Anomalous resistivity and the Pease-Braginskii current in aZpinch

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Abstract
The concept of the Pease-Braginskii current in a Z pinch is reexamined in the light of the anomalous resistivity that arises in a plasma when the electron drift velocity is greater than the ion sound speed. Radial profiles of density and current are derived on the assumption that anomalous resistivity will prevent the drift velocity from exceeding the sound speed. The value of the Pease-Braginskii current then depends upon the line density, and may be significantly greater than its classical value.