Normal-mode-based analysis of electron plasma waves with second-order Hermitian formalism
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center
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 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. Examples are then given for specific initial conditions that illustrate different behaviors of the Landau-damped macroscopic moments of the perturbations.
- Research Organization:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES); Oak Ridge Inst. for Science and Education (ORISE), Oak Ridge, TN (United States); Oak Ridge Associated Universities (ORAU)
- Grant/Contract Number:
- FG02-91ER54109; SC0014664
- OSTI ID:
- 1423935
- Alternate ID(s):
- OSTI ID: 1423914
- Journal Information:
- Physics of Plasmas, Vol. 25, Issue 3; ISSN 1070-664X
- Publisher:
- American Institute of Physics (AIP)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Cited by: 3 works
Citation information provided by
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Web of Science
Normal-mode-based theory of collisionless plasma waves
|
journal | July 2019 |
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