Inserted: 12 oct 2005
Last Updated: 27 dec 2006
Journal: Networks and Heterogeneous Media
We study nearest- and next-to-nearest neighhbour systems of binary lattice interactions via Gamma-convergence, showing the appearance of phase and anti-phase boundaries. We explicitly compute the Gamma-limit, whose form highlights anisotropies and entails sharp and `diffuse' discrete interfaces.
Keywords: Gamma-convergence, discrete systems, anti-phase boundaries, discrete-to-continuous limits, binary alloys, spin systems