Kaganovich Igor D, Polomarov Oleg
Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Aug;68(2 Pt 2):026411. doi: 10.1103/PhysRevE.68.026411. Epub 2003 Aug 22.
In low-pressure discharges, where the electron mean free path is larger or comparable with the discharge length, the electron dynamics is essentially nonlocal. Moreover, the electron energy distribution function (EEDF) deviates considerably from a Maxwellian. Therefore, an accurate kinetic description of the low-pressure discharges requires knowledge of the nonlocal conductivity operator and calculation of the non-Maxwellian EEDF. The previous treatments made use of simplifying assumptions: a uniform density profile and a Maxwellian EEDF. In the present study, a self-consistent system of equations for the kinetic description of nonlocal, nonuniform, nearly collisionless plasmas of low-pressure discharges is derived. It consists of the nonlocal conductivity operator and the averaged kinetic equation for calculation of the non-Maxwellian EEDF. The importance of accounting for the nonuniform plasma density profile on both the current density profile and the EEDF is demonstrated.
在低压放电中，电子平均自由程大于或与放电长度相当，电子动力学本质上是非局部的。此外，电子能量分布函数（EEDF）与麦克斯韦分布有很大偏差。因此，对低压放电进行精确的动力学描述需要了解非局部电导率算子并计算非麦克斯韦EEDF。以往的处理方法采用了简化假设：均匀密度分布和麦克斯韦EEDF。在本研究中，推导了一个自洽方程组，用于对低压放电的非局部、非均匀、近无碰撞等离子体进行动力学描述。它由非局部电导率算子和用于计算非麦克斯韦EEDF的平均动力学方程组成。结果表明，考虑非均匀等离子体密度分布对电流密度分布和EEDF都很重要。
