Static dilatonic black hole with nonlinear Maxwell and Yang–Mills fields of power-law type

Static spherically symmetric black hole solution is obtained in the framework of Einstein-dilaton theory with nonlinear Maxwell and Yang-Mills fields power-law type. It observed that might have two horizons similarly as it takes place for linear gauge case. Thermodynamics studied, namely behaviour temperature examined first law written. The concept extended phase space also utilized, we written analyzed equation state Gibbs free energy. energy shows there order transition if or pressure are below their critical values coupling parameters relatively small. Increasing give rise to appearance a domain zeroth transition, existence latter one specific other types dilatonic holes. Prigogine-Defay ratio has been calculated, at point not exactly second order, closer glass-type since equal one.