Normalmodebased analysis of electron plasma waves with secondorder Hermitian formalism
Abstract
The classic problem of the dynamic evolution and Landau damping of linear Langmuir electron waves in a collisionless plasma with Maxwellian background is cast as a secondorder, selfadjoint 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 timereversalinvariant solution for any initialvalue problem. Examples are then given for specific initial conditions that illustrate different behaviors of the Landaudamped macroscopic moments of the perturbations.
 Authors:

 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center
 Publication Date:
 Research Org.:
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC24); Oak Ridge Inst. for Science and Education (ORISE), Oak Ridge, TN (United States); Oak Ridge Associated Universities (ORAU)
 OSTI Identifier:
 1423935
 Alternate Identifier(s):
 OSTI ID: 1423914
 Grant/Contract Number:
 FG0291ER54109; SC0014664
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 25; Journal Issue: 3; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Linear acoustics; Maxwell equations; Classical field theory; Linear algebra; Hilbert space; Algebras; Acoustic waves; Computational methods; Classical electromagnetism; Plasma simulation
Citation Formats
Ramos, J. J., and White, R. L. Normalmodebased analysis of electron plasma waves with secondorder Hermitian formalism. United States: N. p., 2018.
Web. doi:10.1063/1.5020794.
Ramos, J. J., & White, R. L. Normalmodebased analysis of electron plasma waves with secondorder Hermitian formalism. United States. doi:10.1063/1.5020794.
Ramos, J. J., and White, R. L. Thu .
"Normalmodebased analysis of electron plasma waves with secondorder Hermitian formalism". United States. doi:10.1063/1.5020794. https://www.osti.gov/servlets/purl/1423935.
@article{osti_1423935,
title = {Normalmodebased analysis of electron plasma waves with secondorder Hermitian formalism},
author = {Ramos, J. J. and White, R. L.},
abstractNote = {The classic problem of the dynamic evolution and Landau damping of linear Langmuir electron waves in a collisionless plasma with Maxwellian background is cast as a secondorder, selfadjoint 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 timereversalinvariant solution for any initialvalue problem. Examples are then given for specific initial conditions that illustrate different behaviors of the Landaudamped macroscopic moments of the perturbations.},
doi = {10.1063/1.5020794},
journal = {Physics of Plasmas},
number = 3,
volume = 25,
place = {United States},
year = {2018},
month = {3}
}
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Works referencing / citing this record:
Normalmodebased theory of collisionless plasma waves
journal, July 2019
 Ramos, J. J.
 Journal of Plasma Physics, Vol. 85, Issue 4
Normalmodebased theory of collisionless plasma waves
journal, July 2019
 Ramos, J. J.
 Journal of Plasma Physics, Vol. 85, Issue 4