# Asymptotic analysis of a ferromagnetic Ising system with "diffuse" interfacial energy

created by braidesa on 13 Oct 2016
modified on 12 Mar 2018

[BibTeX]

Published Paper

Inserted: 13 oct 2016
Last Updated: 12 mar 2018

Journal: Ann.Mat.Pura Appl
Volume: 197
Number: 2
Pages: 583-604
Year: 2018
Doi: 10.1007/s10231-017-0693-9

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 $L$.