Thermodynamics of high order correction for Schwarzschild-AdS black hole in non-commutative geometry

TL;DR

This paper investigates how high-order non-commutative geometric corrections influence the thermodynamics of Schwarzschild-AdS black holes, revealing a convergence to classical behavior and analyzing the Joule-Thomson effect.

Contribution

It introduces a detailed analysis of high-order non-commutative corrections on Schwarzschild-AdS black hole thermodynamics, including the Joule-Thomson effect, expanding understanding of quantum gravity effects.

Findings

High-order corrections cause thermodynamic behavior to approach classical Schwarzschild-AdS black holes.

The study of Joule-Thomson effect reveals modified cooling and heating behaviors under non-commutative corrections.

Thermodynamic properties are significantly affected by the dominance of high-order corrections.

Abstract

Under the premise that quantum gravity becomes non-negligible, higher-order corrections of non-commutative geometry dominate. In this paper, we studied the thermodynamics of high-order corrections for Schwarzschild-AdS black hole with Lorentz distribution in the framework of non-commutative geometry. Our results indicate that when high-order corrections dominate, the thermodynamic behavior of Schwarzschild-AdS black hole in non-commutative geometry will gradually approach that of ordinary Schwarzschild-AdS black hole. In addition, we also studied the Joule-Thomson effect of Schwarzschild-AdS black hole under high-order corrections.