Ion-beam/plasma modes in ultradense relativistic quantum plasmas: Dispersion characteristics and beam-driven instability

I. S. Elkamash; F. Haas; I. Kourakis

doi:10.1063/1.4989777

Ion-beam/plasma modes in ultradense relativistic quantum plasmas: Dispersion characteristics and beam-driven instability

I. S. Elkamash
, F. Haas
, I. Kourakis

Mathematics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

A relativistic quantum-hydrodynamic plasma model is proposed, to model the propagation of electrostatic waves in an ultradense quantum electron-ion plasma in the presence of an ion beam. A dispersion relation is derived for harmonic waves, and the stability of electrostatic wavepackets is investigated. Three types of waves are shown to exist, representing a modified electron plasma (Langmuir-type) mode, a low-frequency ion acoustic mode, and an ion-beam driven mode, respectively. Stability analysis reveals the occurrence of an imaginary frequency part in three regions. The dependence of the instability growth rate on the ion beam parameters (concentration and speed) has been investigated.

Original language	British English
Article number	092119
Journal	Physics of Plasmas
Volume	24
Issue number	9
DOIs	https://doi.org/10.1063/1.4989777
State	Published - 1 Sep 2017

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@article{07f6559982254f89af71b926dcb31c7f,

title = "Ion-beam/plasma modes in ultradense relativistic quantum plasmas: Dispersion characteristics and beam-driven instability",

abstract = "A relativistic quantum-hydrodynamic plasma model is proposed, to model the propagation of electrostatic waves in an ultradense quantum electron-ion plasma in the presence of an ion beam. A dispersion relation is derived for harmonic waves, and the stability of electrostatic wavepackets is investigated. Three types of waves are shown to exist, representing a modified electron plasma (Langmuir-type) mode, a low-frequency ion acoustic mode, and an ion-beam driven mode, respectively. Stability analysis reveals the occurrence of an imaginary frequency part in three regions. The dependence of the instability growth rate on the ion beam parameters (concentration and speed) has been investigated.",

author = "Elkamash, \{I. S.\} and F. Haas and I. Kourakis",

note = "Funding Information: The authors acknowledge support from the EU-FP7 IRSES Programme (Grant No. 612506 QUANTUM PLASMAS FP7-PEOPLE-2013-IRSES). F.H. and I.K. gratefully acknowledge support from the Brazilian research fund CNPq (Conselho Nacional de Desenvolvimento Cient{\'i}fico e Tecnol{\'o}gico-Brasil). I.K. and I. S. Elkamash acknowledge the hospitality of Instituto de F{\'i}sica, Universidade Federal do Rio Grande do Sul (Porto Alegre, Brazil), where the largest part of this work was carried out. I. S. Elkamash acknowledges the financial support via an Egyptian Government fellowship. Publisher Copyright: {\textcopyright} 2017 Author(s).",

year = "2017",

month = sep,

day = "1",

doi = "10.1063/1.4989777",

language = "British English",

volume = "24",

journal = "Physics of Plasmas",

issn = "1070-664X",

publisher = "American Institute of Physics",

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TY - JOUR

T1 - Ion-beam/plasma modes in ultradense relativistic quantum plasmas

T2 - Dispersion characteristics and beam-driven instability

AU - Elkamash, I. S.

AU - Haas, F.

AU - Kourakis, I.

N1 - Funding Information: The authors acknowledge support from the EU-FP7 IRSES Programme (Grant No. 612506 QUANTUM PLASMAS FP7-PEOPLE-2013-IRSES). F.H. and I.K. gratefully acknowledge support from the Brazilian research fund CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico-Brasil). I.K. and I. S. Elkamash acknowledge the hospitality of Instituto de Física, Universidade Federal do Rio Grande do Sul (Porto Alegre, Brazil), where the largest part of this work was carried out. I. S. Elkamash acknowledges the financial support via an Egyptian Government fellowship. Publisher Copyright: © 2017 Author(s).

PY - 2017/9/1

Y1 - 2017/9/1

N2 - A relativistic quantum-hydrodynamic plasma model is proposed, to model the propagation of electrostatic waves in an ultradense quantum electron-ion plasma in the presence of an ion beam. A dispersion relation is derived for harmonic waves, and the stability of electrostatic wavepackets is investigated. Three types of waves are shown to exist, representing a modified electron plasma (Langmuir-type) mode, a low-frequency ion acoustic mode, and an ion-beam driven mode, respectively. Stability analysis reveals the occurrence of an imaginary frequency part in three regions. The dependence of the instability growth rate on the ion beam parameters (concentration and speed) has been investigated.

AB - A relativistic quantum-hydrodynamic plasma model is proposed, to model the propagation of electrostatic waves in an ultradense quantum electron-ion plasma in the presence of an ion beam. A dispersion relation is derived for harmonic waves, and the stability of electrostatic wavepackets is investigated. Three types of waves are shown to exist, representing a modified electron plasma (Langmuir-type) mode, a low-frequency ion acoustic mode, and an ion-beam driven mode, respectively. Stability analysis reveals the occurrence of an imaginary frequency part in three regions. The dependence of the instability growth rate on the ion beam parameters (concentration and speed) has been investigated.

UR - https://www.scopus.com/pages/publications/85030466593

U2 - 10.1063/1.4989777

DO - 10.1063/1.4989777

M3 - Article

AN - SCOPUS:85030466593

SN - 1070-664X

VL - 24

JO - Physics of Plasmas

JF - Physics of Plasmas

IS - 9

M1 - 092119

ER -

Ion-beam/plasma modes in ultradense relativistic quantum plasmas: Dispersion characteristics and beam-driven instability

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