Eur. Phys. J. C (2018) 78: 840
https://doi.org/10.1140/epjc/s10052-018-6320-0

Regular Article - Theoretical Physics

Nonlinear electrodynamics AdS black hole and related phenomena in the extended thermodynamics

¹ Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou, 225009, China
² School of Physics, Northwest University, Xi’an, 710069, China
³ School of Arts and Sciences, Shaanxi University of Science and Technology, Xi’an, 710021, China
⁴ Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla, 4950, Valparaíso, Chile
⁵ Physics Department, Arts and Sciences Faculty, Eastern Mediterranean University, North Cyprus via Mersin 10, Famagusta, Turkey
⁶ School of Natural Sciences, Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ, 08540, USA

^* e-mail: xmeikuang@yzu.edu.cn

Received: 31 August 2018
Accepted: 8 October 2018
Published online: 19 October 2018

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.