Two-stream instability, wave energy, and the energy principle

被引:15
|
作者
Lashmore-Davies, C. N. [1 ]
机构
[1] EURATOM UKAEK Fus Associat, Culham Sci Ctr, Abingdon OX14 3DB, Oxon, England
基金
欧盟地平线“2020”; 英国工程与自然科学研究理事会;
关键词
11;
D O I
10.1063/1.2768016
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
A generalized Poynting theorem for a system of uniform electron beams is obtained. Two examples of the two-stream instability with beams of equal density are used to discuss the relation between negative wave energy and negative potential energy, which arises in the energy principle of ideal magnetohydrodynamics. In the first example, v(10)>v(20), while in the second example, v(20)=-v(10), where v(10,20) are the equilibrium beam velocities. Both cases can be interpreted in terms of the energy density arising from the generalized Poynting theorem. The first instability is due to the coupling of negative and positive energy waves at a frequency k(v(10)+v(20))/2. The second instability is due to the coupling of the same two perturbations, but at zero frequency. In this case, there is no oscillatory (wave) energy, but the beam electrons still make a negative contribution to the total energy. (C) 2007 American Institute of Physics.
引用
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页数:5
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