Published Paper
Inserted: 27 oct 2020
Last Updated: 3 sep 2021
Journal: COCV
Volume: 27
Pages: 13
Year: 2020
Doi: 10.1051/cocv/2021007
Abstract:
We prove two geometric lemmas for $S^{N-1}$-valued functions that allow to modify sequences of lattice spin functions on a small percentage of nodes during a discrete-to-continuum process so as to have a fixed average. This is used to simplify known formulas for the homogenization of spin systems.
Keywords: Homogenization, discrete systems, spin systems, lattice energies, discrete-to-continuum, Liquid crystals
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