Book Chapter- Trends in Applications of Mathematics to Mechanics (E.Rocca et al, eds) Springer
Inserted: 31 mar 2017
Last Updated: 30 apr 2018
Year: 2018
Doi: 10.1007/978-3-319-75940-1_10
Abstract:
We consider two-dimensional discrete thin films obtained from $N$ layers of a triangular lattice, governed by an antiferromagnetic energy. By a dimension-reduction analysis we show that, in contrast with the ``total frustration'' of the triangular lattice, the overall behaviour of the thin film is described by a limit interfacial energy on functions taking $2^N$ distinct parameters. In a sense, then the total frustration is recovered as $N$ tends to infinity.
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