用非相对论动力学方程分析弛豫过程
Analysis of the Relaxation Process using Non-Relativistic Kinetic Equation
摘要：
本文研究了Bhatnagar、Gross和Krook提出的弛豫模型（也称BGK模型）的线性化动力学方程，并求解了色散关系。利用色散关系的解，我们分析了宏观模和动力学模的弛豫。与Chapman-Enskog展开式不同，BGK模型不基于平均自由程展开，因此该解可以精确描述任意波长的初始扰动松弛。这种非相对论分析为我们下一步的弛豫相对论分析工作提供了建议。
英文摘要：
We study the linearized kinetic equation of relaxation model which was proposed by Bhatnagar, Gross and Krook (also called BGK model) and solve the dispersion relation. Using the solution of the dispersion relation, we analyze the relaxation of the macroscopic mode and kinetic mode. Since BGK model is not based on the expansion in the mean free path in contrast to the Chapman-Enskog expansion, the solution can describe accurate relaxation of initial disturbance with any wavelength. This non-relativistic analysis gives suggestions for our next work of relativistic analysis of relaxation.
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