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

スポンサーリンク

概要

• 論文の詳細を見る

• 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 (\theta-dependent) term. The potential U(r,\theta,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 \theta. The distribution function f(\tau) 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 xy-plane. The time-correlation function C(\tau) of v_{\theta} also has an exponential decay form as a result of the lifetime distribution function f(\tau). The scaling function of the MSD of \theta(\tau) is derived using the correlation time \tau_{\text{c}} of C(\tau).

• 2011-04-15

著者

• Ishizaki Ryuji

  Faculty Of Integrated Human Studies And Social Sciences Fukuoka Prefectural University

• Hata Hiroki

  Graduate School Of Nutrition And Environmental Sciences University Of Shizuoka

• SHOJI Tatsuo

  Graduate School of Engineering, Nagoya University

• Ishizaki Ryuji

  Faculty of Integrated Human Studies and Social Sciences, Fukuoka Prefectural University, Tagawa, Fukuoka 825-8585, Japan

関連論文

• Non-Stationary Anomalous Diffusion Produced by a Generalized Shift Map (General)
• Pathological Anomalous Diffusion Generated by a Generalized Shift Map
• The Memory Function and Chaos-Induced Friction in the Chaotic Henon-Heiles System(Condensed Matter and Statistical Physics)
• Effects of External Noise on Anomalous Diffusion in Hamiltonian Dynamical Systems
• Anomalous Diffusion Induced by External Force in the Standard Map : Condensed Matter and Statistical Physics
• Application of Tsallis Nonextensive Statistics to the Anomalous Diffusion of the Standard Map(Condensed Matter and Statistical Physics)
• Anomalous Diffusion Induced by Random Walks with Hierarchical Long-Range Memory(General)
• Anomalous Diffusion Induced by External Force in the Standard Map. II : Condensed Matter and Statistical Physics
• Chaos-Induced Diffusion in a Nonlinear Dissipative Mathieu Equation for a Charged Fine Particle in an AC Trap
• High cell-density expression system : A novel method for extracellular production of difficult-to-express proteins(GENETICS, MOLECULAR BIOLOGY, AND GENE ENGINEERING)
• Low Aspect Ratio Plasma in Tokamak-Helical Hybrid Device TOKASTAR-2
• Anomalous Diffusion Induced by External Force in the Standard Map. II : Condensed Matter and Statistical Physics

もっと見る 閉じる

スポンサーリンク