Scaling Properties of Weak Chaos in Nonlinear Disordered Lattices

Details Scaling Properties of Weak Chaos in Nonlinear Disordered Lattices Scaling Properties of Weak Chaos in Nonlinear Disordered Lattices

2010-07-23

arxiv.org/abs/1007.4144v2

Phys. Rev. E, v. 83, 025201(R) (2011)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 figures

Scientific paper

The Discrete Nonlinear Schroedinger Equation with a random potential in one dimension is studied as a dynamical system. It is characterized by the length, the strength of the random potential and by the field density that determines the effect of nonlinearity. The probability of the system to be regular is established numerically and found to be a scaling function. This property is used to calculate the asymptotic properties of the system in regimes beyond our computational power.

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