Abstract
Using the separation method, absolute parametric instability (API) of electrostatic waves in a magnetized pumped warm plasma is investigated. In this case the effect of static strong magnetic field is considered. The problem of strong magnetic field is solved in two-dimensional (2D) nonuniform plane plasma. Equations which describe the spatial part of the electric potential are obtained. Also, the growth rates and conditions of the parametric instability for periodic and aperiodic cases are obtained. It is found that the spatial nonuniformity of the plasma exerts a stabilizing effect on the API. It is shown that the growth rates of periodic and aperiodic API in warm plasma are less when compared to that in cold plasma.
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References
V P Silin, Sov. Phys. JETP 21, 1127 (1965)
V V Demchenko and N M El-Siragy, Ann. der Phys. 29, 47 (1973)
K O Kachalov and N G Popkov, Sov. J. Plasma Phys. 17, 9 (1991)
Yu M Aliev and E Ferlengik, Sov. Phys. JETP 30, 877 (1970)
V V Demchenko and A Ya Omelchenko, Sov. Phys. Radiophys. Quant. Electron. 19, 322 (1976)
V V Demchenko, Kh H El-Shorbagy, Sh M Khalil and N G Zaki, Phys. Scr. 57, 442 (1998)
V V Demchenko, Kh H El-Shorbagy, Sh M Khalil and N G Zaki, Proceedings of the Fifteenth National Radio Science Conference, IEEE Catalog Number 98EX109, ISBN 0-7803-4310-7, Helwan Univ., Cairo, Egypt, 24–26 March, H1 (1998)
P Kaw, W Kruer, C Liu and K Nishikawa, Advances in plasma physics edited by A Simon and W Thompson (J. Wiley, NY, 1976) Vol. 6, part III
Yu M. Aliev and O M Gradov, Sov. Phys.-Tech. Phys. 17, 1453 (1973)
V V Demchenko, Kh H El-Shorbagy, Sh M Khalil and N G Zaki, Proceedings of the Fifteenth National Radio Science Conference, IEEE Catalog Number 98EX109, ISBN 0-7803-4310-7, Helwan Univ., Cairo, Egypt, 24–26 March, H2 (1998)
V P Silin, Parametric effect of high power radiation on a plasma (in Russion) (Nauka, Moscow, 1973)
M N Rosenbluth, Phys. Rev. Lett. 29, 565 (1972)
A D Piliya, JETP Lett. 17, 266 (1973)
D Pesme, G Javal and R Pellat, Phys. Rev. Lett. 31, 203 (1973)
V P Silin and A N Starodub, Sov. Phys. JETP 39, 82 (1974)
R White, P Kaw, D Pesme, M Rosenbluth, G Javal, R Huff and R Varma, Nucl. Fusion 14, 45 (1974)
A I Akhiezer, I A Akhiezer, R V Polovin, A G Sitenko and K N Stepanov, Collective oscillations in a plasma (Pergamon Press, Oxford, 1967)
V I Arkhipenko, V N Budnikov and E Z Gusakov, Plasma Phys. Controll. Fusion 40(2), 215 (1998)
V V Demchenko and A Ya Omelchenko, Sov. Phys. Radiophys. Quant. Electron. 19, 689 (1976)
Yu M Aliev and V P Silin, Sov. Phys. JETP 21, 601 (1965)
V P Silin, Sov. Phys. JETP 21, 1127 (1965)
V V Demchenko, Sh M Khalil, Kh H El-Shorbagy and N G Zaki, Proceedings of the Nineteenth National Radio Science Conference, Alexandria Univ., Alexandria, Egypt, 19–21 March, H2 (2002)
L A Artsimovich, A physicist’s ABC on plasma (Mir Publishers, Moscow, 1978)
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Zaki, N.G. Absolute parametric instability of low-frequency waves in a 2D nonuniform anisotropic warm plasma. Pramana - J Phys 74, 755–763 (2010). https://doi.org/10.1007/s12043-010-0096-6
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DOI: https://doi.org/10.1007/s12043-010-0096-6