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On the dispersion relation for the Buneman instability in spherically confined plasmas

机译：在球形局限性等离子体中囊内稳定性的分散关系

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摘要

In this paper an analytically derived dispersion relation for the Buneman instability in spherically confined plasmas is presented. The calculations are based on plasmas with spherical symmetry in which the dependence of the dispersion relation is, thus, only radial. This article is supposed to give a solution for said dispersion relation as this has not been done for such a peculiar geometry. On the other hand, new research on electrostatic confinement fusion schemes shows that there are physical effects that are strongly connected with such instabilities in spherical plasma devices and have, hence, to be taken into account in order to get a proper scientific understanding of the underlying mechanisms.
机译：本文介绍了球形局限于狭窄的等离子体中的Buneman不稳定性的分析衍生的分散关系。 计算基于具有球形对称的等离子体，其中分散关系的依赖性仅是径向。 本文应该提供对所述分散关系的解决方案，因为这尚未为这种特殊的几何形状进行。 另一方面，关于静电限制融合方案的新研究表明，存在与球形等离子体器件中的这种稳定性强烈连接的物理效果，并且因此被考虑为获得对潜在的正确科学理解 机制。

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