Problem 11 - D << 1, use a Binomial...

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Problem 11 Derive the plasma wave dispersion relation from kinetic theory. That is, use the collisionless Boltzmann Equation with Gauss' Law (magnetic perturbations are zero). Assume exp[ikz - i ω t]. In doing the integral, ignore the singularity for when ω = kv z . Rather, scale these two terms; then, assuming that k
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Unformatted text preview: D << 1, use a Binomial expansion to expand the denominator upward. Keep enough terms in the expansion so that you obtain at least 2 nonzero terms. For the equilibrium assume a maxwellian for the electron distribution, with constant density equal to the background ion density and constant temperature....
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