Phase transitions in four-dimensional AdS black holes with a nonlinear electrodynamics source

Abstract

In this work we consider black hole solutions to Einstein theory coupled to a nonlinear power-law electromagnetic field with a fixed exponent value. We study the extended phase space thermodynamics in canonical and grand canonical ensembles where the varying cosmological constant plays the role of an effective thermodynamic pressure. We examine thermodynamical phase transitions in such black hols and find that both first and second order phase transitions can occur in the canonical ensemble, while for the grand canonical ensemble the Hawking-Page and second order phase transitions are allowed.

arXiv comment19 pages, 8 figures. Some references added and minor revision

References in corpus (59)

• Building an AdS/CFT superconductor
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Breaking an Abelian gauge symmetry near a black hole horizon
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• Black hole chemistry: thermodynamics with Lambda
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• Pressure and volume in the first law of black hole thermodynamics
• The cosmological constant and the black hole equation of state
• New Regular Black Hole Solution from Nonlinear Electrodynamics
• Topological Black Holes in Anti-de Sitter Space
• Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
• Higher-dimensional black holes with a conformally invariant Maxwell source
• Born-Infeld black holes in the presence of a cosmological constant
• Born-Infeld Black Holes in (A)dS Spaces
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Higher-order corrections to mass-charge relation of extremal black holes
• Asymptotic Reissner-Nordstrom black holes
• Lovelock black holes with a nonlinear Maxwell field
• Einstein-Born-Infeld-Massive Gravity: adS-Black Hole Solutions and their Thermodynamical properties
• New Type of Regular Black Holes and Particlelike Solutions from Nonlinear Electrodynamics
• Shear Viscosity from Effective Couplings of Gravitons
• Phase transition and thermodynamic geometry of Einstein-Maxwell-dilaton black holes
• New type of phase transition in Reissner Nordström - AdS black hole and its thermodynamic geometry
• Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes
• Exact Solutions of Lovelock-Born-Infeld Black Holes
• Thermodynamics of charged black holes with a nonlinear electrodynamics source
• Second Order Phase Transition and Thermodynamic Geometry in Kerr-AdS Black Hole
• Thermodynamics of phase transition in higher dimensional AdS black holes
• Thermodynamics of the Maxwell-Gauss-Bonnet anti-de Sitter Black Hole with Higher Derivative Gauge Corrections
• Regular (2+1)-dimensional black holes within non-linear Electrodynamics
• A unified picture of phase transition: from liquid-vapour systems to AdS black holes
• Thermodynamics of Rotating Black Branes in Gauss-Bonnet-nonlinear Maxwell Gravity
• Thermodynamics of rotating black branes in $(n+1)$-dimensional Einstein-Born-Infeld-dilaton gravity
• Effect of external magnetic field on holographic superconductors in presence of nonlinear corrections
• Holographic Superconductors with Power-Maxwell field
• Thermodynamics of Einstein-Born-Infeld black holes with negative cosmological constant
• Topological Black Holes in Gauss-Bonnet Gravity with conformally invariant Maxwell source
• Thermodynamics of higher dimensional topological dilaton black holes with power-law Maxwell field
• Holographic Van der Waals-like phase transition in the Gauss-Bonnet gravity
• Thermodynamic instability of charged dilaton black holes in AdS spaces
• The relation between F(R) gravity and Einstein-conformally invariant Maxwell source
• Rotating Black String with Nonlinear Source
• Thermodynamic instability of nonlinearly charged black holes in gravity's rainbow
• Ricci flat rotating black branes with a conformally invariant Maxwell source
• AdS/CFT superconductors with Power Maxwell electrodynamics: reminiscent of the Meissner effect
• On Thermodynamical Behaviors of Kerr-Newman AdS Black Holes
• Extremal limit of the regular charged black holes in nonlinear electrodynamics
• Rotating Black Branes in the presence of nonlinear electromagnetic field
• On analytical study of holographic superconductors with Born-Infeld electrodynamics
• The phase transition and the Quasi-Normal Modes of black Holes
• Holographic superconductors in Born-Infeld electrodynamics and external magnetic field
• Phase transition and scaling behavior of topological charged black holes in Horava-Lifshitz gravity
• Non-equilibrium condensation process in holographic superconductor with nonlinear electrodynamics
• Slowly Rotating Black Holes in Einstein-Generalized Maxwell Gravity
• Analytical and Numerical Study of Gauss-Bonnet Holographic Superconductors with Power-Maxwell Field
• Four-dimensional black holes with scalar hair in nonlinear electrodynamics
• Generalized Holographic Superconductors with Higher Derivative Couplings
• Phase transition and thermodynamic stability in extended phase space and charged Hořava-Lifshitz black holes
• Black hole phase transitions via Bragg-Williams