We provide a variational description of nearest-neighbours and next-to-nearest neighbours binary lattice systems. By studying the Gamma-limit of proper scaling of the energies of the systems, we highlight phase and anti-phase boundary phenomena and show how they depend on the geometry of the lattice.
Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint / Alicandro, Roberto; Braides, A; Cicalese, M.. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - 1:(2006), pp. 85-107. [10.3934/nhm.2006.1.85]
Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint
ALICANDRO, Roberto;
2006
Abstract
We provide a variational description of nearest-neighbours and next-to-nearest neighbours binary lattice systems. By studying the Gamma-limit of proper scaling of the energies of the systems, we highlight phase and anti-phase boundary phenomena and show how they depend on the geometry of the lattice.File in questo prodotto:
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