Nonlinear aspects of quantum plasma physics: nanoplasmonics and nanostructures in dense plasmas

Bengt Eliasson, Padma Shukla

Research output: Contribution to journalArticle

Abstract

We present a short review of recent developments in nonlinear quantum plasma physics, including quantum hydrodynamic and effective nonlinear shrödinger equation formalisms, for describing collective phenomena in quantum plasmas. As examples we discuss simulation studies of the formation and dynamics of dark solitons and vortices, and of nonlinear interactions between intense circularly polarized electromagnetic (CPEM) waves and electron plasma oscillations (EPOs) in dense in quantum electron plasmas. The electron dynamics of dark solitons and vortices is governed by a pair of equations comprising the nonlinear Schrödinger and Poisson equations. Both dark solitons and singly charged electron vortices are robust, and the latter tend to form pairs of oppositely charged vortices. The two-dimensional quantum electron vortex pairs survive during collisions under the change of partners. The dynamics of the CPEM waves is governed by a nonlinear Schrödinger equation, which is nonlinearly coupled with the Schrödinger equation of the EPOs via the relativistic ponderomotive force, the relativistic electron mass increase in the CPEM field, and the electron density fluctuations. The present governing equations in one spatial dimension admit stationary solutions in the form dark envelope solitons. The nonlinear equations admit the modulational instability of an intense CPEM pump wave against EPOs, leading to the formation and trapping of localized CPEM wave envelopes in the electron density holes that are associated with positive potential profiles.
LanguageEnglish
Article number032
Number of pages9
JournalPlasma and Fusion Research
Volume4
DOIs
Publication statusPublished - 7 Jul 2009

Fingerprint

plasma physics
dense plasmas
electron plasma
electron oscillations
nonlinear equations
vortices
plasma oscillations
solitary waves
electromagnetic radiation
envelopes
electromagnetic pumps
ponderomotive forces
electrons
electron mass
Poisson equation
electromagnetic fields
trapping
hydrodynamics
collisions
profiles

Keywords

  • quantum plasma
  • dark soliton
  • vortices
  • electromagnetic waves
  • plasma oscillations

Cite this

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abstract = "We present a short review of recent developments in nonlinear quantum plasma physics, including quantum hydrodynamic and effective nonlinear shr{\"o}dinger equation formalisms, for describing collective phenomena in quantum plasmas. As examples we discuss simulation studies of the formation and dynamics of dark solitons and vortices, and of nonlinear interactions between intense circularly polarized electromagnetic (CPEM) waves and electron plasma oscillations (EPOs) in dense in quantum electron plasmas. The electron dynamics of dark solitons and vortices is governed by a pair of equations comprising the nonlinear Schr{\"o}dinger and Poisson equations. Both dark solitons and singly charged electron vortices are robust, and the latter tend to form pairs of oppositely charged vortices. The two-dimensional quantum electron vortex pairs survive during collisions under the change of partners. The dynamics of the CPEM waves is governed by a nonlinear Schr{\"o}dinger equation, which is nonlinearly coupled with the Schr{\"o}dinger equation of the EPOs via the relativistic ponderomotive force, the relativistic electron mass increase in the CPEM field, and the electron density fluctuations. The present governing equations in one spatial dimension admit stationary solutions in the form dark envelope solitons. The nonlinear equations admit the modulational instability of an intense CPEM pump wave against EPOs, leading to the formation and trapping of localized CPEM wave envelopes in the electron density holes that are associated with positive potential profiles.",
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Nonlinear aspects of quantum plasma physics : nanoplasmonics and nanostructures in dense plasmas. / Eliasson, Bengt; Shukla, Padma.

In: Plasma and Fusion Research, Vol. 4, 032, 07.07.2009.

Research output: Contribution to journalArticle

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