| 一维晶化束的非线性动力学(Ⅰ) |
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| 引用本文： | 邵明珠,罗诗裕.一维晶化束的非线性动力学(Ⅰ)[J].物理学报,1990,39(8):7-17. |
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| 作者姓名： | 邵明珠 罗诗裕 |
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| 作者单位： | 重庆交通学院,重庆,630073,西南师范大学,重庆,630715 |
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| 摘 要： | 本文导出了一维库仑链的相干振动方程——Duffing方程,并对一些简单模式进行了讨论。用多重尺度法分析了系统的近似解,用经典方法讨论了它的稳定性。导出了系统的临界磁场公差和某些热力学量,为重离子储存环和冷却器的设计提供了理论依据。
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| 关 键 词： | 一维库仑链 动力学问题 束流晶化 |
| 收稿时间： | 1989-08-28 |
NONLINEAR DYNAMICS OF ONE-DIMENSIONAL CRYSTALLINE BEAM (Ⅰ) |
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| SHAO MING-ZHU,I. HOFMANN and LUO SHI-YU.NONLINEAR DYNAMICS OF ONE-DIMENSIONAL CRYSTALLINE BEAM (Ⅰ)[J].Acta Physica Sinica,1990,39(8):7-17. |
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| Authors: | SHAO MING-ZHU I HOFMANN and LUO SHI-YU |
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| Abstract: | A coherent oscillation equation for one-dimensional Coulomb chain has been derived, which is the well-know Duffing equation, and some single modes have been discussed. An approximate solution has been found, and stability of system has been analysed. Besides, we have derived the error of magnetic field and some thermodynamic parameters, and also some critical parameters for ESR at GS1 of FRG. |
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