Nonlinear structure in a current-carrying collisional dusty plasma

F. Haas, P.K. Shukla

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A perpendicular ion drift is proposed as a possible mechanism for the generation of magnetic field structures in a highly collisional dusty plasma. The basic dissipation mechanism is assumed to be the dust-neutral momentum exchange, so that plasmas with a small ionization fraction are natural candidates for experiments. The model reduces to a nonlinear partial differential equation for the vector potential. The conditions for linear instability are presented. Possible stationary states are periodic arrangements for the magnetic field, described by a Lienard equation. The fully depleted ion-dust case is also considered in detail. Applications of the present work to magnetic field structures in planetary rings, comets, and low-temperature dusty plasma experiments are discussed. A necessary condition for the validity of the model is a sufficiently slow time scale of the generated magnetic fields in dusty plasmas.
LanguageEnglish
Pages093702-093702
Number of pages0
JournalPhysics of Plasmas
Volume15
Issue number9
DOIs
Publication statusPublished - Sep 2008

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collisional plasmas
dusty plasmas
dust
planetary rings
cold plasmas
comets
partial differential equations
dissipation
momentum
ionization
magnetic fields
ions

Keywords

  • collisional processes
  • dusty plasmas

Cite this

Haas, F. ; Shukla, P.K. / Nonlinear structure in a current-carrying collisional dusty plasma. In: Physics of Plasmas. 2008 ; Vol. 15, No. 9. pp. 093702-093702.
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Nonlinear structure in a current-carrying collisional dusty plasma. / Haas, F.; Shukla, P.K.

In: Physics of Plasmas, Vol. 15, No. 9, 09.2008, p. 093702-093702.

Research output: Contribution to journalArticle

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AU - Shukla, P.K.

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AB - A perpendicular ion drift is proposed as a possible mechanism for the generation of magnetic field structures in a highly collisional dusty plasma. The basic dissipation mechanism is assumed to be the dust-neutral momentum exchange, so that plasmas with a small ionization fraction are natural candidates for experiments. The model reduces to a nonlinear partial differential equation for the vector potential. The conditions for linear instability are presented. Possible stationary states are periodic arrangements for the magnetic field, described by a Lienard equation. The fully depleted ion-dust case is also considered in detail. Applications of the present work to magnetic field structures in planetary rings, comets, and low-temperature dusty plasma experiments are discussed. A necessary condition for the validity of the model is a sufficiently slow time scale of the generated magnetic fields in dusty plasmas.

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