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Title: Ion acoustic shock wave in collisional equal mass plasma

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.
Authors:
 [1] ;  [2] ;  [3]
  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)
Publication Date:
OSTI Identifier:
22486428
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 10; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
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