Model Fokker-Planck Equation for a Plasma and Its Solution
Model Fokker-Planck Equation for a Plasma and Its Solution
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等离子体模型福克-普朗克方程及其解
DOI：
10.1063/1.2746779
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发表时间：
1964
影响因子：
4.6
通讯作者：
J. Dougherty
中科院分区：
文献类型：
--
作者：
J. Dougherty
本文讨论了等离子体中单粒子的Fokker-Planck方程。这个方程与真实的方程有几个共同的性质，并且将近似正确的行为归因于大多数粒子，尽管对于热分布中的高能尾部是不正确的。结果表明，对于均匀等离子体受电场在空间和时间上的谐波的微小扰动，在外加磁场中，该方程可以完全求解。电离层雷达散射的应用程序进行了简要的讨论，它表明，在某些情况下，离子-离子碰撞可以有一个深刻的影响，即使碰撞频率比离子gyrofrequency小得多的散射，这似乎与观察。
A model Fokker-Planck equation for a single species of particles in a plasma is discussed. This equation has several properties in common with the real equation, and ascribes an approximately correct behavior to most of the particles, though incorrect for the high-energy tail in the thermal distribution. It is shown that the equation can be solved completely, for the small perturbations of a uniform plasma by electric fields harmonic in space and time, in an external magnetic field. Applications to ionospheric radar scattering are briefly discussed; it is shown that in certain circumstances, ion-ion collisions can have a profound effect on the scattering even though the collision frequency is much smaller than the ion gyrofrequency, and this appears to agree with observation.