Novel nonlinear electrodynamics black hole and related phenomena in the extended thermodynamics

TL;DR

This paper derives an analytic solution for AdS-NED black holes, analyzing their thermodynamics, phase transitions, and Joule-Thomson effects to deepen understanding of nonlinear electrodynamics in black hole physics.

Contribution

It provides the first analytic solution for AdS-NED black holes and explores their thermodynamic phase behavior and Joule-Thomson effects.

Findings

Identified pressure-volume criticality and phase transitions.

Calculated Hawking temperature and thermodynamic properties.

Analyzed Joule-Thomson coefficient and inversion curves.

Abstract

In this paper, we present the analytic solution for Anti-de Sitter-Nonlinear electrodynamics (AdS-NED) black hole in four dimensions. We study tunneling of vector particles from the AdS-NED black hole to find Hawking temperature as well as its thermodynamical properties in usual and extended phase space. Then we explore the properties of pressure-volume criticality by analyzing the phase diagram and its free energy. Finally, we investigate the Joule-Thomson coefficient, in which the inversion curve of warming and cooling are studied, and the ratio between the inverse temperature and critical temperature are computed in the black hole solution.