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Published June 2019 | Submitted + Published
Journal Article Open

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 1998 Phys. Rev. E 58 R4116) 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.

Additional Information

© 2019 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Received 7 December 2018; Accepted 23 January 2019; Accepted Manuscript online 23 January 2019; Published 24 June 2019. This material is based upon work supported by the National Science Foundation under Grant No. DMS-1615037 (CC), DMS-1809074 (PGK), and EFRI Grant No. 1741565 (CD). AJM acknowledges support from CONICYT(BCH72130485/2013), Proyecto de FinanciamientoBasal PFB16, and Apoyo a Centros Tecnológicos con Financiamiento Basal AFB 170004. PGK gratefully acknowledges support from the US-AFOSR via FA9550-17-1-0114. MAP thanks C. J. Lustri for insightful discussions.

Attached Files

Published - Molerón_2019_New_J._Phys._21_063032.pdf

Submitted - 1801.09560.pdf


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August 19, 2023
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