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Four-dimensional mapping model for two-frequency electron cyclotron resonance heating. (English) Zbl 0625.76124

A model theory for two-frequency electron cyclotron resonance heating is studied using mapping approximation. Due to the spatial separations of the resonance zones the two frequency mapping is four-dimensional. From the two-dimensional approximation of the four dimensional map, follows for using two frequencies: 1) an increase in the range of energy over which heating can occur, 2) a possibility of optimization of this increase. Other effects, arising from the higher dimensionality of the mapping, i.e. those associated with Arnold diffusion, are studied.
Reviewer: I.Abonyi

MSC:

76X05 Ionized gas flow in electromagnetic fields; plasmic flow
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[1] Arnold, V. I., Mathematical Methods of Classical Mechanics (1981), Springer: Springer New York, chap. 8 · Zbl 0572.70001
[2] Arnold, V. I., Russian Math. Surveys, 18, 85 (1964)
[3] Chirikov, B. V., Phys. Reports, 52, 265 (1979)
[4] Tennyson, J. L.; Lieberman, M. A.; Lichtenberg, A. J., Nonlinear Dynamics and the Beam-Beam Interaction, (Month, M.; Herrera, J. L., AIP Conf. Proc., 57 (1979)), 272 · Zbl 0491.73062
[5] Lichtenberg, A. J.; Lieberman, M. A., Regular and Stochastic Motion (1983), Springer: Springer New York, chap. 6 · Zbl 0506.70016
[6] Jaeger, F.; Lichtenberg, A. J.; Lieberman, M. A., Plasma Phys., 14, 1073 (1972)
[7] Lieberman, M. A.; Lichtenberg, A. J., Plasma Phys., 15, 125 (1973)
[8] Schmidt, G., Physics of High Temperature Plasma (1979), Academic Press: Academic Press New York
[9] Samec, T. K.; Hauss, B. I.; Guest, G., (Uckan, N. A., Proc. 2nd Workshop on Hot Electron Ring Physics (June 1982)), 519, Conf. 811203
[10] Rognlien, T., Nuclear Fusion, 23, 163 (1983)
[11] Howard, J. E.; Lichtenberg, A. J.; Lieberman, M. A., Physica, 5D, 243 (1982)
[12] Howard, J. E.; Lieberman, M. A.; Lichtenberg, A. J.; Cohen, R. H., (Uckan, N. A., Proc. 2nd Workshop on Hot Electron Ring Physics (June 1982)), 561, Conf. 811203
[13] A.J. Lichtenberg, M.A. Lieberman, J.E. Howard and R.H. Cohen, Diffusion in two frequency electron cyclotron resonance heating, Physics of Fluids, to be published.; A.J. Lichtenberg, M.A. Lieberman, J.E. Howard and R.H. Cohen, Diffusion in two frequency electron cyclotron resonance heating, Physics of Fluids, to be published. · Zbl 0602.76095
[14] Lichtenberg, A. J., (Laval, C.; Gresillon, D., Intrinsic Stochasticity in Plasmas (1979), Editions de Physique: Editions de Physique Orsay), 13 · Zbl 0985.00503
[15] J.E. Howard and R.S. MacKay, J. Math. Phys., to be published.; J.E. Howard and R.S. MacKay, J. Math. Phys., to be published.
[16] Howard, J. E.; Hohs, S. M., Phys. Rev., A29, 418 (1984)
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