Separation of domain walls with nonlocal interaction and their renormalised energy by $Γ$-convergence in thin ferromagnetic films
Radu Ignat,
Roger Moser
Abstract:We analyse two variants of a nonconvex variational model from micromagnetics with a nonlocal energy functional, depending on a small parameter > 0. The model gives rise to transition layers, called Néel walls, and we study their behaviour in the limit → 0. The analysis has some similarity to the theory of Ginzburg-Landau vortices. In particular, it gives rise to a renormalised energy that determines the interaction (attraction or repulsion) between Néel walls to leading order. But while Ginzburg-Landau vortice… Show more
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