Restricted Phase Space Thermodynamics of Nonlinear Electrodynamics-Anti-de Sitter 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 rescaling properties of the equation of states, we study the thermodynamic processes using different pairs of variables. From our analysis, we infer that although the RPST of the NED-AdS black hole resembles those of Reissner–Nordström-AdS, Kerr-AdS, and 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 behavior from its counterparts in earlier reported works.