Kinks in a Chain of Magnetic Coupled Pendulums: Experimental and Numerical Study

Abstract

A motivation for the study of reduced models like one-dimensional systems in Solid State Physics is the complexity of the full problem. In recent years our group has studied theoretically, numerically and experimentally wave propagation in lattices of nonlinearly coupled oscillators. Here, we present the dynamics of magnetically coupled pendula lattices. These macroscopic systems can model the dynamical processes of matter or layered systems. We report the results obtained for harmonic wave propagation in these media, and the different regimes of mode conversion into higher harmonics strongly influenced by dispersion and discreteness, including the phenomenon of acoustic dilatation of the chain, as well as some results on the propagation of localized waves i.e., solitons and kinks. In: Proceedings of the 2018 International Symposium on Nonlinear Theory and its Applications (NOLTA2018), Tarragona, Spain, September 2-6, 2018, p. 513

@inproceedings{RaffiNOLTA2018chain,
 author = {Lluis M García-Raffi and LJ Salmerón-Contreras and N. Jiménez and A Mehrem and VJ Sánchez-Morcillo and JFR Archilla},
 booktitle = {NOLTA 2018: 2018 International Symposium on Nonlinear Theory and its Applications. Tarragona, Spain. 2 - 6 September},
 doi = {https://www.ieice.org/nolta/symposium/archive/2018/HP/cfp/nolta18_cfp.pdf},
 editor = {Conference proceedings},
 isbn = {ISSN: -},
 month = {6},
 organization = {Institute of Electronics, Information and Communication Engineers (IEICE)},
 pages = {515-517},
 publisher = {NOLTA Society},
 series = {Oral},
 title = {Kinks in a Chain of Magnetic Coupled Pendulums: Experimental and Numerical Study},
 url = {https://www.ieice.org/nolta/symposium/archive/2018/HP/index.html},
 year = {2018}
}