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NONERGODICITY, ACCELERATOR MODES, AND ASYMPTOTIC QUADRATIC-IN-TIME DIFFUSION IN A CLASS OF VOLUME-PRESERVING MAPS
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UNSPECIFIED (1995) NONERGODICITY, ACCELERATOR MODES, AND ASYMPTOTIC QUADRATIC-IN-TIME DIFFUSION IN A CLASS OF VOLUME-PRESERVING MAPS. PHYSICAL REVIEW E, 52 (3 Part B). pp. 3215-3217.
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Abstract
Using an elementary application of Birkhoff's ergodic theorem, we give necessary and sufficient conditions for the existence of asymptotically n(2) diffusion (where n is an integer representing discrete time) in the angle variables in a class of volume-preserving twist maps. We show that nonergodicity is the dynamical mechanism giving rise to this behavior. The influence of accelerator modes on diffusion is described. We discuss how additive noise changes the diffusive behavior and we investigate the effective-diffusivity dependence on bare diffusivity and accelerator modes. In particular, we find that the dependence-of the effective-diffusivity coefficient on bare-diffusivity is universal for small values of bare-diffusivity coefficient sigma if asymptotic n(2) diffusion is present in the sigma = 0 case.
Item Type: | Journal Item | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | PHYSICAL REVIEW E | ||||
Publisher: | AMERICAN PHYSICAL SOC | ||||
ISSN: | 1063-651X | ||||
Official Date: | September 1995 | ||||
Dates: |
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Volume: | 52 | ||||
Number: | 3 Part B | ||||
Number of Pages: | 3 | ||||
Page Range: | pp. 3215-3217 | ||||
Publication Status: | Published |
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