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Order and chaos in ETG-driven drift–dissipative waves with sheared flows

Published online by Cambridge University Press:  01 November 1999

ARSHAD M. MIRZA
Affiliation:
Department of Physics, Quaid-i-Azam University, Islamabad 45320, Pakistan
TARIQ RAFIQ
Affiliation:
Department of Physics, Quaid-i-Azam University, Islamabad 45320, Pakistan
ANISA QAMAR
Affiliation:
Department of Physics, Quaid-i-Azam University, Islamabad 45320, Pakistan
G. MURTAZA
Affiliation:
Department of Physics, Quaid-i-Azam University, Islamabad 45320, Pakistan
P. K. SHUKLA
Affiliation:
Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, D-44780 Bochum, Germany
R. T. FARIA
Affiliation:
Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, D-44780 Bochum, Germany Permanent address: Instituto de Física ‘Gleb Wataghin’, Universidade Estadual de Campinas, 13083-970, Campinas, SP, Brazil.

Abstract

We derive a system of nonlinear equations that govern the dynamics of low-frequency short-wavelength electromagnetic waves in the presence of equilibrium density, temperature, magnetic field and velocity gradients. In the linear limit, a local dispersion relation is obtained and analyzed. New ηe-driven electromagnetic drift modes and instabilities are shown to exist. In the nonlinear case, the temporal behaviour of a nonlinear dissipative system can be written in the form of Lorenz- and Stenflo-type equations that admit chaotic trajectories. On the other hand, the stationary solutions of the nonlinear system can be represented in the form of dipolar and vortex-chain solutions.

Type
Research Article
Copyright
1999 Cambridge University Press

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