Nonlinear ion acoustic waves in a quantum degenerate warm plasma with dust grains

Journal Article · Sat Jan 15 04:00:00 EST 2011 · Plasma Physics Reports

DOI:https://doi.org/10.1134/S1063780X10121037· OSTI ID:22047561

Dubinov, A E; Kolotkov, D Yu; Sazonkin, M A ^[1]

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1. Sarov State Physical and Technical Institute, Sarov (Russian Federation)

A study is made of the propagation of ion acoustic waves in a collisionless unmagnetized dusty plasma containing degenerate ion and electron gases at nonzero temperatures. In linear theory, a dispersion relation for isothermal ion acoustic waves is derived and an exact expression for the linear ion acoustic velocity is obtained. The dependence of the linear ion acoustic velocity on the dust density in a plasma is calculated. An analysis of the dispersion relation reveals parameter ranges in which the problem has soliton solutions. In nonlinear theory, an exact solution to the basic equations is found and examined. The analysis is carried out by Bernoulli's pseudopotential method. The ranges of the phase velocities of periodic ion acoustic waves and the velocities of solitons are determined. It is shown that these ranges do not overlap and that the soliton velocity cannot be lower than the linear ion acoustic velocity. The profiles of the physical quantities in a periodic wave and in a soliton are evaluated, as well as the dependence of the critical velocity of solitons on the dust density in a plasma.

• OSTI ID: 22047561
• Journal Information: Plasma Physics Reports, Journal Name: Plasma Physics Reports Journal Issue: 1 Vol. 37; ISSN PPHREM; ISSN 1063-780X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
CRITICAL VELOCITY
DISPERSION RELATIONS
DUSTS
ELECTRONS
EXACT SOLUTIONS
ION ACOUSTIC WAVES
IONS
NONLINEAR PROBLEMS
PERIODICITY
PHASE VELOCITY
PLASMA
PLASMA DENSITY
POTENTIALS
SOLITONS