Two geometric lemmas for S^N-1-valued maps and an application to the\n homogenization of spin systems

2020/10/27 by Andrea Braides, Braides, Andrea, Valerio Vallocchia +1
Computer Science · #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.2010.14280

Abstract

We prove two geometric lemmas for S^N-1-valued functions that allow to\nmodify sequences of lattice spin functions on a small percentage of nodes\nduring a discrete-to-continuum process so as to have a fixed average. This is\nused to simplify known formulas for the homogenization of spin systems.\n

Citations

• <i>The Physics of Liquid Crystals</i>

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