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The geometry of the intermediate state (IS) flux structures of type-Isuperconductors, observed during early stages of magnetic flux penetrationinduced by an externally applied perpendicular magnetic field, is approached interms of minimal surfaces. This approach follows from the assumption that alocal free energy minimization constraint, for each individual flux structure,dominates for sufficiently spatially separated magnetic flux regions, i.e. whenover global free energy minimization predicts very low periodicity of sampleintermediate state.

Minimal Surfaces & the Intermediate State of Type-I Superconductors