slope of the T-P isenthalpic curves and so heating (cooling) phase is happened with negative (positive) slope µ < 0(> 0). One can follows [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] where the JT expansion are examined for various types of black holes. The layout of this work is as follows.…”