Nonlinear dynamics of large-amplitude dust acoustic shocks and solitary pulses in dusty plasmas

Padma Shukla, Bengt Eliasson

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We present a fully nonlinear theory for dust acoustic (DA) shocks and DA solitary pulses in a strongly coupled dusty plasma, which have been recently observed experimentally by Heinrich et al. [ Phys. Rev. Lett. 103 115002 (2009)], Teng et al. [ Phys. Rev. Lett. 103 245005 (2009)], and Bandyopadhyay et al. [ Phys. Rev. Lett. 101 065006 (2008)]. For this purpose, we use a generalized hydrodynamic model for the strongly coupled dust grains, accounting for arbitrary large-amplitude dust number density compressions and potential distributions associated with fully nonlinear nonstationary DA waves. Time-dependent numerical solutions of our nonlinear model compare favorably well with the recent experimental works (mentioned above) that have reported the formation of large-amplitude nonstationary DA shocks and DA solitary pulses in low-temperature dusty plasma discharges.
LanguageEnglish
Article number046402
Number of pages6
JournalPhysical Review E
Volume86
Issue number4
DOIs
Publication statusPublished - 15 Oct 2012

Fingerprint

dusty plasmas
Nonlinear Dynamics
Shock
Acoustics
Plasma
dust
shock
acoustics
Fully Nonlinear
pulses
Hydrodynamic Model
Acoustic Waves
Nonlinear Model
Compression
strongly coupled plasmas
Numerical Solution
cold plasmas
Arbitrary
plasma jets
hydrodynamics

Keywords

  • dusty plasmas
  • shocks
  • solitary waves
  • nonlinear dynamics
  • large-amplitude
  • solitary pulses

Cite this

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abstract = "We present a fully nonlinear theory for dust acoustic (DA) shocks and DA solitary pulses in a strongly coupled dusty plasma, which have been recently observed experimentally by Heinrich et al. [ Phys. Rev. Lett. 103 115002 (2009)], Teng et al. [ Phys. Rev. Lett. 103 245005 (2009)], and Bandyopadhyay et al. [ Phys. Rev. Lett. 101 065006 (2008)]. For this purpose, we use a generalized hydrodynamic model for the strongly coupled dust grains, accounting for arbitrary large-amplitude dust number density compressions and potential distributions associated with fully nonlinear nonstationary DA waves. Time-dependent numerical solutions of our nonlinear model compare favorably well with the recent experimental works (mentioned above) that have reported the formation of large-amplitude nonstationary DA shocks and DA solitary pulses in low-temperature dusty plasma discharges.",
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Nonlinear dynamics of large-amplitude dust acoustic shocks and solitary pulses in dusty plasmas. / Shukla, Padma; Eliasson, Bengt.

In: Physical Review E, Vol. 86, No. 4, 046402, 15.10.2012.

Research output: Contribution to journalArticle

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AU - Shukla, Padma

AU - Eliasson, Bengt

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AB - We present a fully nonlinear theory for dust acoustic (DA) shocks and DA solitary pulses in a strongly coupled dusty plasma, which have been recently observed experimentally by Heinrich et al. [ Phys. Rev. Lett. 103 115002 (2009)], Teng et al. [ Phys. Rev. Lett. 103 245005 (2009)], and Bandyopadhyay et al. [ Phys. Rev. Lett. 101 065006 (2008)]. For this purpose, we use a generalized hydrodynamic model for the strongly coupled dust grains, accounting for arbitrary large-amplitude dust number density compressions and potential distributions associated with fully nonlinear nonstationary DA waves. Time-dependent numerical solutions of our nonlinear model compare favorably well with the recent experimental works (mentioned above) that have reported the formation of large-amplitude nonstationary DA shocks and DA solitary pulses in low-temperature dusty plasma discharges.

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KW - solitary waves

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KW - large-amplitude

KW - solitary pulses

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