非均匀电场中离子漂移和扩散的可解例子
Solvable Examples of Drift and Diffusion of Ions in Non-uniform Electric Fields
摘要：
离子云在流体中的漂移和扩散被不均匀的电场扭曲。如果电场以直线承载分布的中心并且场配置适当对称，则可以解析地计算失真。我们详细研究了圆柱和球形对称场的具体例子，假设离子分布是一般的高斯形式。在横向和纵向方向上的不同的扩散系数的影响。
英文摘要：
The drift and diffusion of a cloud of ions in a fluid are distorted by an inhomogeneous electric field. If the electric field carries the center of the distribution in a straight line and the field configuration is suitably symmetric, the distortion can be calculated analytically. We examine the specific examples of fields with cylindrical and spherical symmetry in detail assuming the ion distributions to be of a generally Gaussian form. The effects of differing diffusion coefficients in the transverse and longitudinal directions are included.
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