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Andrea Braides, Andrea Causin, Margherita Solci, Interfacial energies on quasicrystals, IMA Journal of Applied Mathematics, Volume 77, Issue 6, December 2012, Pages 816–836, https://doi.org/10.1093/imamat/hxs046
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Abstract
We consider nearest-neighbour ferromagnetic energies defined on a quasicrystal modeled following the so-called cut-and-project approach as a portion of a regular lattice contained in a possibly irrational stripe defined as a neighborhood of a k-dimensional subspace in an n-dimensional space. The overall properties of this system are described by an effective surface energy on a k-dimensional space obtained as Γ-limit of the scaled discrete energies.
quasicrystals, spin systems, ferromagnetic interactions, Gamma-convergence, homogenization, quasiperiodic functions
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© The authors 2012. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
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