NDLI: Random Walks in the Standard Map

Content Provider	Scilit
Author	Zumofen, G. Klafter, J.
Copyright Year	1994
Description	Journal: Europhysics Letters A random walk description of enhanced diffusion generated in the standard map is introduced using Lévy walk statistics which is based on a generalization of the central-limit theorem and leads to non-Brownian motion. Calculations of the waiting-time distribution of an orbit to stay in a laminar phase and of the distribution of exit times are presented and shown to follow power laws with exponent γ. The propagator P(r, t) obeys a scaled Lévy distribution $t^{−1/γ}$ f(ξ) with f(ξ) ~ $exp[−cξ^{2}$] for ξ 1 and f(ξ) ~ $ξ^{−1 −γ}$ for ξ 1; ξ = $\|r\|/t^{1/γ}$.
Related Links	http://iopscience.iop.org/article/10.1209/0295-5075/25/8/002/pdf
Ending Page	570
Page Count	6
Starting Page	565
ISSN	02955075
e-ISSN	12864854
DOI	10.1209/0295-5075/25/8/002
Journal	Europhysics Letters
Issue Number	8
Volume Number	25
Language	English
Publisher	IOP Publishing
Publisher Date	1994-03-10
Access Restriction	Open
Subject Keyword	Journal: Europhysics Letters Mathematical Physics Power Law Random Walk Brownian Motion Central Limit Theorem
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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Random Walks in the Standard Map