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.
Braides, A. (2018). Rigidity effects for antiferromagnetic thin films: A prototypical example. In E.Rocca et al. (a cura di), Trends in Applications of Mathematics to Mechanics (pp. 205-216). Springer International Publishing [10.1007/978-3-319-75940-1_10].
Rigidity effects for antiferromagnetic thin films: A prototypical example
Braides, Andrea
2018-01-01
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.| File | Dimensione | Formato | |
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