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Effect of dust size distribution and dust charge fluctuation on dust ion-acoustic shock waves in a multi-ion dusty plasma

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Abstract

The effects of dust size distribution and dust charge fluctuation of dust grains on the small but finite amplitude nonlinear dust ion-acoustic shock waves, in an unmagnetized multi-ion dusty plasma which contains negative ions, positive ions and electrons, are studied in this paper. A Burgers equation and its stationary solutions are obtained by using the reductive perturbation method. The analytical and numerical results show that the height with polynomial dust size distribution is larger than that of the monosized dusty plasmas with the same dust grains, but the thickness in the case of different dust grains is smaller than that of the monosized dusty plasmas. Furthermore, the moving speed of the shock waves also depend on different dust size distributions.

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Acknowledgements

This work was supported by the Scientific Research Fund of the Sichuan Provincial Education Department (Grant No. 16ZA0262) and the Scientific Research Fund of Sichuan University of Science and Engineering (Grant No. 2014PY07).

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Authors and Affiliations

  1. School of Science, Sichuan University of Science and Engineering, Zigong, 643000, China

    HONGYAN WANG & KAIBIAO ZHANG

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  1. HONGYAN WANG
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  2. KAIBIAO ZHANG
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Correspondence to HONGYAN WANG.

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WANG, H., ZHANG, K. Effect of dust size distribution and dust charge fluctuation on dust ion-acoustic shock waves in a multi-ion dusty plasma. Pramana - J Phys 87, 11 (2016). https://doi.org/10.1007/s12043-016-1206-x

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  • DOI: https://doi.org/10.1007/s12043-016-1206-x

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