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arXiv · 1801.09560

Nonlinear Excitations in Magnetic Lattices with Long-Range Interactions

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

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.

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Miguel Molerón, C. Chong, Alejandro J. Martínez, Mason A. Porter, P. G. Kevrekidis, Chiara Daraio. 2018-01-29. Nonlinear Excitations in Magnetic Lattices with Long-Range Interactions. https://doi.org/10.1088/1367-2630/ab0118

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