Nonlinear Excitations in Magnetic Lattices with Long-Range Interactions
Pattern Formation and Solitons
2019-07-24 v1 Other Condensed Matter
Mathematical Physics
Dynamical Systems
math.MP
Chaotic Dynamics
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.
Cite
@article{arxiv.1801.09560,
title = {Nonlinear Excitations in Magnetic Lattices with Long-Range Interactions},
author = {Miguel Molerón and C. Chong and Alejandro J. Martínez and Mason A. Porter and P. G. Kevrekidis and Chiara Daraio},
journal= {arXiv preprint arXiv:1801.09560},
year = {2019}
}