Stochastic motion of the untrapped particle in electrostatic mode

ZHU Xiong-Wei

doi:10.1088/1674-1137/34/3/021

Chinese Physics C> 2010, Vol. 34> Issue(3) : 409-411 DOI: 10.1088/1674-1137/34/3/021

Stochastic motion of the untrapped particle in electrostatic mode

ZHU Xiong-Wei ^,

Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China

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Abstract：
The stochastic energy diffusion of the untrapped particle in the electrostatic mode is investigated analytically. We find that the equilibrium electrostatic field of periodical structure plays the same role as the usual focusing magnetic field to lead the test particle to stochastic motion. The resonance overlapping criterion for the random state is given, and also the Fokker-Planck-Kolmogorov approach to diffusion is considered for our system.

References

[1]

Menyuk C R,Drobot A T,Papadopoulos K.Phys.Rev.Lett.,1987,58:20712 Akimoto K,Karimabadi H.Phys.Fluids,1988,31:15053 Menyuk C R et al.Phys.Fluids,1988,31:37684 Karimabadi H et al.Phys.Fluids B,1990,2:6065 Farina D et al.Phys.Fluids B,1993,5:1046 Krall N A,Trivelpiece A W.Principles of Plasma Physics.McGraw-Hill Book Company,19737 Chirikov B V.Phys.Rep.,1979,52:2638 Lichtenberg A J,Lieberman M A.Reguiar and Stochastic Motion.Springer-Verlag Berlin,19839 Sagdeev R Z.Nonlinear Physics from the Pendulum to Turbulence and Chaos.Harwood Academic Publishers,198810 Abarbanel H D I.Physica D,1981,4:89

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ZHU Xiong-Wei. Stochastic motion of the untrapped particle in electrostatic mode[J]. Chinese Physics C, 2010, 34(3): 409-411. doi: 10.1088/1674-1137/34/3/021

ZHU Xiong-Wei. Stochastic motion of the untrapped particle in electrostatic mode[J]. Chinese Physics C, 2010, 34(3): 409-411. doi: 10.1088/1674-1137/34/3/021 shu

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Received: 2009-06-08
Revised: 2009-08-31

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沈阳化工大学材料科学与工程学院沈阳 110142

Stochastic motion of the untrapped particle in electrostatic mode

ZHU Xiong-Wei ^,

Corresponding author: ZHU Xiong-Wei,

Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China

Received Date: 2009-06-08
Accepted Date: 2009-08-31
Available Online: 2010-03-05

Abstract:

The stochastic energy diffusion of the untrapped particle in the electrostatic mode is investigated analytically. We find that the equilibrium electrostatic field of periodical structure plays the same role as the usual focusing magnetic field to lead the test particle to stochastic motion. The resonance overlapping criterion for the random state is given, and also the Fokker-Planck-Kolmogorov approach to diffusion is considered for our system.