We study the asymptotic behaviour, as the mesh size tends to zero, of a class of discrete energies under very general assumptions that cover the case of bounded and unbounded spin systems, leading to variational limits of integral type. The cases of homogenization and of non-pairwise interacting systems (e.g. multiple-exchange spin systems) are also discussed.
Variational description of bulk energies for bounded and unbounded spin systems / Alicandro, Roberto; Cicalese, M; Gloria, A.. - In: NONLINEARITY. - ISSN 0951-7715. - 21:(2008), pp. 1881-1910. [10.1088/0951-7715/21/8/008]
Variational description of bulk energies for bounded and unbounded spin systems
ALICANDRO, Roberto;
2008
Abstract
We study the asymptotic behaviour, as the mesh size tends to zero, of a class of discrete energies under very general assumptions that cover the case of bounded and unbounded spin systems, leading to variational limits of integral type. The cases of homogenization and of non-pairwise interacting systems (e.g. multiple-exchange spin systems) are also discussed.File in questo prodotto:
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