Scaling of energy spreading in strongly nonlinear disordered lattices

Details Scaling of energy spreading in strongly nonlinear disordered lattices Scaling of energy spreading in strongly nonlinear disordered lattices

2010-07-20

arxiv.org/abs/1007.3427v2

Nonlinear Sciences

Chaotic Dynamics

4 pages , 4 figures

Scientific paper

To characterize a destruction of Anderson localization by nonlinearity, we study the spreading behavior of initially localized states in disordered, strongly nonlinear lattices. Due to chaotic nonlinear interaction of localized linear or nonlinear modes, energy spreads nearly subdiffusively. Based on a phenomenological description by virtue of a nonlinear diffusion equation we establish a one-parameter scaling relation between the velocity of spreading and the density, which is confirmed numerically. From this scaling it follows that for very low densities the spreading slows down compared to the pure power law.

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