Transport and generation of macroscopically modulated waves in diatomic chains

Details Transport and generation of macroscopically modulated waves in diatomic chains Transport and generation of macroscopically modulated waves in diatomic chains

2011-05-08

arxiv.org/abs/1105.1552v1

Physics

Mathematical Physics

10 pages

Scientific paper

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.

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