Chaos-Induced Diffusion in a Nonlinear Dissipative Mathieu Equation for a Charged Fine Particle in an AC Trap

Charged fine particles confined in an AC trap exhibit either periodic motion or irregular motion, depending on the frequency and amplitude of the AC electric field. This motion was analyzed using an idealized electric field model with a nonlinear term in the radial direction ( r ) and an angular (.....

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Bibliographic Details
Published in:Journal of the Physical Society of Japan 2011-04, Vol.80 (4), p.1-1
Main Authors: Ishizaki, Ryuji, Hata, Hiroki, Shoji, Tatsuo
Format: Article
Language:English
Subjects:
Alternating current
Chaos theory
Charged particles
Diffusion
Electric fields
Mathematical analysis
Mathematical models
Nonlinear equations
Nonlinearity
Physics
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Summary:Charged fine particles confined in an AC trap exhibit either periodic motion or irregular motion, depending on the frequency and amplitude of the AC electric field. This motion was analyzed using an idealized electric field model with a nonlinear term in the radial direction ( r ) and an angular (...-dependent) term. The potential U ( r ,..., z , t ) generates a rotational diffusion of chaotic orbits, and a transition from ballistic motion to diffusive motion was observed in the mean square displacement (MSD) of ... The distribution function f (...) for the lifetime of angular unidirectional motion is exponential. This exponential distribution is produced by the chaotic switching between clockwise and anticlockwise rotations of orbits on the x y -plane. The time-correlation function C (...) of v ... also has an exponential decay form as a result of the lifetime distribution function f (...). The scaling function of the MSD of ...(...) is derived using the correlation time ... ... of C (...). (ProQuest: ... denotes formulae/symbols omitted.)
ISSN:0031-9015
1347-4073