# 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} }

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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SHOWING 1-10 OF 11 REFERENCES