Document Type
Article
Publication Date
6-24-2019
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 (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.
Recommended Citation
Molerón, Miguel; Chong, C.; Martínez, Alejandro J.; Porter, Mason A.; Kevrekidis, P. G.; and Daraio, Chiara, "Nonlinear excitations in magnetic lattices with long-range interactions" (2019). Mathematics Faculty Publications. 6.
https://digitalcommons.bowdoin.edu/mathematics-faculty-publications/6