# Asymptotic analysis of a ferromagnetic lattice spin system with diffuse interfacial energy

created by braidesa on 13 Oct 2016
modified on 19 Oct 2016

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Submitted Paper

Inserted: 13 oct 2016
Last Updated: 19 oct 2016

Year: 2016

Abstract:

We give an example of a one-dimensional scalar spin energy with long-range interactions not satisfying standard decay conditions and which admits a continuum approximation defined for functions $u$ in $BV((0,L),[-1,1])$ taking into account the total variation of $u$. Related minimum problems show boundary and size effects in dependence of $L$.