Consider an unmagnetized electron plasma with a 1-dimensional distribution function: where v 0 and u are constants.

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Consider an unmagnetized electron plasma with a 1-dimensional distribution function:

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where v0 and u are constants. Show that this distribution function possesses a minimum if v0 > 3−1/2u, but the minimum is not deep enough to cause instability unless v0 > u.

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