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Prog. Theor. Phys. Supplement No.161 (2006) pp. 270-273
Crossover between Ballistic and Normal Diffusion
Syuji Miyazaki
Department of Applied Analysis and Complex Dynamical Systems,
Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan
(Received June 23, 2005)
Abstract:
Crossover between ballistic motion and normal diffusion
is studied based on the continuous-time random walk (CTRW) approach
in order to analyze universal properties of
strongly correlated motion and the decay process of correlation
in deterministic diffusion.
There exists a characteristic time scale τ.
For the time region t ≪τ, ballistic motion is observed,
which is followed by normal diffusion for t ≫τ.
Higher-order moments are analytically obtained,
and it is found that they obey scaling relations
that are reminiscent of the generalized extended self-similarity (GESS)
found in turbulent systems.
As a simple dynamical system for numerical simulations,
the climbing sine map in the vicinity of band crisis is considered.
Good agreement between the theory and the numerical simulations is observed.
URL :
http://ptp.ipap.jp/link?PTPS/161/270/
DOI : 10.1143/PTPS.161.270
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Citing Article(s) :
-
Journal of the Physical Society of Japan 80 (2011) 044001
(6 pages) :
-
Chaos-Induced Diffusion in a Nonlinear Dissipative Mathieu Equation for a Charged Fine Particle in an AC Trap
-
Ryuji Ishizaki, Hiroki Hata, and Tatsuo Shoji
