Transitions from deterministic to stochastic diffusion

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...

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Bibliographic Details
Published in:Europhysics letters 2002-03, Vol.57 (6), p.796-802
Main Author: Klages, R
Format: Article
Language:English
Subjects:
05.40.Jc
05.45.Ac
05.60.Cd
Brownian motion
Classical chaos
Classical transport
Exact sciences and technology
Fluctuation phenomena, random processes, noise, and brownian motion
Low-dimensional chaos
Nonlinear dynamics and nonlinear dynamical systems
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Transport processes
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Summary: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.
ISSN:0295-5075
1286-4854
DOI:10.1209/epl/i2002-00581-4