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

Question:

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

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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Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics

ISBN: 9780691159027

1st Edition

Authors: Kip S. Thorne, Roger D. Blandford

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Question Posted: Aug 06, 2023 05:29 AM

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

Question:

F(v) ∞ [(v - v₁)² + u²]¯¹ + [(v +vo)² + u²]¯¹, (22.51)

Step by Step Answer:

To show that the distribution function possesses a minimum we need to find the value of v for which the derivative of Fv with respect to v is zero The ...View the full answer

Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics

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