%0 Journal Article
%T Energy Spreading in Strongly Nonlinear Disordered Lattices
%A M. Mulansky
%A A. Pikovsky
%J Physics
%D 2012
%I arXiv
%R 10.1088/1367-2630/15/5/053015
%X We study scaling properties of energy spreading in disordered strongly nonlinear Hamiltonian lattices. Such lattices consist of nonlinearly coupled local linear or nonlinear oscillators, and demonstrate a rather slow, subdiffusive spreading of initially localized wave p ackets. We use a fractional nonlinear diffusion equation as a heuristic model of this process, and confirm that the scaling predictions resulting from a self-similar solution of this equation are indeed applicable to all studied cases. We s how that the spreading in nonlinearly coupled linear oscillators slows down compared to a pure power law, while for nonlinear local oscillators a power law is valid in the whole studied range of parameters.
%U http://arxiv.org/abs/1205.3592v2