舞蹈束作为范坎彭模式
Dancing bunches as Van Kampen modes
摘要：
Van Kampen模是Jeans-Vlasov方程的本征模。它们的光谱由连续部分和可能的离散部分组成。离散范坎彭模式的出现意味着出现了没有任何朗道阻尼的相干模式;因此，即使是微小的耦合束尾流也足以驱动不稳定性。在Tevatron，RHIC和SPS上观察到的纵向不稳定性可以解释为朗道阻尼（LLD）的损失，这在这里显示为发生在相当低的阻抗。对于排斥性唤醒和单谐波RF，LLD被发现是非常敏感的陡峭度的束分布函数在小幅度。在此基础上，提出了一种光束稳定的方法。
英文摘要：
Van Kampen modes are eigen-modes of Jeans-Vlasov equation. Their spectrum consists of continuous and, possibly, discrete parts. Onset of a discrete van Kampen mode means emergence of a coherent mode without any Landau damping; thus, even a tiny couple-bunch wake is sufficient to drive instability. Longitudinal instabilities observed at Tevatron, RHIC and SPS can be explained as loss of Landau damping (LLD), which is shown here to happen at fairly low impedances. For repulsive wakes and single-harmonic RF, LLD is found to be extremely sensitive to steepness of the bunch distribution function at small amplitudes. Based on that, a method of beam stabilization is suggested.
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。
