Restricted Phase Space Thermodynamics of NED-AdS Black Holes

Abstract

We study the Restricted Phase Space Thermodynamics (RPST) of magnetically charged Anti de Sitter (AdS) black holes sourced by nonlinear electrodynamics(NED). The first law and the corresponding Euler relation are examined using the scaling properties. While the mass is homogeneous in the first order, the intensive variables are observed to follow zeroth order homogeneity. We use numerical and graphical techniques to find the critical points of the various thermodynamic quantities. By utilizing the re-scaling properties of the equation of states, we study the thermodynamic processes using different pairs of variables. From our analysis, we infer that although the RPS thermodynamics of NED-AdS black hole resembles those of RN-AdS, Kerr-AdS, Kerr-Sen-Ads black holes in most of its aspects, hinting at a possible universality, there exists one particular $\mu -C$ process that differs in its behaviour from its counterparts in earlier reported works.

13 pages, 8 figures

References in corpus (16)

• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Critical phenomena of static charged AdS black holes in conformal gravity
• Restricted phase space thermodynamics for AdS black holes via holography
• Chemical Potential in the First Law for Holographic Entanglement Entropy
• Thermodynamics of Kerr-AdS black holes in the restricted phase space
• Thermodynamic topology of black holes from bulk-boundary, extended, and restricted phase space perspectives
• WGC and WCCC of black holes with quintessence and cloud strings in RPS space
• Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity
• 4D-EGB Black Holes in RPS Thermodynamics
• Critical phenomena and chemical potential of charged AdS black hole
• Restricted phase space thermodynamics of charged AdS black holes in conformal gravity
• NED-AdS black holes, extended phase space thermodynamics and Joule--Thomson expansion
• Universal criticality of thermodynamic geometry for boundary conformal field theories in gauge/gravity duality
• Restricted phase space thermodynamics for black holes in higher dimensions and higher curvature gravities
• Restricted phase space thermodynamics of Einstein-power-Yang-Mills AdS black hole
• Signal of phase transition hidden in quasinormal modes of regular AdS black holes

Cited by in corpus (4)

• Thermodynamic Topology and Phase Space Analysis of AdS Black Holes Through Non-Extensive Entropy Perspectives
• Non-extensive Entropy and Holographic Thermodynamics: Topological Insights
• Nonlinear Magnetically Charged Black Holes with Phantom Global Monopoles: Thermodynamics, Geodesics, Quasinormal Modes, and Grey-Body Factors
• Restricted Phase Space Thermodynamics of Charged Static and Charged Rotating Black Holes in $f(R)$ Gravity