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 2N distinct parameters. In a sense, then the total frustration is recovered as N tends to infinity.
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Acknowledgements
This work stems from very inspiring discussions with Roberto Alicandro and Marco Cicalese at TU Munich.
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Braides, A. (2018). Rigidity Effects for Antiferromagnetic Thin Films: A Prototypical Example. In: Rocca, E., Stefanelli, U., Truskinovsky, L., Visintin, A. (eds) Trends in Applications of Mathematics to Mechanics. Springer INdAM Series, vol 27. Springer, Cham. https://doi.org/10.1007/978-3-319-75940-1_10
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DOI: https://doi.org/10.1007/978-3-319-75940-1_10
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