Asymptotic analysis of a ferromagnetic lattice spin system with diffuse interfacial energy
arXiv:1610.04158
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.