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Title: Nonlinear wave modulation in a quantum magnetoplasma

Abstract

Amplitude modulation of ion-acoustic waves (IAW) in a magnetized electron-ion quantum plasma is investigated. For this purpose, a three-dimensional (3D) quantum magnetohydrodynamic model is considered in the limit of small mass ratio of the charged particles. By using the standard reductive perturbation technique, a 3D nonlinear Schroedinger equation containing the magnetic field and the quantum effects is derived. The importance of quantum corrections is described through a nondimensional parameter H which is proportional to quantum diffraction effects. Some important and new modulational instability criteria of 3D IAW, quite distinct from the classical one, are obtained and analyzed.

Authors:
;  [1];  [2]
  1. Department of Mathematics, Siksha Bhavana, Visva-Bharati University, Santiniketan-731 235 (India)
  2. (India)
Publication Date:
OSTI Identifier:
20960097
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 14; Journal Issue: 1; Other Information: DOI: 10.1063/1.2432052; (c) 2007 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; DIFFRACTION; ELECTRONS; INSTABILITY; ION ACOUSTIC WAVES; IONS; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; MODULATION; NONLINEAR PROBLEMS; PERTURBATION THEORY; QUANTUM PLASMA; SCHROEDINGER EQUATION; THREE-DIMENSIONAL CALCULATIONS

Citation Formats

Misra, Amar P., Bhowmik, Chandan, and Barisha High School, Barisha, Kolkata-700 008. Nonlinear wave modulation in a quantum magnetoplasma. United States: N. p., 2007. Web. doi:10.1063/1.2432052.
Misra, Amar P., Bhowmik, Chandan, & Barisha High School, Barisha, Kolkata-700 008. Nonlinear wave modulation in a quantum magnetoplasma. United States. doi:10.1063/1.2432052.
Misra, Amar P., Bhowmik, Chandan, and Barisha High School, Barisha, Kolkata-700 008. Mon . "Nonlinear wave modulation in a quantum magnetoplasma". United States. doi:10.1063/1.2432052.
@article{osti_20960097,
title = {Nonlinear wave modulation in a quantum magnetoplasma},
author = {Misra, Amar P. and Bhowmik, Chandan and Barisha High School, Barisha, Kolkata-700 008},
abstractNote = {Amplitude modulation of ion-acoustic waves (IAW) in a magnetized electron-ion quantum plasma is investigated. For this purpose, a three-dimensional (3D) quantum magnetohydrodynamic model is considered in the limit of small mass ratio of the charged particles. By using the standard reductive perturbation technique, a 3D nonlinear Schroedinger equation containing the magnetic field and the quantum effects is derived. The importance of quantum corrections is described through a nondimensional parameter H which is proportional to quantum diffraction effects. Some important and new modulational instability criteria of 3D IAW, quite distinct from the classical one, are obtained and analyzed.},
doi = {10.1063/1.2432052},
journal = {Physics of Plasmas},
number = 1,
volume = 14,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}