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 cylindrical positive column of glow discharge has been treated on the basis of the quasi-neutral theory. The two-component (electron and positive ion) fluid equations in the cylindrical coordinate are used, where the inertia terms are firstly omitted, this being valid in a range of particularly low electron temperature. We obtain an expression of the diffusion coefficient which includes the linear and square terms of a quantity directly related to the space charge density. A general picture of the transition characteristics can be shown by the solution where the square term of the above quantity is neglected. This square term has, however, to be included in a region of the smaller electron density or the higher electron temperature. Finally, the inertia effect is discussed. At high and low electron density limits, the ambipolar and free diffusion coefficients, respectively, are found to be smaller than the values without inertia effect, because the inertia motions retard the flows of charged particles.

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