Transport and generation of macroscopically modulated waves in diatomic chains
Mathematical Physics
2011-05-10 v1 math.MP
Abstract
We derive and justify analytically the dynamics of a small macroscopically modulated amplitude of a single plane wave in a nonlinear diatomic chain with stabilizing on-site potentials including the case where a wave generates another wave via self-interaction. More precisely, we show that in typical chains acoustical waves can generate optical but not acoustical waves, while optical waves are always closed with respect to self-interaction.
Keywords
Cite
@article{arxiv.1105.1552,
title = {Transport and generation of macroscopically modulated waves in diatomic chains},
author = {Johannes Giannoulis},
journal= {arXiv preprint arXiv:1105.1552},
year = {2011}
}
Comments
10 pages