Dimension reduction for discrete systems

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  • Marco Cicalese

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https://doi.org/10.1685/

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Object of this talk is the description of the overall behaviour of variational pair-interaction lattice systems defined on `thin' domains of M37_Cicalese0.png; i.e. on domains consisting on a finite number of mutually interacting copies of a portion of a M37_Cicalese1.png-dimensional discrete lattice. In drawing a parallel with the analog theories for `continuous' thin films, we show that new phenomena arise due to the different nature of the microscopic interactions, and in particular that for long-range interactions the effective behaviour of the system depends in a non-trivial way on the number of layers. [DOI: 10.1685 / CSC06046] About DOI

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2007-10-01

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##issue.vol## 1 (2006)

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Articles

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