Complete theory for Langmuir envelope solitons in dusty plasmas

P. K. Shukla, Bengt Eliasson

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

A complete theory for Langmuir envelope solitons in an unmagnetized dusty plasma is presented, taking into account interactions between finite amplitude Langmuir waves and fully nonlinear dust ion-acoustic (DIA), dust acoustic (DA), and ion hole (IH) perturbations. For this purpose, a nonlinear Schrödinger equation is employed for the Langmuir wave envelope and expressions for plasma slow responses are derived, including a modified (by the Langmuir waveponderomotive force)Boltzmann electron distribution and appropriate ion and dust density distributions for fully nonlinear dispersive DIA, DA, and IH perturbations, which include departure from the quasi-neutrality condition. In the stationary frame, the governing equations can be cast in the form of a Hamiltonian which is used to check the accuracy of the numerical scheme predicting stationary localized solutions of our governing nonlinear equations. Numerical results reveal different classes of Langmuir envelope solitons (cavitons) whose features differ from those in an electron-ion plasma without dust. Ion and dust thermal effects for the DIA and DA waves, respectively, have been included. It is suggested that new beam-plasma experiments in laboratory dust plasmas should be conducted to verify our theoretical predictions of cavitons.
Original languageEnglish
Pages (from-to)584-594
Number of pages11
JournalPhysics of Plasmas
Volume11
Issue number2
Early online date20 Jan 2004
DOIs
Publication statusPublished - Feb 2004

Fingerprint

dusty plasmas
envelopes
solitary waves
dust
acoustics
cavitons
ions
nonlinear equations
perturbation
electron distribution
temperature effects
density distribution
casts

Keywords

  • dusty plasma
  • Langmuir soliton
  • plasma solitons

Cite this

@article{57aa176c232042beb6b125b25e1c7b3c,
title = "Complete theory for Langmuir envelope solitons in dusty plasmas",
abstract = "A complete theory for Langmuir envelope solitons in an unmagnetized dusty plasma is presented, taking into account interactions between finite amplitude Langmuir waves and fully nonlinear dust ion-acoustic (DIA), dust acoustic (DA), and ion hole (IH) perturbations. For this purpose, a nonlinear Schr{\"o}dinger equation is employed for the Langmuir wave envelope and expressions for plasma slow responses are derived, including a modified (by the Langmuir waveponderomotive force)Boltzmann electron distribution and appropriate ion and dust density distributions for fully nonlinear dispersive DIA, DA, and IH perturbations, which include departure from the quasi-neutrality condition. In the stationary frame, the governing equations can be cast in the form of a Hamiltonian which is used to check the accuracy of the numerical scheme predicting stationary localized solutions of our governing nonlinear equations. Numerical results reveal different classes of Langmuir envelope solitons (cavitons) whose features differ from those in an electron-ion plasma without dust. Ion and dust thermal effects for the DIA and DA waves, respectively, have been included. It is suggested that new beam-plasma experiments in laboratory dust plasmas should be conducted to verify our theoretical predictions of cavitons.",
keywords = "dusty plasma, Langmuir soliton, plasma solitons",
author = "Shukla, {P. K.} and Bengt Eliasson",
year = "2004",
month = "2",
doi = "10.1063/1.1641031",
language = "English",
volume = "11",
pages = "584--594",
journal = "Physics of Plasmas",
issn = "1070-664X",
number = "2",

}

Complete theory for Langmuir envelope solitons in dusty plasmas. / Shukla, P. K.; Eliasson, Bengt.

In: Physics of Plasmas, Vol. 11, No. 2, 02.2004, p. 584-594.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Complete theory for Langmuir envelope solitons in dusty plasmas

AU - Shukla, P. K.

AU - Eliasson, Bengt

PY - 2004/2

Y1 - 2004/2

N2 - A complete theory for Langmuir envelope solitons in an unmagnetized dusty plasma is presented, taking into account interactions between finite amplitude Langmuir waves and fully nonlinear dust ion-acoustic (DIA), dust acoustic (DA), and ion hole (IH) perturbations. For this purpose, a nonlinear Schrödinger equation is employed for the Langmuir wave envelope and expressions for plasma slow responses are derived, including a modified (by the Langmuir waveponderomotive force)Boltzmann electron distribution and appropriate ion and dust density distributions for fully nonlinear dispersive DIA, DA, and IH perturbations, which include departure from the quasi-neutrality condition. In the stationary frame, the governing equations can be cast in the form of a Hamiltonian which is used to check the accuracy of the numerical scheme predicting stationary localized solutions of our governing nonlinear equations. Numerical results reveal different classes of Langmuir envelope solitons (cavitons) whose features differ from those in an electron-ion plasma without dust. Ion and dust thermal effects for the DIA and DA waves, respectively, have been included. It is suggested that new beam-plasma experiments in laboratory dust plasmas should be conducted to verify our theoretical predictions of cavitons.

AB - A complete theory for Langmuir envelope solitons in an unmagnetized dusty plasma is presented, taking into account interactions between finite amplitude Langmuir waves and fully nonlinear dust ion-acoustic (DIA), dust acoustic (DA), and ion hole (IH) perturbations. For this purpose, a nonlinear Schrödinger equation is employed for the Langmuir wave envelope and expressions for plasma slow responses are derived, including a modified (by the Langmuir waveponderomotive force)Boltzmann electron distribution and appropriate ion and dust density distributions for fully nonlinear dispersive DIA, DA, and IH perturbations, which include departure from the quasi-neutrality condition. In the stationary frame, the governing equations can be cast in the form of a Hamiltonian which is used to check the accuracy of the numerical scheme predicting stationary localized solutions of our governing nonlinear equations. Numerical results reveal different classes of Langmuir envelope solitons (cavitons) whose features differ from those in an electron-ion plasma without dust. Ion and dust thermal effects for the DIA and DA waves, respectively, have been included. It is suggested that new beam-plasma experiments in laboratory dust plasmas should be conducted to verify our theoretical predictions of cavitons.

KW - dusty plasma

KW - Langmuir soliton

KW - plasma solitons

UR - http://scitation.aip.org/content/aip/journal/pop/11/2/10.1063/1.1641031

U2 - 10.1063/1.1641031

DO - 10.1063/1.1641031

M3 - Article

VL - 11

SP - 584

EP - 594

JO - Physics of Plasmas

JF - Physics of Plasmas

SN - 1070-664X

IS - 2

ER -