在Madelung流体描述中存在非局域效应时强高能“白色”带电粒子束的相干不稳定性
Coherent instabilities of intense high-energy "white" charged-particle beams in the presence of nonlocal effects within the context of the Madelung fluid description
摘要：
本文用流体力学方法描述了高能加速器中带电粒子惯性运动束流纵向动力学中的相干不稳定性。这是在热波模型提供的马德隆流体图像的框架内完成的。恢复了单色光束纵向耦合阻抗复平面内的相干不稳定性图。结果也解释的调制不稳定性分析的确定性方法通常给出的单色大振幅波列传播的非线性薛定谔方程。不稳定性分析，然后扩展到一个非单色惯性光束与给定的热平衡分布，认为是一个统计系综的单色非相干惯性光束（“白”光束）。在这个流体动力学框架下，预测的朗道阻尼现象，而不使用任何动力学方程的相空间演化的系统。
英文摘要：
A hydrodynamical description of coherent instabilities that take place in the longitudinal dynamics of a charged-particle coasting beam in a high-energy accelerating machine is presented. This is done in the framework of the Madelung fluid picture provided by the Thermal Wave Model. The well known coherent instability charts in the complex plane of the longitudinal coupling impedance for monochromatic beams are recovered. The results are also interpreted in terms of the deterministic approach to modulational instability analysis usually given for monochromatic large amplitude wave train propagation governed by the nonlinear Schrödinger equation. The instability analysis is then extended to a non-monochromatic coasting beam with a given thermal equilibrium distribution, thought as a statistical ensemble of monochromatic incoherent coasting beams ("white" beam). In this hydrodynamical framework, the phenomenon of Landau damping is predicted without using any kinetic equation governing the phase space evolution of the system.
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。
