General properties of small-amplitude fluctuations in magnetized and unmagnetized collision poor plasmas. I. The dielectric tensor
General properties of small-amplitude fluctuations in magnetized and unmagnetized collision poor plasmas. I. The dielectric tensor
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磁化和非磁化碰撞不良等离子体中小幅度波动的一般特性。
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
R. Schlickeiser
中科院分区：
文献类型：
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作者：
R. Schlickeiser
对于给定的初始等离子体粒子分布函数，碰撞贫等离子体的介电张量决定了小振幅波动的所有物理性质，因为它作为唯一的等离子体特定量进入麦克斯韦算子。对于均匀磁场中一类重要的旋向性初始粒子分布函数fa（0）（p <$，p <$），我们严格地研究了等离子体涨落的一般性质，而不需要明确说明旋向性分布函数的动量依赖性.导出了相对论修正的介电张量的两种不同形式，它们不同于文献中的非相对论表达式。第一种标准形式是用贝塞尔函数的无穷级数来表示的，而在第二种形式中，这些无穷级数是用勒奇-纽伯格求和规则来计算的，得到了贝塞尔函数与麦克斯韦算子的各个元素的复指数的乘积。第二种形式的电介质…
The dielectric tensor of a collision poor plasma determines all the physical properties of small-amplitude fluctuations for given initial plasma particle distribution functions, as it enters the Maxwell operator as the only plasma-specific quantity. For the important class of gyrotropic initial particle distribution functions fa(0)(p∥,p⊥) in a uniform magnetic field, we rigorously investigate the general properties of the plasma fluctuations without specifying the explicit momentum dependence of the gyrotropic distribution function. Two alternative forms of the relativistically correct dielectric tensor are derived which differ from nonrelativistic expressions in the literature. The first standard form is expressed in terms of infinite series of Bessel functions, whereas in the second form these infinite series are calculated with the Lerche–Newberger sum rules, yielding products of Bessel functions with complex indices for the individual elements of the Maxwell operator. The second form of the dielectric...