Consider the two-stream instability using the macroscopic cold plasma equations for two beams of electrons having number

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Consider the two-stream instability using the macroscopic cold plasma equations for two beams of electrons having number densities given by

and average velocities given by

Consider that the electric field is given by

Determine the dispersion relation for this two-stream problem and verify if the oscillations with real k are stable or unstable.

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Fundamentals Of Plasma Physics

ISBN: 9780387209753

3rd Edition

Authors: J. A. Bittencourt

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Question Posted: Aug 11, 2023 06:08 AM

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Consider the two-stream instability using the macroscopic cold plasma equations for two beams of electrons having number

Question:

n1,2=no+n1,2 exp (ikx - iwt)

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To analyze the twostream instability using the given equations we need to find the dispersion relati...View the full answer

Fundamentals Of Plasma Physics

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