Presentation
Breathers and surface modes in oscillator chains with Hertz ian interactions
Author/s | James, Guillaume
Cuevas-Maraver, Jesús ![]() ![]() ![]() ![]() ![]() ![]() ![]() Kevrekidis, Panayotis G. |
Department | Universidad de Sevilla. Departamento de Física Aplicada I |
Publication Date | 2012 |
Deposit Date | 2015-06-05 |
Published in |
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Abstract | We study localized waves in chains of oscillators coupled by Hertzian interactions and trapped in local potentials. This problem is originally motivated by Newton's cradle, a mechanical system consisting of a chain of ... We study localized waves in chains of oscillators coupled by Hertzian interactions and trapped in local potentials. This problem is originally motivated by Newton's cradle, a mechanical system consisting of a chain of touching beads subject to gravity and attached to inelastic strings. We consider an unusual setting with local oscillations and collisions acting on similar time scales, a situation corresponding e.g. to a modified Newton's cradle with beads mounted on stiff cantilevers. Such systems support static and traveling breathers with unusual properties, including double exponential spatial decay, almost vanishing Peierls-Nabarro barrier and spontaneous direction-reversing motion. We prove analytically the existence of surface modes and static breathers for anharmonic on-site potentials and weak Hertzian interactions. |
Funding agencies | Ministerio de Ciencia e Innovación (MICIN). España |
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