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Title: Nonlinear interaction of quantum electron plasma waves with quantum electron acoustic waves in plasmas

Abstract

An analysis of the interaction between modes involving two species with different pressures in the presence of a static-neutralizing ion background is presented using a quantum hydrodynamic model. It is shown that quantum electron plasma waves can nonlinearly interact with quantum electron acoustic waves in a time scale much longer than electron plasma oscillation response time. A set of coupled nonlinear differential equations is obtained that is similar to the Zakharov equations but includes quantum correction terms. These equations are solved in a moving frame, showing that solitary-wave-like solutions may also be possible in quantum Zakharov equations. It is also shown that quantum effects can reduce the growth rate of the usual caviton instability. Possible applications of the theory are also outlined.

Authors:
; ; ;  [1]
  1. Saha Institute of Nuclear Physics, 1/AF Bidhannagar Calcutta-700 064 (India)
Publication Date:
OSTI Identifier:
21560006
Resource Type:
Journal Article
Journal Name:
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)
Additional Journal Information:
Journal Volume: 83; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevE.83.016404; (c) 2011 American Institute of Physics; Journal ID: ISSN 1539-3755
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CORRECTIONS; DIFFERENTIAL EQUATIONS; ELECTRON PLASMA WAVES; ELECTRONS; HYDRODYNAMIC MODEL; INTERACTIONS; IONS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; OSCILLATION MODES; PLASMA; PLASMA INSTABILITY; QUANTUM MECHANICS; SOUND WAVES; CHARGED PARTICLES; ELEMENTARY PARTICLES; EQUATIONS; FERMIONS; INSTABILITY; LEPTONS; MATHEMATICAL MODELS; MECHANICS; PARTICLE MODELS; PLASMA WAVES; STATISTICAL MODELS; THERMODYNAMIC MODEL

Citation Formats

Chakrabarti, Nikhil, Mylavarapu, Janaki Sita, Dutta, Manjistha, Khan, Manoranjan, and Department of Instrumentation Science, Jadavpur University, Calcutta-700 032. Nonlinear interaction of quantum electron plasma waves with quantum electron acoustic waves in plasmas. United States: N. p., 2011. Web. doi:10.1103/PHYSREVE.83.016404.
Chakrabarti, Nikhil, Mylavarapu, Janaki Sita, Dutta, Manjistha, Khan, Manoranjan, & Department of Instrumentation Science, Jadavpur University, Calcutta-700 032. Nonlinear interaction of quantum electron plasma waves with quantum electron acoustic waves in plasmas. United States. https://doi.org/10.1103/PHYSREVE.83.016404
Chakrabarti, Nikhil, Mylavarapu, Janaki Sita, Dutta, Manjistha, Khan, Manoranjan, and Department of Instrumentation Science, Jadavpur University, Calcutta-700 032. 2011. "Nonlinear interaction of quantum electron plasma waves with quantum electron acoustic waves in plasmas". United States. https://doi.org/10.1103/PHYSREVE.83.016404.
@article{osti_21560006,
title = {Nonlinear interaction of quantum electron plasma waves with quantum electron acoustic waves in plasmas},
author = {Chakrabarti, Nikhil and Mylavarapu, Janaki Sita and Dutta, Manjistha and Khan, Manoranjan and Department of Instrumentation Science, Jadavpur University, Calcutta-700 032},
abstractNote = {An analysis of the interaction between modes involving two species with different pressures in the presence of a static-neutralizing ion background is presented using a quantum hydrodynamic model. It is shown that quantum electron plasma waves can nonlinearly interact with quantum electron acoustic waves in a time scale much longer than electron plasma oscillation response time. A set of coupled nonlinear differential equations is obtained that is similar to the Zakharov equations but includes quantum correction terms. These equations are solved in a moving frame, showing that solitary-wave-like solutions may also be possible in quantum Zakharov equations. It is also shown that quantum effects can reduce the growth rate of the usual caviton instability. Possible applications of the theory are also outlined.},
doi = {10.1103/PHYSREVE.83.016404},
url = {https://www.osti.gov/biblio/21560006}, journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)},
issn = {1539-3755},
number = 1,
volume = 83,
place = {United States},
year = {Sat Jan 15 00:00:00 EST 2011},
month = {Sat Jan 15 00:00:00 EST 2011}
}