TY  - JOUR
A1  - Mulansky, Mario
A1  - Pikovskij, Arkadij
T1  - Energy spreading in strongly nonlinear disordered lattices
JF  - New journal of physics : the open-access journal for physics
N2  - We study the 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 packets. 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 show 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.
Y1  - 2013
U6  - https://doi.org/10.1088/1367-2630/15/5/053015
SN  - 1367-2630
VL  - 15
IS  - 5
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -