Asymptotic analysis of a ferromagnetic lattice spin system with diffuse   interfacial energy
  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. 
Andrea Braides, Andrea Causin, Margherita Solci
math.AP math-ph math.MP