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Title: Ion-acoustic cnoidal wave and associated non-linear ion flux in dusty plasma

Abstract

Using reductive perturbation method with appropriate boundary conditions, coupled evolution equations for first and second order potentials are derived for ion-acoustic waves in a collisionless, un-magnetized plasma consisting of hot isothermal electrons, cold ions, and massive mobile charged dust grains. The boundary conditions give rise to renormalization term, which enable us to eliminate secular contribution in higher order terms. Determining the non secular solution of these coupled equations, expressions for wave phase velocity and averaged non-linear ion flux associated with ion-acoustic cnoidal wave are obtained. Variation of the wave phase velocity and averaged non-linear ion flux as a function of modulus (k{sup 2}) dependent wave amplitude are numerically examined for different values of dust concentration, charge on dust grains, and mass ratio of dust grains with plasma ions. It is found that for a given amplitude, the presence of positively (negatively) charged dust grains in plasma decreases (increases) the wave phase velocity. This behavior is more pronounced with increase in dust concentrations or increase in charge on dust grains or decrease in mass ratio of dust grains. The averaged non-linear ion flux associated with wave is positive (negative) for negatively (positively) charged dust grains in the plasma and increases (decreases)more » with modulus (k{sup 2}) dependent wave amplitude. For given amplitude, it increases (decreases) as dust concentration or charge of negatively (positively) charged dust grains increases in the plasma.« less

Authors:
 [1];  [2];  [3]
  1. Poornima Group of Institution, Sitapura, Jaipur 302022 (India)
  2. Regional College for Education, Research and Technology, Jaipur 302022 (India)
  3. Department of Physics, University of Rajasthan, Jaipur 302004 (India)
Publication Date:
OSTI Identifier:
22068855
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 19; Journal Issue: 10; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AMPLITUDES; BOUNDARY CONDITIONS; DUSTS; EQUATIONS; ION ACOUSTIC WAVES; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; PERTURBATION THEORY; PHASE VELOCITY; PLASMA; RENORMALIZATION

Citation Formats

Jain, S L, Tiwari, R S, and Mishra, M K. Ion-acoustic cnoidal wave and associated non-linear ion flux in dusty plasma. United States: N. p., 2012. Web. doi:10.1063/1.4757222.
Jain, S L, Tiwari, R S, & Mishra, M K. Ion-acoustic cnoidal wave and associated non-linear ion flux in dusty plasma. United States. https://doi.org/10.1063/1.4757222
Jain, S L, Tiwari, R S, and Mishra, M K. 2012. "Ion-acoustic cnoidal wave and associated non-linear ion flux in dusty plasma". United States. https://doi.org/10.1063/1.4757222.
@article{osti_22068855,
title = {Ion-acoustic cnoidal wave and associated non-linear ion flux in dusty plasma},
author = {Jain, S L and Tiwari, R S and Mishra, M K},
abstractNote = {Using reductive perturbation method with appropriate boundary conditions, coupled evolution equations for first and second order potentials are derived for ion-acoustic waves in a collisionless, un-magnetized plasma consisting of hot isothermal electrons, cold ions, and massive mobile charged dust grains. The boundary conditions give rise to renormalization term, which enable us to eliminate secular contribution in higher order terms. Determining the non secular solution of these coupled equations, expressions for wave phase velocity and averaged non-linear ion flux associated with ion-acoustic cnoidal wave are obtained. Variation of the wave phase velocity and averaged non-linear ion flux as a function of modulus (k{sup 2}) dependent wave amplitude are numerically examined for different values of dust concentration, charge on dust grains, and mass ratio of dust grains with plasma ions. It is found that for a given amplitude, the presence of positively (negatively) charged dust grains in plasma decreases (increases) the wave phase velocity. This behavior is more pronounced with increase in dust concentrations or increase in charge on dust grains or decrease in mass ratio of dust grains. The averaged non-linear ion flux associated with wave is positive (negative) for negatively (positively) charged dust grains in the plasma and increases (decreases) with modulus (k{sup 2}) dependent wave amplitude. For given amplitude, it increases (decreases) as dust concentration or charge of negatively (positively) charged dust grains increases in the plasma.},
doi = {10.1063/1.4757222},
url = {https://www.osti.gov/biblio/22068855}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 10,
volume = 19,
place = {United States},
year = {Mon Oct 15 00:00:00 EDT 2012},
month = {Mon Oct 15 00:00:00 EDT 2012}
}