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Title: A spectral method for action-angle representation of linear waves in plasmas

Abstract

Hamiltonian aspects of linear waves in plasmas are generally reviewed and discussed. Action-angle representation of linear waves is a fundamental problem, but it requires a careful mathematical consideration in the presence of continuum mode (continuous spectrum). We introduce a novel spectral technique that can treat continuous spectrum as well as discrete spectrum in a unified manner. Our method facilitates the derivation of action-angle variables, which is demonstrated for the Van Kampen mode in electrostatic plasma.

Authors:
 [1]
  1. Japan Atomic Energy Agency 801-1, Muko-yama, Naka, Ibaraki, 311-0193 (Japan)
Publication Date:
OSTI Identifier:
21335671
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1188; Journal Issue: 1; Conference: 2009 ICTP summer college on plasma physics; International symposium on cutting edge plasma physics, Trieste (Italy), 10-28 Aug 2009; Other Information: DOI: 10.1063/1.3266809; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BOLTZMANN-VLASOV EQUATION; ELECTROSTATICS; FLUCTUATIONS; HAMILTONIANS; MAGNETOHYDRODYNAMICS; PLASMA; PLASMA WAVES; VORTICES

Citation Formats

Hirota, M. A spectral method for action-angle representation of linear waves in plasmas. United States: N. p., 2009. Web. doi:10.1063/1.3266809.
Hirota, M. A spectral method for action-angle representation of linear waves in plasmas. United States. https://doi.org/10.1063/1.3266809
Hirota, M. 2009. "A spectral method for action-angle representation of linear waves in plasmas". United States. https://doi.org/10.1063/1.3266809.
@article{osti_21335671,
title = {A spectral method for action-angle representation of linear waves in plasmas},
author = {Hirota, M},
abstractNote = {Hamiltonian aspects of linear waves in plasmas are generally reviewed and discussed. Action-angle representation of linear waves is a fundamental problem, but it requires a careful mathematical consideration in the presence of continuum mode (continuous spectrum). We introduce a novel spectral technique that can treat continuous spectrum as well as discrete spectrum in a unified manner. Our method facilitates the derivation of action-angle variables, which is demonstrated for the Van Kampen mode in electrostatic plasma.},
doi = {10.1063/1.3266809},
url = {https://www.osti.gov/biblio/21335671}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1188,
place = {United States},
year = {Tue Nov 10 00:00:00 EST 2009},
month = {Tue Nov 10 00:00:00 EST 2009}
}