Effect of Noise on the Standard Mapping

Abstract

The effect of a small amount of noise on the standard mapping is considered. Whenever the standard mapping possesses accelerator modes (where the action increases approximately linearly with time), the diffusion coefficient contains a term proportional to the reciprocal of the variance of the noise term. At large values of the stochasticity parameter, the accelerator modes exhibit a universal behavior. As a result the dependence of the diffusion coefficient on the stochasticity parameter also shows some universal behavior.

Plain TeX, 18 pages, 4 figures

References in corpus (1)

• Stochastic Ion Heating by a Lower Hybrid Wave: II

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