Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint
Roberto Alicandro - DAEIMI, Università di Cassino, via Di Biasio, 03043 Cassino (FR), Italy (email)
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.
Keywords: Lattice systems, $\Gamma$-convergence, anti-phase boundaries, surface energies, spin systems, binary alloys.
Received: September 2005; Revised: October 2005; Published: January 2006.
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