Abstract
We discuss nonlinear mode-mode coupling phenomena in cosmic plasmas. Four problems are considered: (1) nonlinear three-wave processes in the planetary magnetosphere involving the interaction of auroral Langmuir, Alfvén and whistler waves, (2) nonlinear three-wave processes in the solar wind involving the modulation of Langmuir and electromagnetic waves by ion-acoustic waves, (3) order and chaos in nonlinear four-wave processes in cosmic plasmas, and (4) regular and chaotic dynamics of the relativistic Langmuir turbulence and its application to pulsar and AGN emissions. The observational evidence in support of nonlinear wave-wave interactions in space and astrophysical plasmas is presented.
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Anderson, R.R., Parks, G.K., Eastman, T.E., Gurnett, D.A. and Frank, L.A.: 1981,J. Geophys. Res. 86, 4493.
Baker, D.N., Borovsky, J.E., Benford, G. and Eilek, J.A.: 1988,ApJ,326, 110.
Bardwell, S. and M. V. Goldman: 1976,ApJ 209, 912.
Barrow, C.H., Zarka, P. and Aubier, M.G.: 1994,A & A 286, 597.
Benson, R.F., Desch, M.D., Hunsucker, R.D., and Romick, G.J.: 1988,J. Geophys. Res. 93, 277.
Berezhiani, V.I., Tsintsadze, N.L. and Tskhakaya, D.D.: 1980,J. Plasma Phys. 24, 15.
Bingham, B.: 1990,Physica Scripta T 30, 24.
Boehm, M.H., Carlson, C.W., McFadden, J. and Mozer F.S.: 1984,Geophys. Res. Lett. 11, 511.
Boehm, M.H., Carlson, C.W., McFadden, J.P., Clemmons, J.H. and Mozer, F.S.: 1990,J. Geophys. Res. 95, 12157.
Cairns, I.H. and Robinson, P.A.: 1992b,Geophys. Res. Lett. 19, 2187.
Cairns, I.H. and Robinson, P.A.: 1992a,Geophys. Res. Lett. 19, 2069.
Canu, P., Conilleau-Wehrlin, N., de Villedary, C., Kellogg, P.J., Harvey, C.C. and MacDowall, R.J.: 1993,Planet. Space Sci. 41, 811.
Chian, A.C.-L.: 1982,A & A 112, 391.
Chian, A.C.-L.: 1992,Planet. Sp. Sci. 39, 1217.
Chian, A.C.-L.: 1992, inProc. IAU Colloquium 128 on The Magnetospheric Structure and Emission Mechanisms of Radio Pulsors, eds. T.H. Hankins, J.M. Rankin and J.A. Gil, Pedagogical University Press: Zielona Góra, 356.
Chian, A.C.-L. and Kennel, C.F.: 1983,Ap. Space Sci. 97, 9.
Chian, A.C.-L. and Alves, M.V.: 1988,ApJ Lett. 330, L77.
Chian, A.C.-L., Lopes, S.R. and Alves, M.V.: 1994a,A & A 288, 981.
Chian, A.C.-L., Lopes, S.R. and Alves, M.V.: 1994b,A & A 290, L13.
Chian, A.C.-L. and Oliveira, L.P.L.: 1994,A & A 286, L1.
Chian, A.C.-L. and Rizzato, F.B.: 1994,J. Plasma Phys. 51, 61.
Chian, A.C.-L. and Abalde, J.R.: 1995,A & A 298, L9.
Colgate, S.A., Lee, E.P. and Rosenbluth, M.N.: 1970,ApJ 162, 649.
Coppi, P., Blandford, R.D. and Rees, M.J.: 1993,MNRAS 262, 603.
Cordes, J.M., Weisberg, J.M. and Hankins, T.H.: 1990,Astr. J. 100, 1882.
de Oliveira, G.I., Rizzato, F.B. and Chian, A.C.-L.: 1995,Phys. Rev. E 52, 2025.
Doolen, G.D., Dubois, D.F., Rose, H.A. and Hafizi, B.: 1983,Phys. Rev. Lett. 51, 335.
Ergun, R.E., Carlson, C.W., McFadden, J.P., Clemmons, J.H. and Boehm, M.H.: 1991,Geophys. Res. Lett. 18, 1177.
Fruchter, A.S., Stinebring, D.R. and Taylor, J.H.: 1988,Nature 333, 237.
Gangadhara, R.T., Krishan, V. and Shukla, P.K.: 1993,MNRAS 262, 151.
Gedalin, M. and Eichler, D.: 1993,ApJ 406, 629.
Glanz, J., Goldman, M.V., Newman, D.L. and McKinstrie, C.J.: 1993,Phys. Fluids 5, 1101.
Goldman, M.V.: 1984,Rev. Modern Phys. 56, 709.
Grabbe, C.: 1982,Geophys. Res. Lett. 9, 155.
Grabbe, C., Papadopoulos, K. and Palmadesso P.: 1980,J. Geophys. Res. 85, 3337.
Gurnett, D.A. and Frank, L.A.: 1975,Solar Phys. 45, 477.
Gurnett, D.A., Kurth, W.S. and Scarf, F.L.: 1979,Nature 280, 767.
Gurnett, D.A., Maggs, J.E., Gallagher, D.I., Kurth, W.S., and Scarf, F.L.: 1981,J. Geophys. Res. 86, 8833.
Gurnett, D.A., Shawhan, S.D., Shaw, R.R.: 1983,J. Geophys. Res. 88, 329.
Gurnett, D.A., Hospodarsky, G.B., Kurth, W.S., Williams, D.J., and Bolton, S.J.: 1993,J. Geophys. Res. 98, 5631.
Hospodarsky, G.B., Gurnett, D.A., Kurth, W.S. and Bolton, S.J.: 1991,EOS 72, No. 44, 390.
Hospodarsky, G.B., Gurnett, D.A., Kurth, W.S., Bolton, S.J., Kivelson, M. and Strangeway, R.: 1992,EOS 73, No. 14, 241.
Hunstead, R.W.: 1972,Ap. Lett. 12, 193.
Johnston, S., Manchester, R.N., Lyne, A.G., Bailes, M., Kaspin, V.M., Qiao, G.J. and D'Amico, N.: 1992,ApJ 387, L37.
Kellogg, J.P., Goetz, K., Howard, R.L. and Monson, S.J.: 1992,Geophys. Res. Lett. 19, 1303.
Koons, H.C., Roeder, J.L., Bauer, O.H., Haerendel, G., Treumann, R., Anderson, R.R., Gurnett, D.A. and Holzworth, R.H.: 1987,J. Geophys. Res. 92, 5865.
Krishan, V. and Wiita, P.J.: 1990,MNRAS 246, 597.
Krishan, V. and Wiita, P.J.: 1994,ApJ 423, 172.
Kunieda, H., Turner, T.J., Awaki, H., Koyama, K., Mushotzky, R. and Tsusaka, Y.: 1990,Nature 345, 786.
Lashmore-Davies, C.N.: 1981,Plasma Physics and Nuclear Fusion Research, ed. R.D. Gill, Academic Press: London, 319.
Lesch, H. and Pohl, M.: 1992,A & A 254, 29.
Lichtenberg, A.J. and Lieberman, M.A.: 1983,Regular and Stochastic Motion, Springer-Verlag: New York, 280.
Lin, R.P., Levedahl, W.K., Lotko, W., Gurnett, D.A., and Scarf, F.L.: 1986,ApJ 308, 954.
Luo, Q. and Melrose, D.B.: 1994,Solar Phys. 154, 187.
Luo, Q. and Melrose, D.B.: 1995,ApJ 452, 346.
Manchester, R.N., Lyne, R.G., Robinson, C., D'Amico, N., Bailes, M., and Lim, J.: 1991,Nature 352, 219.
Marion, J.B.: 1970,Classical Dynamics of Particles and Systems, Academic Press: New York.
Melrose, D.B.: 1994,J. Plasma Phys. 51, 13.
Meunier, C., Bussac, M.N. and Laval, G.: 1982,Physica 4D, 236.
Moon, H.T. and Goldman, M.V.: 1984,Phys. Rev. Lett. 53, 1821.
Oya, H., Morioka, A. and Obara T.: 1985,J. Geomagn. Geoelect. 37, 237.
Phillips, J.A. and Wolszczan, A.: 1991,ApJ Lett. 382, L27.
Pikovskiî, A.S., Rabinovich, M.I. and Trakhtengerts, V. Yu.,Sov. Phys. JEPT 47, 715.
Quirrenbach, A., Witzel, A., Krichbaum, T., Hummel, G.A., Alberdi, A. and Schalinski, C.: 1989,Nature 337, 442.
Rankin, J.M. and Roberts, J.A.: 1971,Proc. IAU Symp. 46 on The Crab Nebula, eds. R.D. Davies and F.G. Smith, 114.
Rizzato, F.B. and Chian, A.C.-L.: 1992,J. Plasma Phys. 48, 71.
Robinson, P.A., Cairns, J.H. and Willes, A.J.: 1994,ApJ 422, 870.
Romani, R.W., Rankin, J.M. and Backer, D.C.: 1992, inProc. IAU Colloquium 128 on The Magnetospheric Structure and Emission Mechanisms of Radio Pulsars, eds. T.K. Hankins, J.M. Rankin and J.A. Gil, Pedagogical University Press: Zielona Góra, 326.
Romeiras, F.J.: 1983,Phys. Lett. A 93, 227.
Shen, M.-M. and Nicholson, D.R.: 1987,Phys. Fluids 30, 1096.
Sjölund, A. and Stenflo, L.: 1967,Zeitschrift Physik 204, 211.
Sol, H., Pelletier, G. and Asséo, E.: 1989,MNRAS 237, 411.
Taniuti, T. and Nishihara, K.: 1983,Nonlinear Waves, Pitman, 148.
Thiessen, J.P. and Kellogg, P.J.: 1993,Planet. Space Sci. 41, 823.
Thompson, C., Blandford, R.D., Evans, C.R. and Phinney, E.S.: 1994,ApJ 422, 304.
Vyshikind, S. Ya. and Rabinovich, M.I.: 1976,Sov. Phys. JEPT 44, 292.
Walters, D. and Lewak, G.: 1977,J. Plasma Phys. 18, 525.
Wang, D.-Y., and Li, D.-Y.: 1991,Solar Phys. 135, 393.
Weatherall, J.C., Goldman, M.V. and Nicholson, D.R.: 1981,ApJ 246, 306.
Weatherall, J.C. and Benford, G.: 1991,ApJ 378, 543.
Weiland, J. and Wilhelmsson, H.: 1977,Coherent Non-Linear Interaction of Waves in Plasmas, Pergamon Press.
Wersinger, J.M., Finn, J.M. and Ott, E.: 1980a,Phys. Rev. Lett. 44, 453.
Wersinger, J.M., Finn, J.M. and Ott, E.: 1980b,Phys. Fluids 23, 1142.
Wilhelmsson, H.: 1969,J. Plasma Phys. 3, 215.
Wu, X. and Chian, A.C.-L.: 1995,ApJ 443, 261.
Zakharov, V.E.: 1972,Soviet Phys. JETP 35, 908.
Zhuravlev, V.I. and Popov, M.V.: 1990,Sov. Astr. 34, 377.
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Chian, A.C.L. Nonlinear wave-wave interactions in astrophysical and space plasmas. Astrophys Space Sci 242, 249–295 (1996). https://doi.org/10.1007/BF00645115
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DOI: https://doi.org/10.1007/BF00645115