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

Ramos, J. J.; White, R. L.

doi:10.7910/DVN/02RPRS

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

Abstract

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.

Authors:: Ramos, J. J.; White, R. L.

Publication Date:: 2018-10-25

DOE Contract Number:: FG02-91ER54109

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center

Sponsoring Org.:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

OSTI Identifier:: 1880234

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

Citation Formats


                    Ramos, J. J., and White, R. L. Normal-mode-based analysis of electron plasma waves with second-order Hermitian formalism.  United States: N. p., 2018. 
        Web.  doi:10.7910/DVN/02RPRS.

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                    Ramos, J. J., & White, R. L. Normal-mode-based analysis of electron plasma waves with second-order Hermitian formalism.  United States.  doi:https://doi.org/10.7910/DVN/02RPRS

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                    Ramos, J. J., and White, R. L. 2018.  
"Normal-mode-based analysis of electron plasma waves with second-order Hermitian formalism".  United States.  doi:https://doi.org/10.7910/DVN/02RPRS.  https://www.osti.gov/servlets/purl/1880234. Pub date:Thu Oct 25 00:00:00 EDT 2018

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@article{osti_1880234,

  title        = {Normal-mode-based analysis of electron plasma waves with second-order Hermitian formalism},

  author       = {Ramos, J. J. and White, R. L.},

  abstractNote = {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.},

  doi          = {10.7910/DVN/02RPRS},

  journal      = {},

  number       = ,

  volume       = ,

  place        = {United States},

  year         = {2018},

  month        = {10}

}

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