Quantum Faraday excitations in degenerate electron-ion plasma

M. Akbari-Moghanjoughi, B. Eliasson

Research output: Contribution to journalArticle

Abstract

A hydrodynamic two-fluid model encompassing inertialess electrons of arbitrary degree of degeneracy and cold ions using the quasineutrality assumption are reduced to an effective nonlinear Schr\"{o}dinger equation (NLSE) which is used to investigate driven electrostatic ion quasi-particle excitations. The quantized frequency spectrum of these quasi-particle excitations in a one-dimensional quasineutral electron-ion plasma confined in rectangular potential well is calculated. The spectrum shows a quadratic energy level increase quite similar to that of a single electron confined in a hard box, with much reduced level spacings proportional to the electron-to-ion mass ratio. The parametrically driven NLSE is also used to study the quantum Faraday excitations in both weakly and fully nonlinear regimes by employing the pseudo-potential technique. The quantization criterion for fully nonlinear driven quantum Faraday excitations in an arbitrary degenerate plasma confined in a hard box of length $l$ is derived, and it is shown that these excitations constitute a full frequency spectrum level starting with those of small amplitude, high frequency sinusoidal quasi-particles up to the topmost zero-frequency level solitary quasi-particle excitations (quasi-soliton level).
Original languageEnglish
Number of pages19
JournalPhysica Scripta
Publication statusAccepted/In press - 16 Dec 2019

Fingerprint

Plasma
Quasiparticles
Excitation
Electron
elementary excitations
excitation
ions
electrons
Frequency Spectrum
Fully Nonlinear
boxes
Two-fluid Model
Pseudopotential
two fluid models
Hydrodynamic Model
Potential Well
Arbitrary
Energy Levels
Degeneracy
mass ratios

Keywords

  • cold ions
  • electrons
  • nonlinear Schrodinger equation
  • frequency spectrum

Cite this

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Quantum Faraday excitations in degenerate electron-ion plasma. / Akbari-Moghanjoughi, M.; Eliasson, B.

In: Physica Scripta, 16.12.2019.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Quantum Faraday excitations in degenerate electron-ion plasma

AU - Akbari-Moghanjoughi, M.

AU - Eliasson, B.

PY - 2019/12/16

Y1 - 2019/12/16

N2 - A hydrodynamic two-fluid model encompassing inertialess electrons of arbitrary degree of degeneracy and cold ions using the quasineutrality assumption are reduced to an effective nonlinear Schr\"{o}dinger equation (NLSE) which is used to investigate driven electrostatic ion quasi-particle excitations. The quantized frequency spectrum of these quasi-particle excitations in a one-dimensional quasineutral electron-ion plasma confined in rectangular potential well is calculated. The spectrum shows a quadratic energy level increase quite similar to that of a single electron confined in a hard box, with much reduced level spacings proportional to the electron-to-ion mass ratio. The parametrically driven NLSE is also used to study the quantum Faraday excitations in both weakly and fully nonlinear regimes by employing the pseudo-potential technique. The quantization criterion for fully nonlinear driven quantum Faraday excitations in an arbitrary degenerate plasma confined in a hard box of length $l$ is derived, and it is shown that these excitations constitute a full frequency spectrum level starting with those of small amplitude, high frequency sinusoidal quasi-particles up to the topmost zero-frequency level solitary quasi-particle excitations (quasi-soliton level).

AB - A hydrodynamic two-fluid model encompassing inertialess electrons of arbitrary degree of degeneracy and cold ions using the quasineutrality assumption are reduced to an effective nonlinear Schr\"{o}dinger equation (NLSE) which is used to investigate driven electrostatic ion quasi-particle excitations. The quantized frequency spectrum of these quasi-particle excitations in a one-dimensional quasineutral electron-ion plasma confined in rectangular potential well is calculated. The spectrum shows a quadratic energy level increase quite similar to that of a single electron confined in a hard box, with much reduced level spacings proportional to the electron-to-ion mass ratio. The parametrically driven NLSE is also used to study the quantum Faraday excitations in both weakly and fully nonlinear regimes by employing the pseudo-potential technique. The quantization criterion for fully nonlinear driven quantum Faraday excitations in an arbitrary degenerate plasma confined in a hard box of length $l$ is derived, and it is shown that these excitations constitute a full frequency spectrum level starting with those of small amplitude, high frequency sinusoidal quasi-particles up to the topmost zero-frequency level solitary quasi-particle excitations (quasi-soliton level).

KW - cold ions

KW - electrons

KW - nonlinear Schrodinger equation

KW - frequency spectrum

UR - https://iopscience.iop.org/journal/1402-4896

M3 - Article

JO - Physica Scripta

JF - Physica Scripta

SN - 0031-8949

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