The phase diagram of domain walls in narrow magnetic strips

A magnetic strip with rectangular cross section and infinite extension in the third, easy direction is used as a vehicle to explore numerical micromagnetic algorithms. The manifold of (meta-)stable domain wall solutions is calculated as a function of the thickness of the strip and of the relative strength of the magnetic anisotropy. With improved algorithms it became possible to calculate the complete phase diagram of domain walls including all first- and second-order phase transitions between the walls. We took care to make sure that the obtained results were independent of the chosen discretization.