skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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}
}
  • We study the amplitude modulation of low-frequency, long-wavelength electrostatic drift-wave envelopes in a nonuniform quantum magnetoplasma consisting of cold ions and degenerate electrons. The effects of tunneling associated with the quantum Bohm potential and the Fermi pressure for nonrelativistic degenerate electrons, as well as the equilibrium density and magnetic field inhomogeneities are taken into account. Starting from a set of quantum magnetohydrodynamic equations, we derive a nonlinear Schr√∂dinger equation (NLSE) that governs the dynamics of the modulated quantum drift-wave packets. The NLSE is used to study the modulational instability (MI) of a Stoke's wave train to a small plane wavemore » perturbation. It is shown that the quantum tunneling effect as well as the scale length of inhomogeneity plays crucial roles for the MI of the drift-wave packets. Thus, the latter can propagate in the form of bright and dark envelope solitons or as drift-wave rogons in degenerate dense magnetoplasmas.« less
  • Cylindrical and spherical amplitude modulation of quantum ion-acoustic (QIA) envelope solitary waves in a dense quantum plasma comprised of electrons and ions is investigated. For this purpose, a one-dimensional quantum hydrodynamic model and the Poisson equation are considered. By using the standard reductive perturbation technique, a modified nonlinear Schroedinger equation with the geometrical and the quantum effects is derived. The effect of quantum corrections and the effect due to the cylindrical and spherical geometries on the propagation of the QIA envelope solitary waves are examined. It is shown that there exists a modulation instability period depending on the quantum parameter,more » which does not exist for the one-dimensional classical case.« less
  • Experimental results are presented which verify the nonlinear skin effect of high-power microwaves incident on a collisionless, uniform plasma having a sharp boundary. The skin depth, observed by microwave reflection techniques, increases with the incident microwave power. The results are compared with the theoretical analysis in which the radiation pressure due to the electromagnetic field is taken into account. It is also found that a density- rarefaction wave caused by an incident microwave propagates through an over-dense plasma at a velocity closer to that of the ion acoustic wave. (AIP)
  • We present a simple analytical nonlinear theory for quantum diodes in a dense Fermi magnetoplasma. By using the steady-state quantum hydrodynamical equations for a dense Fermi magnetoplasma, we derive coupled nonlinear Schoedinger and Poisson equations. The latter are numerically solved to show the effects of the quantum statistical pressure, the quantum tunneling (or the quantum diffraction), and the external magnetic field strength on the potential and electron density profiles in a quantum diode at nanometer scales. It is found that the quantum statistical pressure introduces a lower bound on the steady electron flow in the quantum diode, while the quantummore » diffraction effect allows the electron tunneling at low flow speeds. The magnetic field acts as a barrier, and larger potentials are needed to drive currents through the quantum diode.« less