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An electron drift driven by an applied constant electric field causes an ion acoustic instability. A steady state is proposed in which ballistic clumps of plasma behave like dressed test particles and collisionally scatter each other. The applied field is balanced by the dynamical friction force on the clumps. The resulting conductivity is σ≈10ωₚₑkλD.
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Thomas H. Dupree (1970) studied this question.
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