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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publicationNew Developments in Nonlinear Plasma Physics - Proc. 2009 ICTP Summer College on Plasma Physics and Int. Symposium on Cutting Edge Plasma Physics
Subtitle of host publicationIn Honor of Professor Lennart Stenflo's 70th Birthday
Pages315-328
Number of pages14
DOIs
Publication statusPublished - 2009 Dec 14
Externally publishedYes
Event2009 ICTP Summer College on Plasma Physics and International Symposium on Cutting Edge Plasma Physics: New Developments in Nonlinear Plasma Physics - Trieste, Italy
Duration: 2009 Aug 102009 Aug 28

Publication series

NameAIP Conference Proceedings
Volume1188
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other2009 ICTP Summer College on Plasma Physics and International Symposium on Cutting Edge Plasma Physics: New Developments in Nonlinear Plasma Physics
CountryItaly
CityTrieste
Period09/8/1009/8/28

Keywords

  • Continuous spectrum
  • Electrostatic wave
  • Hamiltonian theory

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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