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Title: Nonlinear propagation of modulated ion-acoustic plasma waves in the presence of an electron beam

Abstract

Theoretical and numerical studies are presented of the amplitude modulation of ion-acoustic waves (IAWs) in a plasma consisting of warm ions, Maxwellian electrons, and a cold electron beam. Perturbations parallel to the carrier IAW propagation direction have been investigated. The existence of four distinct linear ion acoustic modes is shown, each of which possesses a different behavior from the modulational stability point of view. The stability analysis, based on a nonlinear Schroedinger equation (NLSE) reveals that the IAW may become unstable. The stability criteria depend on the IAW carrier wave number, and also on the ion temperature, the beam velocity and the beam electron density. Furthermore, the occurrence of localized envelope structures (solitons) is investigated, from first principles. The numerical analysis shows that the two first modes (essentially IAWs, modified due to the beam) present a complex behavior, essentially characterized by modulational stability for large wavelengths and instability for shorter ones. Dark-type envelope excitations (voids, holes) occur in the former case, while bright-type ones (pulses) appear in the latter. The latter two modes are characterized by an intrinsic instability, as the frequency develops a finite imaginary part for small ionic temperature values. At intermediate temperatures, both bright- and dark-type excitationsmore » may exist, although the numerical landscape is intertwined between stability and instability regions.« less

Authors:
; ; ;  [1];  [2];  [3]
  1. Azarbaijan University of Tarbiat Moallem, Faculty of Science, Department of Physics, 51745-406, Tabriz (Iran, Islamic Republic of)
  2. (Germany)
  3. (Iran, Islamic Republic of)
Publication Date:
OSTI Identifier:
20782733
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 13; Journal Issue: 4; Other Information: DOI: 10.1063/1.2182928; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AMPLITUDES; BEAM-PLASMA SYSTEMS; DISTURBANCES; ELECTRON BEAMS; ELECTRON DENSITY; ELECTRON TEMPERATURE; ELECTRONS; EXCITATION; ION ACOUSTIC WAVES; ION TEMPERATURE; IONS; MODULATION; NONLINEAR PROBLEMS; NUMERICAL ANALYSIS; PLASMA; PLASMA DENSITY; PLASMA INSTABILITY; PULSES; RADIATION TRANSPORT; SCHROEDINGER EQUATION; SOLITONS; STABILITY

Citation Formats

Esfandyari-Kalejahi, A., Kourakis, I., Dasmalchi, B., Sayarizadeh, M., Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, Ruhr-Universitaet Bochum, D-44780 Bochum, and Azarbaijan University of Tarbiat Moallem, Faculty of Science, Department of Physics, 51745-406, Tabriz. Nonlinear propagation of modulated ion-acoustic plasma waves in the presence of an electron beam. United States: N. p., 2006. Web. doi:10.1063/1.2182928.
Esfandyari-Kalejahi, A., Kourakis, I., Dasmalchi, B., Sayarizadeh, M., Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, Ruhr-Universitaet Bochum, D-44780 Bochum, & Azarbaijan University of Tarbiat Moallem, Faculty of Science, Department of Physics, 51745-406, Tabriz. Nonlinear propagation of modulated ion-acoustic plasma waves in the presence of an electron beam. United States. doi:10.1063/1.2182928.
Esfandyari-Kalejahi, A., Kourakis, I., Dasmalchi, B., Sayarizadeh, M., Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, Ruhr-Universitaet Bochum, D-44780 Bochum, and Azarbaijan University of Tarbiat Moallem, Faculty of Science, Department of Physics, 51745-406, Tabriz. Sat . "Nonlinear propagation of modulated ion-acoustic plasma waves in the presence of an electron beam". United States. doi:10.1063/1.2182928.
@article{osti_20782733,
title = {Nonlinear propagation of modulated ion-acoustic plasma waves in the presence of an electron beam},
author = {Esfandyari-Kalejahi, A. and Kourakis, I. and Dasmalchi, B. and Sayarizadeh, M. and Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, Ruhr-Universitaet Bochum, D-44780 Bochum and Azarbaijan University of Tarbiat Moallem, Faculty of Science, Department of Physics, 51745-406, Tabriz},
abstractNote = {Theoretical and numerical studies are presented of the amplitude modulation of ion-acoustic waves (IAWs) in a plasma consisting of warm ions, Maxwellian electrons, and a cold electron beam. Perturbations parallel to the carrier IAW propagation direction have been investigated. The existence of four distinct linear ion acoustic modes is shown, each of which possesses a different behavior from the modulational stability point of view. The stability analysis, based on a nonlinear Schroedinger equation (NLSE) reveals that the IAW may become unstable. The stability criteria depend on the IAW carrier wave number, and also on the ion temperature, the beam velocity and the beam electron density. Furthermore, the occurrence of localized envelope structures (solitons) is investigated, from first principles. The numerical analysis shows that the two first modes (essentially IAWs, modified due to the beam) present a complex behavior, essentially characterized by modulational stability for large wavelengths and instability for shorter ones. Dark-type envelope excitations (voids, holes) occur in the former case, while bright-type ones (pulses) appear in the latter. The latter two modes are characterized by an intrinsic instability, as the frequency develops a finite imaginary part for small ionic temperature values. At intermediate temperatures, both bright- and dark-type excitations may exist, although the numerical landscape is intertwined between stability and instability regions.},
doi = {10.1063/1.2182928},
journal = {Physics of Plasmas},
number = 4,
volume = 13,
place = {United States},
year = {Sat Apr 15 00:00:00 EDT 2006},
month = {Sat Apr 15 00:00:00 EDT 2006}
}