Nonlinear electrodynamics black holes: Study of thermodynamic properties

We study the thermodynamic properties of charged black hole solution coupled to a nonlinear electrodynamics in Einstein gravitational field. We conducted a search for thermodynamic properties by proving that black holes with nonlinear electrodynamics fulfill the first laws of black hole mechanics. By varying the parameter q for both models it was found that there are differences in the properties of black holes. At a certain extent, the thermodynamic properties of these two models show similarities with the Schwarzschild and Reissner-Nordstrom solutions in the Anti-de-Sitter space-time.