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Parametric instabilities and localization of nonlinearly coupled electromagnetic modes in astrophysical dusty plasmas

Published online by Cambridge University Press:  07 December 2005

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 Department of Physics, Umeå University, SE-90187 Umeå, Sweden Max-Planck-Institut für Extraterrestrische Physik, D-85740 Garching, Germany GoLP/Instituto Superior Técnico, Universidade Técnica de Lisboa, 1049-001 Lisboa, Portugal Centre for Fundamental Physics at Rutherford Appleton Laboratory, Chilton, Didcot, Oxon, OX11 OQX, UK (ps@tp4.rub.de, ioannis@tp4.rub.de)
B. ELIASSON
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
I. KOURAKIS
Affiliation:
Max-Planck-Institut für Extraterrestrische Physik, D-85740 Garching, Germany
L. STENFLO
Affiliation:
Department of Physics, Umeå University, SE-90187 Umeå, Sweden

Abstract

The nonlinear coupling between the Alfvén–Rao (AR) and dust–Alfvén (DA) modes in a uniform magnetized dusty plasma is considered. For this purpose, multi-fluid equations (composed of the continuity and momentum equations), the laws of Faraday and Ampère and the quasi-neutrality condition are adopted to derive a set of equations, which show how the fields of the modes are nonlinearly coupled. The equations are then used to investigate decay and modulational instabilities in magnetized dusty plasmas. Stationary nonlinear solutions of the coupled AR and DA equations are presented. The relevance of the investigation to nonlinear phenomena (instabilities and localized structures) in interstellar molecular clouds is also discussed.

Type
Papers
Copyright
2005 Cambridge University Press

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