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