Nonlinear lattice waves in heterogeneous media
Disordered Systems and Neural Networks
2015-06-22 v1 Chaotic Dynamics
Abstract
We review recent progress in the dynamics of nonlinear lattice waves in heterogeneous media, which enforce complete wave localization in the linear wave equation limit, especially Anderson localization for random potentials, and Aubry-Andre localization for quasiperiodic potentials. Additional nonlinear terms in the wave equations can either preserve the phase-coherent localization of waves, or destroy it through nonintegrability and deterministic chaos. Spreading wave packets are observed to show universal features in their dynamics which are related to properties of nonlinear diffusion equations.
Cite
@article{arxiv.1407.1441,
title = {Nonlinear lattice waves in heterogeneous media},
author = {T. V. Laptyeva and M. V. Ivanchenko and S. Flach},
journal= {arXiv preprint arXiv:1407.1441},
year = {2015}
}
Comments
62 pages, 25 figures. arXiv admin note: text overlap with arXiv:1405.1122