Transitions from deterministic to stochastic diffusion

Abstract

We examine characteristic properties of deterministic and stochastic diffusion in low-dimensional chaotic dynamical systems. As an example, we consider a periodic array of scatterers defined by a simple chaotic map on the line. Adding different types of time-dependent noise to this model we compute the diffusion coefficient from simulations. We find that there is a crossover from deterministic to stochastic diffusion under variation of the perturbation strength related to different asymptotic laws for the diffusion coefficient. Typical signatures of this scenario are suppression and enhancement of normal diffusion. Our results are explained by a simple theoretical approximation.

6 pages (revtex) with 3 figures (postscript)

References in corpus (2)

• Noise suppression by noise
• Quenched Disorder Effects on Deterministic Inertia Ratchets

Cited by in corpus (8)

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• Stochastic perturbations in open chaotic systems: random versus noisy maps
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• Transition to anomalous dynamics in a simple random map
• Self-driven criticality in a stochastic epidemic model
• Escape-rate response to noise of all amplitudes in leaky chaos