Trapping of Langmuir waves in ion holes

Bengt Eliasson, Padma Kant Shukla

Research output: Contribution to journalArticle

Abstract

We present analytical and numerical studies of a new electron plasma wave interaction mechanism which reveals trapping of Langmuir waves in ion holes associated with non-isothermal ion distribution functions. This Langmuir-ion hole interaction is a unique kinetic phenomenon, which is governed by two second-order nonlinear differential equations in which the Langmuir wave electric field and ion hole potential are coupled in a complex fashion. Numerical analyses of our nonlinearly coupled differential equations exhibit trapping of localized Langmuir wave envelops in ion holes which are moving with sub- or super ion thermal speeds. The resulting ambipolar potential of the ion hole is essentially negative, giving rise to bipolar slow electric fields. The theoretical predictions are investigated numerically with a fully kinetic Vlasov code, and are found to be in qualitative agreement with the numerical results. Furthermore, a process for the generation of Langmuir waves by colliding ion holes is studied numerically.
LanguageEnglish
Pages192-199
Number of pages8
JournalPhysica Scripta
Volume2004
Issue numberT107
DOIs
Publication statusPublished - 2004

Fingerprint

Trapping
trapping
ions
Electric Field
Kinetics
differential equations
Wave Interaction
electric fields
ion distribution
Second order differential equation
kinetics
wave interaction
Nonlinear Differential Equations
plasma waves
electron plasma
Numerical Study
Distribution Function
Plasma
Electron
Differential equation

Keywords

  • waves
  • wave propagation
  • plasma dynamics
  • plasma flow
  • ion holes
  • Vlasov equation

Cite this

Eliasson, Bengt ; Shukla, Padma Kant. / Trapping of Langmuir waves in ion holes. In: Physica Scripta. 2004 ; Vol. 2004, No. T107. pp. 192-199.
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abstract = "We present analytical and numerical studies of a new electron plasma wave interaction mechanism which reveals trapping of Langmuir waves in ion holes associated with non-isothermal ion distribution functions. This Langmuir-ion hole interaction is a unique kinetic phenomenon, which is governed by two second-order nonlinear differential equations in which the Langmuir wave electric field and ion hole potential are coupled in a complex fashion. Numerical analyses of our nonlinearly coupled differential equations exhibit trapping of localized Langmuir wave envelops in ion holes which are moving with sub- or super ion thermal speeds. The resulting ambipolar potential of the ion hole is essentially negative, giving rise to bipolar slow electric fields. The theoretical predictions are investigated numerically with a fully kinetic Vlasov code, and are found to be in qualitative agreement with the numerical results. Furthermore, a process for the generation of Langmuir waves by colliding ion holes is studied numerically.",
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Trapping of Langmuir waves in ion holes. / Eliasson, Bengt; Shukla, Padma Kant.

In: Physica Scripta, Vol. 2004, No. T107, 2004, p. 192-199.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Trapping of Langmuir waves in ion holes

AU - Eliasson, Bengt

AU - Shukla, Padma Kant

PY - 2004

Y1 - 2004

N2 - We present analytical and numerical studies of a new electron plasma wave interaction mechanism which reveals trapping of Langmuir waves in ion holes associated with non-isothermal ion distribution functions. This Langmuir-ion hole interaction is a unique kinetic phenomenon, which is governed by two second-order nonlinear differential equations in which the Langmuir wave electric field and ion hole potential are coupled in a complex fashion. Numerical analyses of our nonlinearly coupled differential equations exhibit trapping of localized Langmuir wave envelops in ion holes which are moving with sub- or super ion thermal speeds. The resulting ambipolar potential of the ion hole is essentially negative, giving rise to bipolar slow electric fields. The theoretical predictions are investigated numerically with a fully kinetic Vlasov code, and are found to be in qualitative agreement with the numerical results. Furthermore, a process for the generation of Langmuir waves by colliding ion holes is studied numerically.

AB - We present analytical and numerical studies of a new electron plasma wave interaction mechanism which reveals trapping of Langmuir waves in ion holes associated with non-isothermal ion distribution functions. This Langmuir-ion hole interaction is a unique kinetic phenomenon, which is governed by two second-order nonlinear differential equations in which the Langmuir wave electric field and ion hole potential are coupled in a complex fashion. Numerical analyses of our nonlinearly coupled differential equations exhibit trapping of localized Langmuir wave envelops in ion holes which are moving with sub- or super ion thermal speeds. The resulting ambipolar potential of the ion hole is essentially negative, giving rise to bipolar slow electric fields. The theoretical predictions are investigated numerically with a fully kinetic Vlasov code, and are found to be in qualitative agreement with the numerical results. Furthermore, a process for the generation of Langmuir waves by colliding ion holes is studied numerically.

KW - waves

KW - wave propagation

KW - plasma dynamics

KW - plasma flow

KW - ion holes

KW - Vlasov equation

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