The parametric decay of dust ion acoustic waves in non-uniform quantum dusty magnetoplasmas

Journal Article · Wed Jun 15 04:00:00 EDT 2011 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3595235· OSTI ID:21546986

Jamil, M; Ali, Waris; Shah, H A ^[1]; Shahid, M; Murtaza, G ^[2]; Salimullah, M ^[3]

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1. Department of Physics, Government College University, Lahore-54000 (Pakistan)
2. Salam Chair in Physics, Government College University, Lahore-54000 (Pakistan)
3. Department of Physics, Jahangirnagar University, Savar, Dhaka-1342 (Bangladesh)

The parametric decay instability of a dust ion acoustic wave into low-frequency electrostatic dust-lower-hybrid and electromagnetic shear Alfven waves has been investigated in detail in an inhomogeneous cold quantum dusty plasma in the presence of external/ambient uniform magnetic field. The quantum magnetohydrodynamic model of plasmas with quantum effect arising through the Bohm potential and Fermi degenerate pressure has been employed in order to find the linear and nonlinear responses of the plasma particles for three-wave nonlinear coupling in a dusty magnetoplasma. A relatively high frequency electrostatic dust ion acoustic wave has been taken as the pump wave. It couples with two other low-frequency internal possible modes of the dusty magnetoplasma, viz., the dust-lower-hybrid and shear Alfven waves. The nonlinear dispersion relation of the dust-lower-hybrid wave has been solved to obtain the growth rate of the parametric decay instability. The growth rate is at a maximum for a small value of the external magnetic field B{sub 0}. It is noted that the growth rate is proportional to the unperturbed electron number density n{sub oe} and is independent of inhomogeneity beyond L{sub e}=2 cm. An extraordinary growth rate is observed with the quantum effect.

• OSTI ID: 21546986
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 6 Vol. 18; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ALFVEN WAVES
COLD PLASMA
DECAY INSTABILITY
DISPERSION RELATIONS
DUSTS
ELECTROMAGNETIC RADIATION
FLUID MECHANICS
HYDRODYNAMICS
HYDROMAGNETIC WAVES
INHOMOGENEOUS PLASMA
INSTABILITY
INSTABILITY GROWTH RATES
ION ACOUSTIC WAVES
ION WAVES
MAGNETOHYDRODYNAMICS
MECHANICS
NONLINEAR PROBLEMS
PARAMETRIC INSTABILITIES
PLASMA
PLASMA DENSITY
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
PLASMA WAVES
QUANTUM PLASMA
RADIATIONS
SHEAR