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Nonlinear interactions between upper-hybrid and Alfvén modes in a magnetized plasma containing charged dust impurities

Published online by Cambridge University Press:  01 February 2007

P. K. SHUKLA  and
L. STENFLO
P. K. SHUKLA
Affiliation:
Institut für Theoretische Physik IV and Centre for Plasma Science and Astrophysics, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, D-44780 Bochum, Germany Centre for Nonlinear Physics, Department of Physics, Umeå University, SE-90187 Umeå, Sweden Department of Physics, University of Strathclyde, Glasgow, G4 ONG, UK Centro de Física dos Plasmas, Departamento de Fisica, Instituto Superior Técnico, Universidade Técnica de Lisboa, 1049-001 Lisbon, Portugal Centre for Fundamental Physics, Rutherford Appleton Laboratory, Chilton, Didcot, Oxfordshire 0X11 OQX, UK ([email protected])
L. STENFLO
Affiliation:
Centre for Nonlinear Physics, Department of Physics, Umeå University, SE-90187 Umeå, Sweden
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Abstract.

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We consider the nonlinear interactions between upper-hybrid (UH) and Alfvén modes in a magnetized electron–ion plasma containing a fraction of stationary charged dust grains. The interaction is governed by a pair of equations for the UH wave envelope including the relativistic electron mass increase and the density and compressional magnetic field fluctuations associated with the Alfvén modes that are, in turn, driven by the ponderomotive force of the UH waves. The coupled mode equations are then Fourier analyzed to obtain a new dispersion relation, which admits new classes of modulational instabilities. The existence of a cusp-shaped UH envelope soliton is also predicted. The result can have relevance to the electron acceleration by sharply localized UH waves in the dusty magnetosphere of Saturn.

Type
Letter to the Editor
Information
Journal of Plasma Physics , Volume 73 , Issue 1 , February 2007 , pp. 3 - 8
Copyright
Copyright © Cambridge University Press 2006

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