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• W3170629233 abstract "We study the homogenized energy densities of periodic ferromagnetic Ising systems. We prove that, for finite range interactions, the homogenized energy density, identifying the effective limit, is crystalline, i.e., its Wulff crystal is a polytope, for which we can (exponentially) bound the number of vertices. This is achieved by deriving a dual representation of the energy density through a finite cell formula. This formula also permits easy numerical computations: we show a few experiments where we compute periodic patterns which minimize the anisotropy of the surface tension." @default.
• W3170629233 created "2021-06-22" @default.
• W3170629233 creator A5029534488 @default.
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• W3170629233 date "2023-01-28" @default.
• W3170629233 modified "2023-10-02" @default.
• W3170629233 title "Crystallinity of the Homogenized Energy Density of Periodic Lattice Systems" @default.
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• W3170629233 doi "https://doi.org/10.1137/21m1442073" @default.
• W3170629233 hasPublicationYear "2023" @default.
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