Linear Pinch Equilibrium of Non-Neutral Plasma Revisited: Phenomenological Consequences of a Numerical Accuracy Problem
Keywords:Locally Non-neutral Plasma, Linear Pinch, Skin Effect, Numerical Accuracy
AbstractWeibel in 1959 under considerations of a collisionless non-neutral cylindrical plasma column studied a linear pinch conﬁnement equilibrium. As reported here, due to non-linearity of the ordinary diﬀerential equations obtained for the electrostatic and magnetostatic ﬁelds is possible to demonstrate that the conﬁning features previously obtained are extremely dependent on the initial conditions, and the arrangement of two parameters (β - the ratio between ion and electron mass; M/KT - ratio between relativistic rest energy associated with the pair electron-ion and thermal energy kT ) related to the plasma column characteristics. We investigated in this paper the plasma column behavior (conﬁning or non-conﬁning) under modiﬁcations of that set of parameters. We detected a set of parameters values that imposes a conﬁning conﬁguration with an electronic skin eﬀect on the plasma column, not yet reported or discussed in the literature.
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