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arXiv physics/0001073physics.acc-phnlin.PSphysics.plasm-ph
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强强子束斑图的形成。振幅方程法

Formation of Patterns in Intense Hadron Beams. The Amplitude Equation Approach

Stephan I. Tzenov

摘要:

研究了在单共振波作用下束粒子的纵向运动。基于多尺度的方法,我们推导出一个系统的耦合振幅方程的纵向分布函数的缓慢变化的部分和谐振器的波包络,对应于一个任意的波数。控制电压包络的缓慢演变的方程被证明是Ginzburg-Landau型。

英文摘要:

We study the longitudinal motion of beam particles under the action of a single resonator wave induced by the beam itself. Based on the method of multiple scales we derive a system of coupled amplitude equations for the slowly varying part of the longitudinal distribution function and for the resonator wave envelope, corresponding to an arbitrary wave number. The equation governing the slow evolution of the voltage envelope is show to be of Ginzburg-Landau type.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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