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arXiv · 1007.4144

Scaling Properties of Weak Chaos in Nonlinear Disordered Lattices

Arkady Pikovsky·Shmuel Fishman
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Abstract

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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Arkady Pikovsky, Shmuel Fishman. 2010-07-23. Scaling Properties of Weak Chaos in Nonlinear Disordered Lattices. https://doi.org/10.1103/physreve.83.025201

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