速度空间中等离子体的反常扩散
On anomalous diffusion in a plasma in velocity space
摘要：
基于一种新的碰撞积分，考虑了动量空间中类等离子体系统的反常扩散问题，该积分适用于动量空间中长尾概率转移函数的考虑.描述粒子（离子、颗粒等）扩散（动量空间）的广义Fokker-Planck方程在光粒子（分别为电子或电子和离子）的随机系统中，将粒子的动量应用于等离子体中的粒子分布的演化。在等离子体中，由于小的特征动量传递，所开发的方法也适用于具有任意质量关系的粒子的扩散。指数下降的情况下，动量空间（包括玻尔兹曼样）内核的PT函数，以及更一般的内核，创建异常扩散的速度空间，由于在PT函数的长尾，被认为是。有效的摩擦和扩散系数等离子体类系统被发现。
英文摘要：
The problem of anomalous diffusion in momentum space is considered for plasma-like systems on the basis of a new collision integral, which is appropriate for consideration of the probability transition function (PTF) with long tails in momentum space. The generalized Fokker-Planck equation for description of diffusion (in momentum space) of particles (ions, grains etc.) in a stochastic system of light particles (electrons, or electrons and ions, respectively) is applied to the evolution of the momentum particle distribution in a plasma. In a plasma the developed approach is also applicable to the diffusion of particles with an arbitrary mass relation, due to the small characteristic momentum transfer. The cases of an exponentially decreasing in momentum space (including the Boltzmann-like) kernel in the PT-function, as well as the more general kernels, which create the anomalous diffusion in velocity space due to the long tail in the PT-function, are considered. Effective friction and diffusion coefficients for plasma-like systems are found.
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