Lower bound for the energy of Bloch walls in micromagnetics

  title={Lower bound for the energy of Bloch walls in micromagnetics},
  author={Radu Ignat and Beno{\^i}t Merlet},
We study a 2D nonconvex and nonlocal variational model in micromagnetics. It consists in a free-energy functional defined over vector fields with values into the unit sphere S 2. This energy depends on two small parameters β and ε penalizing the divergence of the vector field and its vertical component, respectively. We are interested in the analysis of the asymptotic regime β ≪ ε ≪ 1 through the method of Γ−convergence. Finite energy configurations tend to become in-plane in the magnetic… CONTINUE READING

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