Nonlinear excitations in magnetic lattices with long-range interactions

• Published in: New journal of physics Vol. 21; no. 6; pp. 63032 - 63039
• Main Authors: Molerón, Miguel, Chong, C, Martínez, Alejandro J, Porter, Mason A, Kevrekidis, P G, Daraio, Chiara
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 24-06-2019
• Subjects: breather; Breathers; Chains; Decay; defect; Excitation; Fermi-Pasta-Ulam-Tsingou lattice; Lattices (mathematics); long-range interactions; magnetic; Magnets; non-local; nonlinear lattice; Physics
• ISSN: 1367-2630; 1367-2630
• DOI: 10.1088/1367-2630/ab0118

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.