Stochastic motion of the untrapped particle in electrostatic mode

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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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Stochastic motion of the untrapped particle in electrostatic mode

    Corresponding author: ZHU Xiong-Wei,
  • Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China

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.

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