Corpus ID: 225066730

Variational methods for a singular SPDE yielding the universality of the magnetization ripple

@article{Ignat2020VariationalMF,
  title={Variational methods for a singular SPDE yielding the universality of the magnetization ripple},
  author={R. Ignat and F. Otto and Tobias Ried and P. Tsatsoulis},
  journal={arXiv: Probability},
  year={2020}
}
  • R. Ignat, F. Otto, +1 author P. Tsatsoulis
  • Published 2020
  • Mathematics, Physics
  • arXiv: Probability
  • The magnetization ripple is a microstructure formed in thin ferromagnetic films. It can be described by minimizers of a nonconvex energy functional leading to a nonlocal and nonlinear elliptic SPDE in two dimensions driven by white noise, which is singular. We address the universal character of the magnetization ripple using variational methods based on $\Gamma$-convergence. Due to the infinite energy of the system, the (random) energy functional has to be renormalized. Using the topology of… CONTINUE READING

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