Scaling Properties of Weak Chaos in Nonlinear Disordered Lattices

Arkady Pikovsky; Shmuel Fishman

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Scaling Properties of Weak Chaos in Nonlinear Disordered Lattices

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arxiv 1007.4144 v2 pith:OG7CIUQH submitted 2010-07-23 nlin.CD cond-mat.dis-nn

Arkady Pikovsky , Shmuel Fishman This is my paper

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keywords systemnonlinearpotentialpropertiesrandomscalingasymptoticbeyond

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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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