THE ROLE OF HIGHER MOMENTS ON THE DISTRIBUTION OF PARTICLES IN THE SPACE OF IMPULSES AT CYCLOTRON RESONANCES

IF 0.5 Q4 PHYSICS, NUCLEAR

Problems of Atomic Science and Technology Pub Date : 2023-08-21 DOI:10.46813/2023-146-016

V. Buts, V. Kuzmin

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Abstract

The results of the analysis of the dynamics of charged particles under conditions of cyclotron resonances in the field of an intense electromagnetic wave are presented. Particular attention is paid to regimes with dynamic chaos. It is shown that there are two qualitatively different regimes. The appearance of the first one is due to the overlap of nonlinear cyclotron resonances. The second mode is related to intermittency. The moments and spectra of each of these regimes are determined. It is shown that with an increase in the intensity of an external electromagnetic wave, the first regime appears at the beginning and only then the second regime appears. A characteristic feature of the second regime is intermittency. Steps appear on the time dynamics of pulses in the second mode. It is shown that the spectra in the second mode are narrower than in the first mode. A characteristic feature of the second regime (the regime with intermittency) is the fact that the higher moments turn out to be larger than the lower moments. In the first regime, the highest moments decrease rapidly. To find the particle momentum distribution function, the generalized Fokker-Planck equation was used. Solutions of this equation are written out for some important cases.

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高矩对回旋加速器共振脉冲空间中粒子分布的作用

本文给出了在强电磁波场中回旋共振条件下带电粒子的动力学分析结果。特别关注具有动态混乱的政权。结果表明，存在两种性质不同的机制。前者的出现是由于非线性回旋共振的重叠。第二种模式与间歇性有关。确定了每种状态的矩和谱。结果表明，随着外界电磁波强度的增加，首先出现第一状态，然后才出现第二状态。第二种状态的特征是间歇性的。在第二种模式下，脉冲的时间动态上出现了步骤。结果表明，第二模态的光谱比第一模态的光谱窄。第二种状态(间歇状态)的一个特征是高阶矩比低阶矩大。在第一种状态下，最高矩迅速下降。采用广义的Fokker-Planck方程求解粒子动量分布函数。对于一些重要情况，给出了该方程的解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Problems of Atomic Science and Technology 物理-核科学技术

CiteScore

0.70

自引率

50.00%

发文量

审稿时长

2-4 weeks

期刊介绍： The journal covers the following topics: Physics of Radiation Effects and Radiation Materials Science; Nuclear Physics Investigations; Plasma Physics; Vacuum, Pure Materials and Superconductors; Plasma Electronics and New Methods of Acceleration.