Localized plasmons in quantum plasmas

P.K. Shukla, B. Eliasson

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We consider the nonlinear interactions between finite amplitude electron and ion plasma oscillations in a fermionic quantum plasma. Accounting for the quantum statistical electron pressure and the quantum Bohm potential, we derive a set of coupled nonlinear equations that govern the dynamics of modulated electron plasma oscillations (EPOs) in the presence of the nonlinear ion oscillations (NLIOs). We numerically study stationary solutions of our coupled nonlinear equations. We find that the quantum parameter H (equal to the ratio between the plasmonic and electron Fermi energy densities) introduces new features to the electron density and electric potential humps of localized NLIOs in the absence of EPOs. Furthermore, the nonlinear coupling between the EPOs and NLIOs gives rise to a new class of envelope solitons composed of bell shaped electric field envelope of the EPOs, which are trapped in the electron density hole (and an associated negative oscillatory electric potential) that is produced by the ponderomotive force of the EPOs. The knowledge of the localized plasmonic structures is of immense value for interpreting experimental observations in dense quantum plasmas.
LanguageEnglish
Pages2893-2896
Number of pages4
JournalPhysics Letters A
Volume372
Issue number16
DOIs
Publication statusPublished - 14 Apr 2008

Fingerprint

plasma oscillations
plasmons
electron oscillations
electron plasma
nonlinear equations
envelopes
electron pressure
ponderomotive forces
electric potential
bells
flux density
solitary waves
electric fields

Keywords

  • quantum plasma
  • plasmons
  • ion plasma
  • electron plasma oscillations

Cite this

Shukla, P.K. ; Eliasson, B. / Localized plasmons in quantum plasmas. In: Physics Letters A. 2008 ; Vol. 372, No. 16. pp. 2893-2896.
@article{92d03a7c33e14d68bb1fa16d5de44727,
title = "Localized plasmons in quantum plasmas",
abstract = "We consider the nonlinear interactions between finite amplitude electron and ion plasma oscillations in a fermionic quantum plasma. Accounting for the quantum statistical electron pressure and the quantum Bohm potential, we derive a set of coupled nonlinear equations that govern the dynamics of modulated electron plasma oscillations (EPOs) in the presence of the nonlinear ion oscillations (NLIOs). We numerically study stationary solutions of our coupled nonlinear equations. We find that the quantum parameter H (equal to the ratio between the plasmonic and electron Fermi energy densities) introduces new features to the electron density and electric potential humps of localized NLIOs in the absence of EPOs. Furthermore, the nonlinear coupling between the EPOs and NLIOs gives rise to a new class of envelope solitons composed of bell shaped electric field envelope of the EPOs, which are trapped in the electron density hole (and an associated negative oscillatory electric potential) that is produced by the ponderomotive force of the EPOs. The knowledge of the localized plasmonic structures is of immense value for interpreting experimental observations in dense quantum plasmas.",
keywords = "quantum plasma, plasmons, ion plasma, electron plasma oscillations",
author = "P.K. Shukla and B. Eliasson",
year = "2008",
month = "4",
day = "14",
doi = "10.1016/j.physleta.2007.11.074",
language = "English",
volume = "372",
pages = "2893--2896",
journal = "Physics Letters A",
issn = "0375-9601",
number = "16",

}

Localized plasmons in quantum plasmas. / Shukla, P.K.; Eliasson, B.

In: Physics Letters A, Vol. 372, No. 16, 14.04.2008, p. 2893-2896.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Localized plasmons in quantum plasmas

AU - Shukla, P.K.

AU - Eliasson, B.

PY - 2008/4/14

Y1 - 2008/4/14

N2 - We consider the nonlinear interactions between finite amplitude electron and ion plasma oscillations in a fermionic quantum plasma. Accounting for the quantum statistical electron pressure and the quantum Bohm potential, we derive a set of coupled nonlinear equations that govern the dynamics of modulated electron plasma oscillations (EPOs) in the presence of the nonlinear ion oscillations (NLIOs). We numerically study stationary solutions of our coupled nonlinear equations. We find that the quantum parameter H (equal to the ratio between the plasmonic and electron Fermi energy densities) introduces new features to the electron density and electric potential humps of localized NLIOs in the absence of EPOs. Furthermore, the nonlinear coupling between the EPOs and NLIOs gives rise to a new class of envelope solitons composed of bell shaped electric field envelope of the EPOs, which are trapped in the electron density hole (and an associated negative oscillatory electric potential) that is produced by the ponderomotive force of the EPOs. The knowledge of the localized plasmonic structures is of immense value for interpreting experimental observations in dense quantum plasmas.

AB - We consider the nonlinear interactions between finite amplitude electron and ion plasma oscillations in a fermionic quantum plasma. Accounting for the quantum statistical electron pressure and the quantum Bohm potential, we derive a set of coupled nonlinear equations that govern the dynamics of modulated electron plasma oscillations (EPOs) in the presence of the nonlinear ion oscillations (NLIOs). We numerically study stationary solutions of our coupled nonlinear equations. We find that the quantum parameter H (equal to the ratio between the plasmonic and electron Fermi energy densities) introduces new features to the electron density and electric potential humps of localized NLIOs in the absence of EPOs. Furthermore, the nonlinear coupling between the EPOs and NLIOs gives rise to a new class of envelope solitons composed of bell shaped electric field envelope of the EPOs, which are trapped in the electron density hole (and an associated negative oscillatory electric potential) that is produced by the ponderomotive force of the EPOs. The knowledge of the localized plasmonic structures is of immense value for interpreting experimental observations in dense quantum plasmas.

KW - quantum plasma

KW - plasmons

KW - ion plasma

KW - electron plasma oscillations

UR - http://www.sciencedirect.com/science/article/pii/S0375960108000315

U2 - 10.1016/j.physleta.2007.11.074

DO - 10.1016/j.physleta.2007.11.074

M3 - Article

VL - 372

SP - 2893

EP - 2896

JO - Physics Letters A

T2 - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 16

ER -