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Title: Nonlinear excitations in magnetic lattices with long-range interactions

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 (Flach 1998Phys. Rev.E58R4116) 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 article, 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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Publisher / Repository:
IOP Publishing
Date Published:
Journal Name:
New Journal of Physics
Page Range / eLocation ID:
Article No. 063032
Medium: X
Sponsoring Org:
National Science Foundation
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