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APPLICATION OF FOKKER-PLANCK EQUATION IN THE RESEARCH OF BEAM LONGITUDINAL INSTABILITY

Jun Ge

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Abstract

We introduce the research status of the beam longitudinal instability based on the mode coupling theory. After compared the different work we derive the Fokker-Planck equation from the equation of particle motion, and try to obtain the solution of the distribution equation including the potential well distortion.

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What this paper is about

We introduce the research status of the beam longitudinal instability based on the mode coupling theory. After compared the different work we derive the Fokker-Planck equation from the equation of particle motion, and try to obtain the solution of the distribution equation including the potential well distortion.

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Available abstract

We introduce the research status of the beam longitudinal instability based on the mode coupling theory. After compared the different work we derive the Fokker-Planck equation from the equation of particle motion, and try to obtain the solution of the distribution equation including the potential well distortion.

Key concepts: Fokker–Planck equation, Instability, Physics, Work (physics), Planck, Beam (structure), Distortion (music), Classical mechanics

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