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

P. K. Shukla and B. Eliasson
Phys. Rev. E 86, 046402 – Published 15 October 2012

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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  • Received 25 May 2012

DOI:https://doi.org/10.1103/PhysRevE.86.046402

©2012 American Physical Society

Authors & Affiliations

P. K. Shukla1,2,* and B. Eliasson1

  • 1International Centre for Advanced Studies in Physical Sciences & Institute for Theoretical Physics, Faculty of Physics & Astronomy, Ruhr University Bochum, D-44780 Bochum, Germany
  • 2Department of Mechanical and Aerospace Engineering & Centre for Energy Research, University of California, San Diego, La Jolla, California 92093, USA

  • *profshukla@yahoo.de

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Vol. 86, Iss. 4 — October 2012

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