thermodynamic phase transition and joule thomson adiabatic expansion for ds/ads bardeen black holes with consistent 4d gauss-bonnet gravity

Instead of the work [1] given by glaven and lin in which in according to the lovelock theorem it is not applicable for all types of 4d curved spacetimes of einstein gauss bonnet gravity, authors of the work [2] applied breakdown of diffeomor-phism property to present a consistent einstein-gauss-bonnet gravity theory in 4d. in this work we use the latter model by adding an ayon-beato-garcia type of nonlinear electromagnetic field lagrangian density to study effects of gb coupling constant on the thermodynamic phase transition and joule-thomson adiabatic expansion of a 4d de sitter/anti de sitter gauss-bonnet-bardeen black hole. in fact, we will see im-portance of parameters of this black hole namely the magnetic charge and the gauss bonnet coupling constant parameter on its heating-cooling phase transition. physical importance of this type of black holes is non-singular property which they have and are applicable to study black hole structure of center of galaxies.