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Longitudinal Ion Oscillations in a Hot Plasma
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4.Since collision times may be very small on a macroscopic scale and still long compared to it is reasonable to suppose, in the context of an initial value problem, that the plasma has come to equilibrium (and hence has Maxwellian distribution) with a small initial perturbation whose development in time we study. In the generation of a plasma, energy may be given preferentially to one species; for times short compared to the interchange of energy between electrons and ions we may approximately describe the situation by assigning different temperatures to the two species.
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