Phase transitions in the logarithmic Maxwell O(3)-sigma model

We investigate the presence of topological structures and multiple phase transitions in O(3)-sigma model with gauge field governed by Maxwell's term subject to a so-called Gausson's self-dual potential. To carry out this study, it is numerically shown that supports solutions 3-dimensional spacetime. In fact, obtain solutions, we assume spherically symmetrical ansatz find as well some physical behaviors vortex, energy magnetic field. It presented planar view an interesting configuration ring-like profile. calculate differential configurational complexity (DCC) structures, spatial density vortex used. DCC important because provides us information about possible associated located Maxwell-Gausson 3D. Finally, note from profile infinite set kink-like parameter controls vacuum expectation value.