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The Modified Friction and Diffusion coefficients of fokker-planck Equation and Relaxation Rates for Non-Maxwellian Scattering

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Plasma Science and Technology 2008年第6期10卷 661-670页

作者：项江李定蔡辉山 CAS Key Lab of Basic Plasma Physics School of SciencesUniversity of Science and Technology of ChinaHefei 230026China

In this paper, a new method to derive the fokker-planck coefficients defined by a non-Maxwellian velocity distribution function for the field particles is presented. The three- fold integral and the new Debye cutoff parameter, which were introduced by CHANG and LI, are applied. Therefore, divergence difficulties and the customary replacement of relative velocity g by thermal velocity vth are naturally avoided. The probability function P（v, Av） for non- Maxwellian scattering is derived by the method of choosing velocity transfer Av, which is a true measure of collision intensity, as an independent variable. The method enables the difference between small-angle scattering and small-momentum-transfer collisions of the inverse-square force to be well clarified. With the help of the probability function, the fokker-planck coefficients are obtained by a normal original fokker-planck approach. The friction and diffusion coefficients of the fokker-planck equation are modified for non-Maxwellian scattering and are used to investigate the relaxation processes for the weakly coupled plasma. The profiles of the relaxation rates show that the slowing down and deflection processes are weakened in the conditions of non-Maxwellian scattering.

关键词： fokker-planck coefficients non-Maxwellian velocity distribution field particles velocity distribution small-angle scattering small-momentum-transfer collisions

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Electrical Conductivity in a Non-Maxwellian Plasma with Adjustable High-Energy-Tail Distribution

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Plasma Science and Technology 2009年第1期11卷 7-13页

作者：项江李定仇志勇 CAS Key Lab of Basic Plasma Physics School of SciencesUniversity of Science and Technology of China

In this paper, a solution to the fokker-planck equation is presented, which is extended to the field particles＇ high-energy-tail non-Maxwellian velocity distribution function in transport theory. Based on the correct physical concept of collision intensity, introduced by CHANG and LI, the electrical conductivities for like-particles collisions are obtained in different conditions. The modified fokker-planck coefficients for non-Maxwellian scattering are applied in the study. It is found that the parallel part of the collision operator plays an important role. The non-Maxwellian scattering will stimulate the transport processes in various degrees with mutative deviation parameters.

关键词： fokker-planck coefficients non-Maxwellian velocity distributio field particles velocity distribution electrical conductivity

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