Arkady Pikovsky - University of Potsdam # Energy Spreading in Strongly Nonlinear Lattices # We consider spreading of an initially localized wave packet on top of vacuum in strongly nonlinear disordered lattices in one and two dimensions. Disorder prevents regular wave propagation, so the spreading is subdiffusive. We use a nonlinear diffusion equation as a phenomenological model to establish scaling relations for the spreading, and check these relations for different types of lattices.

In collaboration with M. Mulansky