Variational structure for dissipationless linear drift-wave equations

Physics of Plasmas

Volumn 3, Issue 3, 1996, Pages 744-748

  Brizard, Alain J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347215970     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.871808     Document Type: Article

References (17)

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3. N. Mattor and P. H. Diamond, Phys. Plasmas 1, 4002 (1994), see Appendix B.
4. N. Masttor (private communication, 1995).
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6. A. Hasegawa, C. G. Maclennan, and Y. Kodama, Phys. Fluids 22, 2122 (1979); For a recent review, see W. Horton and A. Hasegawa, Chaos 4, 227 (1994).
7. E. A. Frieman and L. Chen, Phys. Fluids 25, 502 (1982), Sec. III B; D. H. E. Dubin, J. A. Krommes, C. Oberman and W. W. Lee, Phys. Fluids 26, 3524 (1983), Sec. V.
8. E. A. Frieman and L. Chen, Phys. Fluids 25, 502 (1982), Sec. III B; D. H. E. Dubin, J. A. Krommes, C. Oberman and W. W. Lee, Phys. Fluids 26, 3524 (1983), Sec. V.
9. A. Brizard, Phys. Plasmas 1, 2460 (1994).
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11. Wirhin the eikonal representatition (Ref. 8), the standard wave-action conservation law is only asymptotically valid (i.e., in the limit where the background medium is weakly nonuniform and weakly time dependent compared to the wave space-time scales) and wave action is considered as an adiabatic invariant; the wave-action conservation law derived in this paper, which is valid for nonekonal wave fields (i.e., wave fields for which the eikonal approximation breaks down), is, therefore, a generalization of the standard wave-action conservation law.
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17. A. Lagrangian density for a one-dimensional model for drift waves was introduced by P. J. Morrison, J. D. Meiss, and J. R. Cary [Physica D 11, 324 (1984)]. from which a wave-action conservation law for one-dimensional lineat drift waves can be derived.