One-parameter scaling theory for stationary states of disordered nonlinear systems.
We show, using detailed numerical analysis and theoretical arguments, that the normalized participation number of the stationary solutions of disordered nonlinear lattices obeys a one-parameter scaling law. Our approach opens a new way to investigate the interplay of Anderson localization and nonlinearity based on the powerful ideas of scaling theory.
Bodyfelt
Joshua D
JD
Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA.
Kottos
Tsampikos
T
Shapiro
Boris
B