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arXiv · 1610.04158

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

Andrea Braides·Andrea Causin·Margherita Solci
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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.

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Andrea Braides, Andrea Causin, Margherita Solci. 2016-10-13. Asymptotic analysis of a ferromagnetic lattice spin system with diffuse interfacial energy. https://arxiv.org/abs/1610.04158

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