Ion acoustic shock wave in collisional equal mass plasma

Journal Article · Thu Oct 15 04:00:00 EDT 2015 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4933356· OSTI ID:22486428

Adak, Ashish ^[1]; Ghosh, Samiran ^[2]; Chakrabarti, Nikhil ^[3]

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1. Department of Instrumentation Science, Jadavpur University, Kolkata 700 032 (India)
2. Department of Applied Mathematics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Kolkata 700 009 (India)
3. Saha Institute of Nuclear Physics, 1/AF, Bidhannagar, Kolkata 700 064 (India)

The effect of ion-ion collision on the dynamics of nonlinear ion acoustic wave in an unmagnetized pair-ion plasma has been investigated. The two-fluid model has been used to describe the dynamics of both positive and negative ions with equal masses. It is well known that in the dynamics of the weakly nonlinear wave, the viscosity mediates wave dissipation in presence of weak nonlinearity and dispersion. This dissipation is responsible for the shock structures in pair-ion plasma. Here, it has been shown that the ion-ion collision in presence of collective phenomena mediated by the plasma current is the source of dissipation that causes the Burgers' term which is responsible for the shock structures in equal mass pair-ion plasma. The dynamics of the weakly nonlinear wave is governed by the Korteweg-de Vries Burgers equation. The analytical and numerical investigations revealed that the ion acoustic wave exhibits both oscillatory and monotonic shock structures depending on the frequency of ion-ion collision parameter. The results have been discussed in the context of the fullerene pair-ion plasma experiments.

• OSTI ID: 22486428
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 10 Vol. 22; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ANIONS
CATIONS
COLLISIONAL PLASMA
ELECTRIC CURRENTS
FLOW MODELS
FULLERENES
ION ACOUSTIC WAVES
ION COLLISIONS
KORTEWEG-DE VRIES EQUATION
NONLINEAR PROBLEMS
SHOCK WAVES
VISCOSITY