TY  - JOUR
A1  - Pikovskij, Arkadij
A1  - Fishman, Shmuel
T1  - Scaling properties of weak chaos in nonlinear disordered lattices
JF  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - We study the discrete nonlinear Schrodinger 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.
Y1  - 2011
U6  - https://doi.org/10.1103/PhysRevE.83.025201
SN  - 1539-3755
SN  - 1550-2376
VL  - 83
IS  - 2
PB  - American Physical Society
CY  - College Park
ER  -