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Adiabatic dust-acoustic waves with dust-charge fluctuations

Published online by Cambridge University Press:  01 October 1998

S. V. SINGH
Affiliation:
Theoretical Physics Division, Physical Research Laboratory, Navrangpura, Ahmedabad 380009, India
N. N. RAO
Affiliation:
Theoretical Physics Division, Physical Research Laboratory, Navrangpura, Ahmedabad 380009, India

Abstract

We study the effect of charge fluctuations on the propagation of adiabatic linear and nonlinear dust-acoustic waves by considering the electrons and ions to be in Boltzmann equilibria, and the dust grains to satisfy the fluid equations with full adiabatic equation of state. Linear dust-acoustic waves are damped owing to the dust-charge fluctuations, and the damping rate decreases with increasing adiabatic dust pressure. Nonlinear dust-acoustic waves are governed by the set of coupled Boussinesq-like and dust-charge perturbation equations. It is shown that for unidirectional propagation, the Boussinesq-like equation reduces to usual Korteweg–de Vries (KdV) equation. At early times, the localized solutions of the KdV equation are damped owing to the dust-charge perturbations. The soliton amplitude decreases with increasing adiabatic dust plasma pressure and increases with Mach number. Soliton solutions are found only in the supersonic regime.

Type
Research Article
Copyright
1998 Cambridge University Press

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