Shock structure formation in dusty plasmas

S. I. Popel, A. P. Golub, T. V. Losseva, R. Bingham, S. Benkadda

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The problem of the evolution of a perturbation in a dusty plasma and its transformation into a nonlinear wave structure is considered. A computational method that allows one to solve the set of nonlinear evolutionary equations describing variable-charge dust grains, Boltzmann electrons, and inertial ions is developed. Exact steady-state solutions corresponding to ion-acoustic shock structures associated with anomalous dissipation originating from dust grain charging are found taking into account the effect of electron and ion charge separation. The role of this effect increases with the speed of the shock. The evolutions of an initial soliton (which is a steady-state wave solution in a plasma containing dust grains with a constant charge) and an initially immobile perturbation with a constant increased ion density are investigated. In a charge-varying dusty plasma, the soliton evolves into a nonsteady shock wave structure that propagates at a constant speed and whose amplitude decreases with time. The initially immobile perturbation with a constant increased ion density evolves into a shock structure similar to a steady-state shock wave. In the latter case, the compression shock wave is accompanied by a rarefaction region (dilatation wave), which finally leads to the destruction of the shock structure. The solution of the problem of the evolution of a perturbation and its transformation into a shock wave in a charge-varying dusty plasma opens up the possibility of describing real phenomena (such as supernova explosions) and laboratory and active space experiments.
LanguageEnglish
Pages455-461
Number of pages7
JournalPlasma Physics Reports
Volume27
Issue number6
DOIs
Publication statusPublished - 1 Jun 2001

Fingerprint

dusty plasmas
shock waves
shock
perturbation
dust
solitary waves
rarefaction
ion charge
polarization (charge separation)
nonlinear equations
destruction
charging
supernovae
explosions
ions
electrons
dissipation
acoustics

Keywords

  • dusty plasma
  • nonlinear wave structure
  • shock waves

Cite this

Popel, S. I., Golub, A. P., Losseva, T. V., Bingham, R., & Benkadda, S. (2001). Shock structure formation in dusty plasmas. Plasma Physics Reports, 27(6), 455-461. https://doi.org/10.1134/1.1378122
Popel, S. I. ; Golub, A. P. ; Losseva, T. V. ; Bingham, R. ; Benkadda, S. / Shock structure formation in dusty plasmas. In: Plasma Physics Reports. 2001 ; Vol. 27, No. 6. pp. 455-461.
@article{1842f751bf6841ef800bd4e84a491f19,
title = "Shock structure formation in dusty plasmas",
abstract = "The problem of the evolution of a perturbation in a dusty plasma and its transformation into a nonlinear wave structure is considered. A computational method that allows one to solve the set of nonlinear evolutionary equations describing variable-charge dust grains, Boltzmann electrons, and inertial ions is developed. Exact steady-state solutions corresponding to ion-acoustic shock structures associated with anomalous dissipation originating from dust grain charging are found taking into account the effect of electron and ion charge separation. The role of this effect increases with the speed of the shock. The evolutions of an initial soliton (which is a steady-state wave solution in a plasma containing dust grains with a constant charge) and an initially immobile perturbation with a constant increased ion density are investigated. In a charge-varying dusty plasma, the soliton evolves into a nonsteady shock wave structure that propagates at a constant speed and whose amplitude decreases with time. The initially immobile perturbation with a constant increased ion density evolves into a shock structure similar to a steady-state shock wave. In the latter case, the compression shock wave is accompanied by a rarefaction region (dilatation wave), which finally leads to the destruction of the shock structure. The solution of the problem of the evolution of a perturbation and its transformation into a shock wave in a charge-varying dusty plasma opens up the possibility of describing real phenomena (such as supernova explosions) and laboratory and active space experiments.",
keywords = "dusty plasma, nonlinear wave structure, shock waves",
author = "Popel, {S. I.} and Golub, {A. P.} and Losseva, {T. V.} and R. Bingham and S. Benkadda",
year = "2001",
month = "6",
day = "1",
doi = "10.1134/1.1378122",
language = "English",
volume = "27",
pages = "455--461",
journal = "Plasma Physics Reports",
issn = "1063-780X",
number = "6",

}

Popel, SI, Golub, AP, Losseva, TV, Bingham, R & Benkadda, S 2001, 'Shock structure formation in dusty plasmas' Plasma Physics Reports, vol. 27, no. 6, pp. 455-461. https://doi.org/10.1134/1.1378122

Shock structure formation in dusty plasmas. / Popel, S. I.; Golub, A. P.; Losseva, T. V.; Bingham, R.; Benkadda, S.

In: Plasma Physics Reports, Vol. 27, No. 6, 01.06.2001, p. 455-461.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Shock structure formation in dusty plasmas

AU - Popel, S. I.

AU - Golub, A. P.

AU - Losseva, T. V.

AU - Bingham, R.

AU - Benkadda, S.

PY - 2001/6/1

Y1 - 2001/6/1

N2 - The problem of the evolution of a perturbation in a dusty plasma and its transformation into a nonlinear wave structure is considered. A computational method that allows one to solve the set of nonlinear evolutionary equations describing variable-charge dust grains, Boltzmann electrons, and inertial ions is developed. Exact steady-state solutions corresponding to ion-acoustic shock structures associated with anomalous dissipation originating from dust grain charging are found taking into account the effect of electron and ion charge separation. The role of this effect increases with the speed of the shock. The evolutions of an initial soliton (which is a steady-state wave solution in a plasma containing dust grains with a constant charge) and an initially immobile perturbation with a constant increased ion density are investigated. In a charge-varying dusty plasma, the soliton evolves into a nonsteady shock wave structure that propagates at a constant speed and whose amplitude decreases with time. The initially immobile perturbation with a constant increased ion density evolves into a shock structure similar to a steady-state shock wave. In the latter case, the compression shock wave is accompanied by a rarefaction region (dilatation wave), which finally leads to the destruction of the shock structure. The solution of the problem of the evolution of a perturbation and its transformation into a shock wave in a charge-varying dusty plasma opens up the possibility of describing real phenomena (such as supernova explosions) and laboratory and active space experiments.

AB - The problem of the evolution of a perturbation in a dusty plasma and its transformation into a nonlinear wave structure is considered. A computational method that allows one to solve the set of nonlinear evolutionary equations describing variable-charge dust grains, Boltzmann electrons, and inertial ions is developed. Exact steady-state solutions corresponding to ion-acoustic shock structures associated with anomalous dissipation originating from dust grain charging are found taking into account the effect of electron and ion charge separation. The role of this effect increases with the speed of the shock. The evolutions of an initial soliton (which is a steady-state wave solution in a plasma containing dust grains with a constant charge) and an initially immobile perturbation with a constant increased ion density are investigated. In a charge-varying dusty plasma, the soliton evolves into a nonsteady shock wave structure that propagates at a constant speed and whose amplitude decreases with time. The initially immobile perturbation with a constant increased ion density evolves into a shock structure similar to a steady-state shock wave. In the latter case, the compression shock wave is accompanied by a rarefaction region (dilatation wave), which finally leads to the destruction of the shock structure. The solution of the problem of the evolution of a perturbation and its transformation into a shock wave in a charge-varying dusty plasma opens up the possibility of describing real phenomena (such as supernova explosions) and laboratory and active space experiments.

KW - dusty plasma

KW - nonlinear wave structure

KW - shock waves

U2 - 10.1134/1.1378122

DO - 10.1134/1.1378122

M3 - Article

VL - 27

SP - 455

EP - 461

JO - Plasma Physics Reports

T2 - Plasma Physics Reports

JF - Plasma Physics Reports

SN - 1063-780X

IS - 6

ER -

Popel SI, Golub AP, Losseva TV, Bingham R, Benkadda S. Shock structure formation in dusty plasmas. Plasma Physics Reports. 2001 Jun 1;27(6):455-461. https://doi.org/10.1134/1.1378122