title: Scaling properties of weak chaos in nonlinear disordered lattices.
abstract: We study the discrete nonlinear Schrödinger equation with a random potential in one dimension. It is characterized by the length, the strength of the random potential, and the field density that determines the effect of nonlinearity. Following the time evolution of the field and calculating the largest Lyapunov exponent, the probability of the system to be regular is established numerically and found to be a scaling function of the parameters. This property is used to calculate the asymptotic properties of the system in regimes beyond our computational power.
authors.affiliation: Department of Physics and Astronomy, Potsdam University, Karl-Liebknecht-Strasse 24, D-14476 Potsdam, Germany.
authors.forename: Arkady
authors.initials: A
authors.lastname: Pikovsky
authors.forename: Shmuel
authors.initials: S
authors.lastname: Fishman