For Langmuir waves in a Maxwellian electron plasma with

PHYSICS · Subjective · Fermi University Physics · Plasma Physics · Kinetic theory, collisions and transport · Kinetic theory, collisions and transport

Plasma Physics, Ch The Vlasov equation and Landau damping

Problem

For Langmuir waves in a Maxwellian electron plasma with kλDe=0.25k\lambda_{De} = 0.25, use the weak-damping formula γ≈−π8 ωpe(kλDe)−3exp⁡(−12k2λDe2−32)\gamma \approx -\sqrt{\frac{\pi}{8}}\,\omega_{pe}(k\lambda_{De})^{-3}\exp\left(-\frac{1}{2k^2\lambda_{De}^2} - \frac{3}{2}\right) to find γ/ωpe\gamma/\omega_{pe}.

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