Electrostatic electron cyclotron instabilities near the upper hybrid layer due to electron ring distributions

B. Eliasson, D. C. Speirs, L. K. S. Daldorff

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A theoretical study is presented of the electrostatic electron cyclotron instability involving Bernstein modes in a magnetized plasma. The presence of a tenuous thermal ring distribution in a Maxwellian plasma decreases the frequency of the upper hybrid branch of the electron Bernstein mode until it merges with the nearest lower branch with a resulting instability. The instability occurs when the upper hybrid frequency is somewhat above the third, fourth, and higher electron cyclotron harmonics, and gives rise to a narrow spectrum of waves around the electron cyclotron harmonic nearest to the upper hybrid frequency. For a tenuous cold ring distribution together with a Maxwellian distribution an instability can take place also near the second electron cyclotron harmonic. Noise-free Vlasov simulations are used to assess the theoretical linear growth-rates and frequency spectra, and to study the nonlinear evolution of the instability. The relevance of the results to laboratory and ionospheric heating experiments is discussed.
LanguageEnglish
Article number095002
Number of pages10
JournalPlasma Physics and Controlled Fusion
Volume58
Issue number9
DOIs
Publication statusPublished - 27 Jul 2016

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Cyclotrons
cyclotrons
Electrostatics
electrostatics
Electrons
rings
electrons
harmonics
ionospheric heating
Plasmas
Plasma stability
Maxwell-Boltzmann density function
Heating
heating
simulation
Experiments

Keywords

  • electrostatic electron cyclotron instability
  • thermal ring distribution
  • delta-function ring distribution
  • bernstein modes
  • Maxwellian distribution
  • ionospheric heating
  • magnetized plasmas

Cite this

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title = "Electrostatic electron cyclotron instabilities near the upper hybrid layer due to electron ring distributions",
abstract = "A theoretical study is presented of the electrostatic electron cyclotron instability involving Bernstein modes in a magnetized plasma. The presence of a tenuous thermal ring distribution in a Maxwellian plasma decreases the frequency of the upper hybrid branch of the electron Bernstein mode until it merges with the nearest lower branch with a resulting instability. The instability occurs when the upper hybrid frequency is somewhat above the third, fourth, and higher electron cyclotron harmonics, and gives rise to a narrow spectrum of waves around the electron cyclotron harmonic nearest to the upper hybrid frequency. For a tenuous cold ring distribution together with a Maxwellian distribution an instability can take place also near the second electron cyclotron harmonic. Noise-free Vlasov simulations are used to assess the theoretical linear growth-rates and frequency spectra, and to study the nonlinear evolution of the instability. The relevance of the results to laboratory and ionospheric heating experiments is discussed.",
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Electrostatic electron cyclotron instabilities near the upper hybrid layer due to electron ring distributions. / Eliasson, B.; Speirs, D. C.; Daldorff, L. K. S.

In: Plasma Physics and Controlled Fusion, Vol. 58, No. 9, 095002, 27.07.2016.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Electrostatic electron cyclotron instabilities near the upper hybrid layer due to electron ring distributions

AU - Eliasson, B.

AU - Speirs, D. C.

AU - Daldorff, L. K. S.

PY - 2016/7/27

Y1 - 2016/7/27

N2 - A theoretical study is presented of the electrostatic electron cyclotron instability involving Bernstein modes in a magnetized plasma. The presence of a tenuous thermal ring distribution in a Maxwellian plasma decreases the frequency of the upper hybrid branch of the electron Bernstein mode until it merges with the nearest lower branch with a resulting instability. The instability occurs when the upper hybrid frequency is somewhat above the third, fourth, and higher electron cyclotron harmonics, and gives rise to a narrow spectrum of waves around the electron cyclotron harmonic nearest to the upper hybrid frequency. For a tenuous cold ring distribution together with a Maxwellian distribution an instability can take place also near the second electron cyclotron harmonic. Noise-free Vlasov simulations are used to assess the theoretical linear growth-rates and frequency spectra, and to study the nonlinear evolution of the instability. The relevance of the results to laboratory and ionospheric heating experiments is discussed.

AB - A theoretical study is presented of the electrostatic electron cyclotron instability involving Bernstein modes in a magnetized plasma. The presence of a tenuous thermal ring distribution in a Maxwellian plasma decreases the frequency of the upper hybrid branch of the electron Bernstein mode until it merges with the nearest lower branch with a resulting instability. The instability occurs when the upper hybrid frequency is somewhat above the third, fourth, and higher electron cyclotron harmonics, and gives rise to a narrow spectrum of waves around the electron cyclotron harmonic nearest to the upper hybrid frequency. For a tenuous cold ring distribution together with a Maxwellian distribution an instability can take place also near the second electron cyclotron harmonic. Noise-free Vlasov simulations are used to assess the theoretical linear growth-rates and frequency spectra, and to study the nonlinear evolution of the instability. The relevance of the results to laboratory and ionospheric heating experiments is discussed.

KW - electrostatic electron cyclotron instability

KW - thermal ring distribution

KW - delta-function ring distribution

KW - bernstein modes

KW - Maxwellian distribution

KW - ionospheric heating

KW - magnetized plasmas

UR - http://iopscience.iop.org/journal/0741-3335

U2 - 10.1088/0741-3335/58/9/095002

DO - 10.1088/0741-3335/58/9/095002

M3 - Article

VL - 58

JO - Plasma Physics and Controlled Fusion

T2 - Plasma Physics and Controlled Fusion

JF - Plasma Physics and Controlled Fusion

SN - 0741-3335

IS - 9

M1 - 095002

ER -