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Electrical discharge initiation and a macroscopic model for formative time lags

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4 Author(s)
W. B. Maier ; Los Alamos Nat. Lab., NM, USA ; A. Kadish ; C. J. Buchenauer ; R. T. Robiscoe

Formative times in electrical discharges in overvoltaged gaps are analyzed with a model having no spatial dependence and with simple assumptions about discharge channel temperature T and discharge voltage. The model treats the early temporal evolution of the discharge. Specifically, the dissipative voltage drop, V*, across the discharge is taken to be a step function of T. Thermal quasi-equilibrium is assumed in the discharge medium, and it is shown that d(In td)/d(In θ)=-1, i.e., θtd=constant, where θ is the fractional overvoltage and td is the formative time lag, in agreement with measured values of td for much of the experimentally explored range of θ. Highly-time-resolved (~92 ps) experimental data are presented for the first 10 ns of electrical discharge initiation; these data suggest that the authors' model should provide a reasonable representation of t d when td>10-100 ns

Published in:

IEEE Transactions on Plasma Science  (Volume:21 ,  Issue: 6 )