Published Paper
(2006)
Journal: Networks and Heterogeneous Media
Volume: 1
Pages: 85-107
Keywords:
Gamma-convergence, discrete systems, anti-phase boundaries, discrete-to-continuous limits, binary alloys, spin systems
Abstract.
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.
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