Dimension reduction for discrete systems

Marco Cicalese

Abstract


Object of this talk is the description of the overall behaviour
of variational pair-interaction lattice systems defined on
`thin' domains of ; i.e. on domains consisting
on a finite number of mutually interacting copies of a portion
of a -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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DOI: http://dx.doi.org/10.1685/




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