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arxiv: 1610.04158 · v1 · pith:CP674QTTnew · submitted 2016-10-13 · 🧮 math.AP · math-ph· math.MP

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

classification 🧮 math.AP math-phmath.MP
keywords energyspinaccountadmitsanalysisapproximationasymptoticboundary
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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.

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