Parametric instabilities and localization of nonlinearly coupled electromagnetic modes in astrophysical dusty plasmas

P. K. Shukla, B. Eliasson, I. Kourakis, Lennart Stenflo

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The nonlinear coupling between the Alfvén–Rao (AR) and dust–Alfvén (DA) modes in a uniform magnetized dusty plasma is considered. For this purpose, multi-fluid equations (composed of the continuity and momentum equations), the laws of Faraday and Ampère and the quasi-neutrality condition are adopted to derive a set of equations, which show how the fields of the modes are nonlinearly coupled. The equations are then used to investigate decay and modulational instabilities in magnetized dusty plasmas. Stationary nonlinear solutions of the coupled AR and DA equations are presented. The relevance of the investigation to nonlinear phenomena (instabilities and localized structures) in interstellar molecular clouds is also discussed.
Original languageEnglish
Pages (from-to)397- 407
Number of pages11
JournalJournal of Plasma Physics
Volume72
Issue number3
DOIs
Publication statusPublished - 30 Jun 2006

Fingerprint

dusty plasmas
astrophysics
electromagnetism
continuity equation
molecular clouds
momentum
fluids
decay

Keywords

  • dusty plasma
  • electromagnetic modes
  • parametric instability

Cite this

@article{6214a292f9484f6a808a7b01190e1abd,
title = "Parametric instabilities and localization of nonlinearly coupled electromagnetic modes in astrophysical dusty plasmas",
abstract = "The nonlinear coupling between the Alfv{\'e}n–Rao (AR) and dust–Alfv{\'e}n (DA) modes in a uniform magnetized dusty plasma is considered. For this purpose, multi-fluid equations (composed of the continuity and momentum equations), the laws of Faraday and Amp{\`e}re and the quasi-neutrality condition are adopted to derive a set of equations, which show how the fields of the modes are nonlinearly coupled. The equations are then used to investigate decay and modulational instabilities in magnetized dusty plasmas. Stationary nonlinear solutions of the coupled AR and DA equations are presented. The relevance of the investigation to nonlinear phenomena (instabilities and localized structures) in interstellar molecular clouds is also discussed.",
keywords = "dusty plasma, electromagnetic modes, parametric instability",
author = "Shukla, {P. K.} and B. Eliasson and I. Kourakis and Lennart Stenflo",
year = "2006",
month = "6",
day = "30",
doi = "10.1017/S0022377805004198",
language = "English",
volume = "72",
pages = "397-- 407",
journal = "Journal of Plasma Physics",
issn = "0022-3778",
number = "3",

}

Parametric instabilities and localization of nonlinearly coupled electromagnetic modes in astrophysical dusty plasmas. / Shukla, P. K.; Eliasson, B.; Kourakis, I.; Stenflo, Lennart.

In: Journal of Plasma Physics, Vol. 72, No. 3, 30.06.2006, p. 397- 407.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Parametric instabilities and localization of nonlinearly coupled electromagnetic modes in astrophysical dusty plasmas

AU - Shukla, P. K.

AU - Eliasson, B.

AU - Kourakis, I.

AU - Stenflo, Lennart

PY - 2006/6/30

Y1 - 2006/6/30

N2 - The nonlinear coupling between the Alfvén–Rao (AR) and dust–Alfvén (DA) modes in a uniform magnetized dusty plasma is considered. For this purpose, multi-fluid equations (composed of the continuity and momentum equations), the laws of Faraday and Ampère and the quasi-neutrality condition are adopted to derive a set of equations, which show how the fields of the modes are nonlinearly coupled. The equations are then used to investigate decay and modulational instabilities in magnetized dusty plasmas. Stationary nonlinear solutions of the coupled AR and DA equations are presented. The relevance of the investigation to nonlinear phenomena (instabilities and localized structures) in interstellar molecular clouds is also discussed.

AB - The nonlinear coupling between the Alfvén–Rao (AR) and dust–Alfvén (DA) modes in a uniform magnetized dusty plasma is considered. For this purpose, multi-fluid equations (composed of the continuity and momentum equations), the laws of Faraday and Ampère and the quasi-neutrality condition are adopted to derive a set of equations, which show how the fields of the modes are nonlinearly coupled. The equations are then used to investigate decay and modulational instabilities in magnetized dusty plasmas. Stationary nonlinear solutions of the coupled AR and DA equations are presented. The relevance of the investigation to nonlinear phenomena (instabilities and localized structures) in interstellar molecular clouds is also discussed.

KW - dusty plasma

KW - electromagnetic modes

KW - parametric instability

UR - http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=440855&fileId=S0022377805004198

U2 - 10.1017/S0022377805004198

DO - 10.1017/S0022377805004198

M3 - Article

VL - 72

SP - 397

EP - 407

JO - Journal of Plasma Physics

JF - Journal of Plasma Physics

SN - 0022-3778

IS - 3

ER -