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arXiv 1005.0795physics.plasm-phcond-mat.otherphysics.class-ph
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中性磁化等离子体中的微观不稳定性

A microscopic instability in neutral magnetized plasmas

M. Marino, M. Zuin, A. Carati, E. Martines, L. Galgani

摘要:

我们表明,在中性磁化等离子体中存在微观振荡模式,与平均粒子间距离的数量级的波长,变得不稳定时,电子密度超过一个限制成正比的磁场的平方。我们考虑的模型只是中性等离子体经典模型的线性化,即电子系统受到库仑相互作用,并具有均匀的正中性背景。这个模型在这里被处理为一个实际的多体问题,而不引入任何平均的单个粒子。的密度极限的表达式相吻合,除了可能从一阶的数值因子,与著名的布里渊密度极限的非中性等离子体,但有一个宏观的起源。这里发现的密度极限具有相同的数量级,在几个传统的托卡马克装置中观察到的操作密度极限。最后,我们表明,当充分的电磁相互作用被考虑在内,色散关系得到的短波长减少到这里得到的纯库仑的情况下,和长波长重现熟悉的MHD。

英文摘要:

We show that in a neutral magnetized plasma there exist microscopic oscillatory modes, with wavelengths of the order of magnitude of the mean interparticle distance, which become unstable when the electron density exceeds a limit proportional to the square of the magnetic field. The model we consider is just a linearization of the classical one for neutral plasmas, namely a system of electrons subjected to Coulomb interactions among themselves and with a uniform positive neutralizing background. This model is here dealt with as an actual many-body problem, without introducing any averaging over the individual particles. The expression of the density limit coincides, apart possibly from a numerical factor of order one, with the well-known Brillouin density limit for a nonneutral plasma, which has however a macroscopic origin. The density limit here found has the same order of magnitude as the operational density limit observed in several conventional tokamak devices. We finally show that, when the full electromagnetic interactions are taken into account, dispersion relations are obtained which for short wavelengths reduce to those obtained here in the purely Coulomb case, and for long wavelengths reproduce the familiar ones of MHD.

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。

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