Swarm Analysis by Using Transport Equations.IX.Transition from Free to Ambipolar Diffusion in the Cylindrical Positive Column of a Glow Discharge

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The transition from free to ambipolar diffusion of the electrons in a cylindricalpositive column of glow discharge has been treated on the basis of the quasi-neutraltheory. The two-component (electron and positive ion) fluid equations in the cylin-drical coordinate are used, where the inertia terms are firstly omitted, this being validin a range of particularly low electron temperature. We obtain an expression of thediffusion coefficient which includes the linear and sqtmare terms of a quantity directlyrelated to the space charge density. A general picture of the transition characteristicscan be shown by the solution where the square term of the above quantity isneglected. This square term has, however, to be included in a region of the smallerelectron density or the higher electron temperature. Finally, the inertia effect isdiscussed. At high and low electron density limits, the ambipolar and free diffusioncoefficients, respectively, are found to be smaller than the values without inertiaeffect, because the inertia motions retard the flows of charged particles.
社団法人日本物理学会の論文
1985-11-15