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Stability of a z-pinch with rising current

Conference · · AIP Conference Proceedings (American Institute of Physics); (USA)
OSTI ID:6357768
 [1];  [2]
  1. Berkeley Research Associates, Springfield, VA (USA)
  2. Plasma Physics Division, Naval Research Laboratory, Washington, DC (USA)

A two-dimensional resistive MHD code is used to examine the stability of a z-pinch to {ital m}=0 perturbations under conditions of rising current. The current waveform is chosen to rise according to the one-third power of time in order to keep the unperturbed radius of the pinch constant. One-dimensional calculations show that regardless of the initial shape of the current density profile, the plasma column recovers the self-similar profile dictated by this current rise. In two-dimensions, initial perturbations corresponding to {ital m}=0 instability modes oscillate without growing or grow weakly at low values of the current in apparent contradiction to ideal MHD theory. At high current, the pinch is unstable with a growth rate predicted by ideal MHD. This is put forward as a possible explanation of experimental results which shown anomalously stable Z-pinches. Enhanced stability is also seen for low values of the Lundquist number when the current is set to the Pease-Braginskii value where the ohmic heating and radiative losses match.

OSTI ID:
6357768
Report Number(s):
CONF-8904107--
Journal Information:
AIP Conference Proceedings (American Institute of Physics); (USA), Journal Name: AIP Conference Proceedings (American Institute of Physics); (USA) Vol. 195:1; ISSN 0094-243X; ISSN APCPC
Country of Publication:
United States
Language:
English