Ion-acoustic cnoidal waves in a quantum plasma
Abstract
Nonlinear ion-acoustic cnoidal wave structures are studied in an unmagnetized quantum plasma. Using the reductive perturbation method, a Korteweg-de Vries equation is derived for appropriate boundary conditions and nonlinear periodic wave solutions are obtained. The corresponding analytical solution and numerical plots of the ion-acoustic cnoidal waves and solitons in the phase plane are presented using the Sagdeev pseudo-potential approach. The variations in the nonlinear potential of the ion-acoustic cnoidal waves are studied at different values of quantum parameter H{sub e} which is the ratio of electron plasmon energy to electron Fermi energy defined for degenerate electrons. It is found that both compressive and rarefactive ion-acoustic cnoidal wave structures are formed depending on the value of the quantum parameter. The dependence of the wavelength and frequency on nonlinear wave amplitude is also presented.
- Authors:
-
- Physics Institute, Federal University of Rio Grande do Sul, RS, Porto Alegre 915051-970 (Brazil)
- Publication Date:
- OSTI Identifier:
- 22299667
- Resource Type:
- Journal Article
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 21; Journal Issue: 10; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANALYTICAL SOLUTION; BOUNDARY CONDITIONS; ELECTRONS; IONS; KORTEWEG-DE VRIES EQUATION; NONLINEAR PROBLEMS; PERTURBATION THEORY; QUANTUM PLASMA; SOLITONS
Citation Formats
Mahmood, S., Theoretical Physics Division, and Haas, F. Ion-acoustic cnoidal waves in a quantum plasma. United States: N. p., 2014.
Web. doi:10.1063/1.4899041.
Mahmood, S., Theoretical Physics Division, & Haas, F. Ion-acoustic cnoidal waves in a quantum plasma. United States. https://doi.org/10.1063/1.4899041
Mahmood, S., Theoretical Physics Division, and Haas, F. 2014.
"Ion-acoustic cnoidal waves in a quantum plasma". United States. https://doi.org/10.1063/1.4899041.
@article{osti_22299667,
title = {Ion-acoustic cnoidal waves in a quantum plasma},
author = {Mahmood, S. and Theoretical Physics Division and Haas, F.},
abstractNote = {Nonlinear ion-acoustic cnoidal wave structures are studied in an unmagnetized quantum plasma. Using the reductive perturbation method, a Korteweg-de Vries equation is derived for appropriate boundary conditions and nonlinear periodic wave solutions are obtained. The corresponding analytical solution and numerical plots of the ion-acoustic cnoidal waves and solitons in the phase plane are presented using the Sagdeev pseudo-potential approach. The variations in the nonlinear potential of the ion-acoustic cnoidal waves are studied at different values of quantum parameter H{sub e} which is the ratio of electron plasmon energy to electron Fermi energy defined for degenerate electrons. It is found that both compressive and rarefactive ion-acoustic cnoidal wave structures are formed depending on the value of the quantum parameter. The dependence of the wavelength and frequency on nonlinear wave amplitude is also presented.},
doi = {10.1063/1.4899041},
url = {https://www.osti.gov/biblio/22299667},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 10,
volume = 21,
place = {United States},
year = {Wed Oct 15 00:00:00 EDT 2014},
month = {Wed Oct 15 00:00:00 EDT 2014}
}