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Theoretical Structure of Plasma Equations
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1.M. N. Rosenbluth, “Stability of the pinch,” Los Alamos Scientific Laboratory Rept. LA‐2030 (April, 1956).
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10.Note added in proof: An alternate method of deriving the energy change due to a slow perturbation is to calculate and by summing the contribution from all particles as given by Eq. (39). Substituting and into Eq. (27.2) gives our final result of Eq. (27.3) for By circumventing the equations of motion this gives a much simpler derivation of However, it does not permit as strong a formulation of the necessary and sufficient conditions for stability. Basically the same results as obtained in this paper have been derived independently by Kruskal and Oberman [Phys. Fluids 1, 275 (1958)] from a completely different point of view, i.e., a thermodynamic argument.
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