3 years ago

Nonlinear Excitations in Magnetic Lattices with Long-Range Interactions.

Alejandro J. Martínez, Miguel Molerón, Chiara Daraio, Mason A. Porter, P. G. Kevrekidis, C. Chong

We study - experimentally, theoretically, and numerically - nonlinear excitations in lattices of magnets with long-range interactions. We examine breather solutions, which are spatially localized and periodic in time, in a chain with algebraically-decaying interactions. It was established two decades ago [S. Flach, Phys. Rev. E 58, R4116 (1998)] that lattices with long-range interactions can have breather solutions in which the spatial decay of the tails has a crossover from exponential to algebraic decay. In this Letter, we revisit this problem in the setting of a chain of repelling magnets with a mass defect and verify, both numerically and experimentally, the existence of breathers with such a crossover.

Publisher URL: http://arxiv.org/abs/1801.09560

DOI: arXiv:1801.09560v1

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