Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

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

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.5020794· OSTI ID:1423935
 [1];  [2]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center; Massachusetts Institute of Technology
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center
+ Show Author Affiliations

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) (SC-24); 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, Journal Name: Physics of Plasmas Journal Issue: 3 Vol. 25; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (9)

Plasma oscillations journal July 1959
On the theory of stationary waves in plasmas journal January 1955
Longitudinal sound waves in a collisionless, quasineutral plasma journal November 2017
Existence of non-Landau solutions for Langmuir waves journal May 2008
Landau and non-Landau linear damping: Physics of the dissipation journal September 2009
Plasma oscillations journal January 1978
Landau and Non-Landau Linear Damping: Physics of the Dissipation journal December 2011
Plasma oscillations journal July 1966
Microscopic dynamics of plasmas and chaos: the wave–particle interaction paradigm journal November 2003

Cited By (1)

Normal-mode-based theory of collisionless plasma waves journal July 2019

Similar Records

Normal-mode-based analysis of electron plasma waves with second-order Hermitian formalism
Dataset · Thu Oct 25 00:00:00 EDT 2018 · OSTI ID:1880234
Longitudinal sound waves in a collisionless, quasineutral plasma
Journal Article · Tue Nov 28 23:00:00 EST 2017 · Journal of Plasma Physics · OSTI ID:1538927
Kinetic-magnetohydrodynamic description of longitudinal sound waves in a collisionless, quasineutral plasma
Dataset · Thu Oct 25 00:00:00 EDT 2018 · OSTI ID:1880258

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
97 MATHEMATICS AND COMPUTING
Acoustic waves
Algebras
Classical electromagnetism
Classical field theory
Computational methods
Hilbert space
Linear acoustics
Linear algebra
Maxwell equations
Plasma simulation