FINITE AMPLITUDE INSTABILITY OF THE POSITIVE COLUMN
The theory of Johnson and Jerde for the instability of the positive column was extended to include oscillations of finite amplitudes. The method followed in the approximate solutions of the non-linear equations is the one suggested by Kadomtsev and Nedospasov. The stability condition is expressed in terms of an amplitude factor giving the rate at which the diffusion increases in the presence of the finite amplitude oscillations. The theory developed was combined with the diffusion theory of Lehnert, and the electric field was calculated as a function of tube radius x magnetic field. The results are in good qualitative agreement with the experimental results found by Hoh and Lehnert up to magnetic fields several times higher than the critical field. (auth)
- Research Organization:
- (Bergen. Universitetet); and Boeing Scientific Research Labs., Seattle
- NSA Number:
- NSA-17-007423
- OSTI ID:
- 4746570
- Report Number(s):
- D1-82-0211
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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