Nonlinear excitations in magnetic lattices with long-range interactions
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jun 01, 2019
- Source ID
- 10.1088/1367-2630/ab0118
Entities
People
- Alejandro J. Martínez
- C. Chong
- Chiara Daraio
- Mason Porter
- Miguel Molerón
- Panayotis G. Kevrekidis
Organizations
- Air Force Office of Scientific Research
- FONDEF
- National Science Foundation Directorate for Mathematical & Physical Sciences
- Office of Emerging Frontiers and Multidisciplinary Activities