Abstract
A solution is obtained in the form of coupled nonlinear periodic space-charge waves propagating in a magnetoactive plasma. The wave spectrum in the vicinity of the critical point, where the number of harmonics increases substantially, is found to fall with harmonic number as ∝ s −1/3. Periodic space-charge waves are invoked to explain the zebra pattern in the radio emission from solar flares.
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References
A. I. Akhiezer, I. A. Akhiezer, R. V. Polovin, et al., Plasma Electrodynamics (Nauka, Moscow, 1974; Pergamon, Oxford, 1975).
A. I. Akhiezer and G. Ya. Lyubarski, Dokl. Akad. Nauk SSSR 80, 193 (1951).
A. A. Vedenov, Zh. Éksp. Teor. Fiz. 33, 1509 (1957) [Sov. Phys. JETP 6, 1165 (1957)].
K. N. Stepanov, Zh. Tekh. Fiz. 33, 246 (1963) [Sov. Phys. Tech. Phys. 8, 177 (1963)].
G. P. Berman and G. M. Zaslavski, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 15, 1456 (1972) [Radiophys. Quant. Electron. 15, 1113, (1972)].
V. A. Kovalev and V. I. Petviashvili, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 7, 118 (1994) [Russ. Phys. J. 37, 699 (1994)].
V. L. Ginzburg, The Propagation of Electromagnetic Waves in Plasmas (Nauka, Moscow, 1967; Pergamon, Oxford, 1970).
G. P. Chernov, Space Sci. Rev. 127, 195 (2006).
V. V. Zheleznyakov, Radiation in Astrophysical Plasmas (Yanus-K, Moscow, 1997) [in Russian].
A. B. Mikhailovskii, Theory of Plasma Instabilities (Atomizdat, Moscow, 1971; Consultants Bureau, New York, 1974).
I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products (Nauka, Moscow, 1971; Academic, New York, 1980).
V. A. Kovalev, G. P. Chernov, and I. Hanaoka, Pis’ma Astron. Zh. 27, 310 (2001) [Astron. Lett. 27, 267 (2001)].
J. La Belle, P. H. Yoon, M. Karlicky, and R. A. Treuman, Astrophys. J. 593, 1195 (2003).
A. I. Laptukhov and G. P. Chernov, Fiz. Plazmy 32, 939 (2006) [Plasma Phys. Rep. 32, 866 (2006)].
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Original Russian Text © V.A. Kovalev, 2009, published in Fizika Plazmy, 2009, Vol. 35, No. 5, pp. 437–442.