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;
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11580/8088
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