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arXiv 0810.5267physics.plasm-phphysics.comp-ph
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自生磁场和磁压梯度驱动电场对电子束偏转不稳定性的饱和

The saturation of the electron beam filamentation instability by the self-generated magnetic field and magnetic pressure gradient-driven electric field

M E Dieckmann, G Rowlands, I Kourakis, M Borghesi

摘要:

用粒子模拟方法模拟了两束反向传播的等密度冷电子束。在一维空间中研究了电子束偏转不稳定性。盒长解析一对电流灯丝。一个小的,一个中等大小的和一个大的灯丝被认为是和比较。磁致伸缩不稳定性饱和时刻的磁场幅值与灯丝尺寸成正比。它表明,由静电场,它的发展过程中的非线性阶段的不稳定性,施加在电子上的力,振荡的平均值,等于磁压梯度力。由于静电和磁场作用在电子上的力具有相似的强度。静电场在接近每个灯丝的稳定平衡时减小约束力,而在远离稳定平衡时增大约束力。的限制潜力是不是正弦曲线,如所假设的磁捕获模型,它允许重叠的电流丝(等离子体激元)与相反的流动方向。因此,这里观察到的灯丝尺寸的磁场的饱和幅度的缩放不同于从磁捕获模型预期的。然而,后者给出了一个很好的估计磁饱和振幅。峰值静电和磁场振幅随灯丝尺寸的增加意味着,电子加热更多,并且它们沿束流方向的平均速度的空间调制随灯丝尺寸的增加而增加。

英文摘要:

Two counter-propagating cool and equally dense electron beams are modelled with particle-in-cell (PIC) simulations. The electron beam filamentation instability is examined in one spatial dimension. The box length resolves one pair of current filaments. A small, a medium-sized and a large filament are considered and compared. The magnetic field amplitude at the saturation time of the filamentation instability is proportional to the filament size. It is demonstrated, that the force on the electrons imposed by the electrostatic field, which develops during the nonlinear stage of the instability, oscillates around a mean value that equals the magnetic pressure gradient force. The forces acting on the electrons due to the electrostatic and the magnetic field have a similar strength. The electrostatic field reduces the confining force close to the stable equilibrium of each filament and increases it farther away. The confining potential is not sinusoidal, as assumed by the magnetic trapping model, and it permits an overlap of current filaments (plasmons) with an opposite flow direction. The scaling of the saturation amplitude of the magnetic field with the filament size observed here thus differs from that expected from the magnetic trapping model. The latter nevertheless gives a good estimate for the magnetic saturation amplitude. The increase of the peak electrostatic and magnetic field amplitudes with the filament size implies, that the electrons heat up more and that the spatial modulation of their mean speed along the beam flow direction increases with the filament size.

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