Collapse of Nonlinear Dust Sound Pulses in Cylindrical Dusty Plasma Waveguides ()
ABSTRACT
Nonlinear
monopulses of dust sound waves in cylindrical dusty plasma waveguides bounded
by a dielectric are investigated. The dusty plasma includes the positive ions
as a light component and the negative dust as a heavy one. The dusty plasma
with different masses of dust particles is considered. The set of hydrodynamic
equations for the dust jointly with the Poisson one are used. The Boltzmann
distribution is valid for the ions. The boundary conditions are applied at the
smooth interface. When the moderate volume nonlinearity manifests, near the
interface the variations of the dust concentration reach extremely high values,
and the collapse of the dust sound waves occurs. In the cylindrical waveguides
the collapse manifests at the values of the initial wave amplitudes essentially
smaller than in the planar geometry. When the particles of lower masses are
near the interface, the collapse realizes more rapidly.
Share and Cite:
Grimalsky, V. , Koshevaya, S. , Kotsarenko, A. and Zamudio-Lara, A. (2015) Collapse of Nonlinear Dust Sound Pulses in Cylindrical Dusty Plasma Waveguides.
Journal of Electromagnetic Analysis and Applications,
7, 89-95. doi:
10.4236/jemaa.2015.73010.