Theoretical Analysis of Transient Townsend Discharge of Non-Uniformly Lateral Distribution

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Abstract
Transient Townsend discharge in parallel plane electrodes is restricted by the wall at low pressure, but it has a discharge path narrower than the electrode area at high pressure. The present paper deals with the buildup of the transient Townsend discharge of non-uniformly lateral distribution due to electronic and ionic diffusion. The general solutions for the electronic and positive-ionic charge distributions are given and the characteristic constants, by which wall effects on the buildup of the discharge can be estimated, are decided.