Joule-Thomson expansion of the quasitopological black holes

TL;DR

This paper explores the thermodynamic stability and Joule-Thomson expansion of various quasitopological black holes in higher dimensions, revealing how different parameters influence stability and cooling/heating behaviors during expansion.

Contribution

It introduces new quasitopological black hole solutions with nonlinear electrodynamics and analyzes their thermal stability and Joule-Thomson expansion properties, comparing Maxwell and Yang-Mills cases.

Findings

Stable regions are independent of nonlinear electrodynamics types.

Positive curvature horizons have larger stable regions with positive quasitopological coefficients.

Joule-Thomson inversion curves divide isenthalpic processes into cooling and heating phases.

Abstract

In this paper, we investigate the thermal stability and Joule-Thomson expansion of some new qusitopological black hole solutions. We first study the higher-dimensional static quasitopological black hole solutions in the presence of Born-Infeld, exponential and logarithmic nonlinear electrodynamics. The stable regions of these solutions are independent of the types of the nonlinear electrodynamics. The solutions with the horizons relating to the positive constant curvature, $k=+1$, have a larger region in thermal stability, if we choose positive quasitopological coefficients, $\mu_{i}>0$. We also have a review on the power Maxwell quasitopological black hole. Then, we obtain the five-dimensional Yang-Mills quasitopological black hole solution and compare with the quasitopological Maxwell solution. For large values of the electric charge, $q$, and the Yang-Mills charge, $e$, we showed that the stable range of the Maxwell quasitopological black hole is larger than the Yang-Mills one. This is while thermal stability for small charges has the same behavior for these black holes. In the following, we obtain the thermodynamic quantities for these solutions and then study the Joule-Thomson expansion. We consider the temperature changes in an isenthalpy process during this expansion. The obtained results show that the inversion curves can divide the isenthalpic ones into two parts in the inversion pressure, $P_{i}$. For $P<P_{i}$, a cooling phenomena with positive slope happens in $T-P$ diagram, while there is a heating process with negative slope for $P>P_{i}$. As the values of the nonlinear parameter, $\beta$, the electric and Yang-Mills charges decrease, the temperature goes to zero with a small slope and so the heating phenomena happens slowly.