Verify that plane wave solutions to the diffusion equation yields the following dispersion relation between k and

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Verify that plane wave solutions to the diffusion equation

yields the following dispersion relation between k and ω,

Then show that for free electron diffusion we obtain

where

is the isothermal speed of sound in the electron gas and k_B is Boltzmann's constant. Next show that for ambipolar diffusion we obtain

where

is the isothermal plasma sound speed. Calculate the phase velocity and the damping factor for these waves and verify if they are longitudinal or transverse waves.

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Fundamentals Of Plasma Physics

ISBN: 9780387209753

3rd Edition

Authors: J. A. Bittencourt

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Question Posted: Aug 08, 2023 09:32 AM

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Verify that plane wave solutions to the diffusion equation yields the following dispersion relation between k and

Question:

Ən (r, t) Ət : DV²n(r, t)

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Fundamentals Of Plasma Physics

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