Abstract
The nonlinear propagation of magnetosonic waves in a magnetized strongly coupled dusty plasma consisting of inertialess electrons and ions as well as strongly coupled inertial charged dust particles is presented. A generalized viscoelastic hydrodynamic model for the strongly coupled dust particles and a quantum hydrodynamic model for electrons and ions are considered. In the kinetic regime, we derive a modified Kadomstev-Petviashvili (KP) equation for nonlinear magnetosonic waves of which the amplitude changes slowly with time due to the effect of a small amount of dust viscosity. The approximate analytical solutions of the modified KP equations are obtained with the help of a steady state line-soliton solution of the second type KP equation in a frame with a constant velocity. The dispersion relationship in the kinetic regime shows that the viscosity is no longer a dissipative effect.
Highlights
Magnetosonic waves propagating perpendicular to the applied magnetic field in a dusty plasma differ from those in an electron-ion plasma because of the unusual time and space scale and the correlations of the dust grains
We find that dispersion relation (9) for fast magnetosonic waves is greatly modified by the quantum diffraction effects, nondegenerate pressure, and dust fluid viscosity (∝ τm or η) associated with the strong coupling of the dust particles
We have investigated the linear and nonlinear propagation of magnetosonic waves in a strongly coupled dusty plasma in a kinetic regime, which can illustrate the viscoelastic relaxation effects coming from the strongly coupled dust grains
Summary
Magnetosonic waves propagating perpendicular to the applied magnetic field in a dusty plasma differ from those in an electron-ion plasma because of the unusual time and space scale and the correlations of the dust grains. Self-gravitation due to heavy dust grains could modify the traditional Jeans instability of magnetosonic modes, which is generalized to multiple dust species with the effects of mass distribution. For magnetosonic waves propagating parallel to the magnetic field, the presence of dust grains can greatly cause nonresonant firehose instability. When the drift velocity of the dust beam parallel to the applied magnetic field is larger than that of the phase velocity of magnetosonic waves, the instability of the sheared flow grows, and the amplitude of magnetosonic waves grows. the linear magnetosonic waves and nonlinear magnetosonic waves in a dusty magnetoplasma were well studied by linear dispersion relations or nonlinear equations in a different regime.. Magnetosonic waves propagating perpendicular to the applied magnetic field in a dusty plasma differ from those in an electron-ion plasma because of the unusual time and space scale and the correlations of the dust grains.. Our aim in this work is to investigate magnetosonic waves in a strongly coupled magnetized dusty plasma. The nonlinear waves in a strongly coupled nonmagnetized dusty plasma were already studied in a kinetic regime.. We will study the quantum effects and strongly coupled effects on nonlinear magnetosonic waves in a magnetized dusty plasma. One may expect that dust viscosity together with the quantum effects on electrons and ions has a strong effect on the properties of magnetosonic waves, which is important for astrophysical objects, such as the interior of heavy planets, white dwarfs, and neutron stars.
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