Normal-mode-based analysis of electron plasma waves with second-order Hermitian formalism (doi:10.7910/DVN/02RPRS)

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Normal-mode-based analysis of electron plasma waves with second-order Hermitian formalism

doi:10.7910/DVN/02RPRS

Harvard Dataverse

2018-10-25

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J. J. Ramos; R.L. White, 2018, "Normal-mode-based analysis of electron plasma waves with second-order Hermitian formalism", https://doi.org/10.7910/DVN/02RPRS, Harvard Dataverse, V1

Normal-mode-based analysis of electron plasma waves with second-order Hermitian formalism

doi:10.7910/DVN/02RPRS

J. J. Ramos; R.L. White

Harvard Dataverse

https://doi.org/10.7910/DVN/02RPRS

Physics, collisionless plasmas, kinetic equations, Landau damping, Langmuir waves, plasma waves

The classic problem of the dynamic evolution of Langmuir electron waves in a collisionless plasma and their Landau damping is cast as a second-order, self-adjoint problem with a continuum spectrum of real and positive squared frequencies. The corresponding complete basis of singular normal modes is obtained, along with their orthogonality relation. This yields easily the general expression of the time-reversal-invariant solution for any initial-value problem. An example is given for a specific initial condition that illustrates the Landau damping of the macroscopic moments of the perturbation.

<a href="http://library.psfc.mit.edu/catalog/reports/2010/17ja/17ja040/abstract.php">PSFC REPORT PSFC/JA-17-40</a><br /><br />This work was supported by the U.S. Department of Energy under Grant No. DEFG02-91ER54109.

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