Skip to main content
SpringerLink
Log in

The Effects of the Dust Size Distribution and the Dust Charging on Shock Waves in Dusty Plasma

  • General and Applied Physics
  • Published:
Brazilian Journal of Physics Aims and scope Submit manuscript

Abstract

By using the reductive perturbation method, the existence of dust acoustic shock waves is given for a dusty plasma considering the dust size distribution. The effects of both the dust size distribution and the dust charge variation on the characteristics of the shock wave are discussed. It is shown that the amplitude of a shock wave in plasmas considering a dust size distribution is larger than that in the case of a mono-sized dusty plasma, while its width considering the dust size distribution is smaller than that of the mono-sized dusty plasma. The speed of the shock waves also depends on different dust size distributions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. M. Horanyi, D. A. Mendis, Astrophys. J. 294, 357 (1985)

  2. D.A. Mendis, M. Rosenberg, Annu. Rev. Astron. Astrophys. 32, 419 (1994)

    Article  ADS  Google Scholar 

  3. N.N. Rao, P.K. Shukla, M.Y. Yu, Planet. Space Sci. 38, 543 (1990)

    Article  ADS  Google Scholar 

  4. G. Praburam, J. Goree, Phys. Plasmas 3(4), 1212 (1996)

    Article  ADS  Google Scholar 

  5. W.S. Duan, G.X. Wan, X.Y. Wang, M.M. Lin, Phys. Plasmas 11, 4408 (2004)

    Article  ADS  Google Scholar 

  6. P.K. Shukla, B. Eliasson, Phys. Rev. E 86, 046402–1 (2012)

    Article  ADS  Google Scholar 

  7. S. Ghosh, M.R. Gupta, N. Chakrabarti, M. Chaudhuri, Phys. Rev. E 83, 066406–1 (2011)

    Article  ADS  Google Scholar 

  8. S.A. Ema, M. Ferdousi, S. Sultana, A.A. Mamun, Eur. Phys. J. Plus 130, 46 (2015). https://doi.org/10.1140/epjp/i2015-15046-0

    Article  Google Scholar 

  9. O. Havnes, F. Melandsca, C. La Hoz, T.K. Aslaksen, Phys. Scr. 45, 535 (1992)

    Article  ADS  Google Scholar 

  10. U.D. Angelis, V. Formisano, M. Giordano, J. Plasma Phys. 40, 399 (1988)

    Article  ADS  Google Scholar 

  11. P.K. Shukla, V.P. Silin, Phys. Scr. 45, 508 (1992)

    Article  ADS  Google Scholar 

  12. M.A. Hossen, M.M. Rahman, M.R. Hossen, A.A. Mamun, Braz. J. Phys. 45, 1 (2015)

    Article  Google Scholar 

  13. J. Morfill, A.V. Ivlev, J.R. Jokipii, Phys. Rev. Lett. 83, 971 (1999)

    Article  ADS  Google Scholar 

  14. A. Murad, U. Zakir, Q. Haque, Braz. J. Phys. 49, 79 (2019)

    Article  ADS  Google Scholar 

  15. A. Barkan, N. D’angelo, L. R. Merlino. Planet. Space Sci. 44, 239 (1996)

  16. N. D’Angelo, B. Song, Planet. Space Sci. 38, 1577 (1990)

    Article  ADS  Google Scholar 

  17. R.K. Shikha, N.A. Chowdhury, A. Mannan, A.A. Mamun, Contrib. Plasma Phys. 73, 177 (2020)

    Google Scholar 

  18. S. Paul, R. Denra, S. Sarkar, Eur. Phys. J. D 74, 131 (2020)

    Article  ADS  Google Scholar 

  19. J.N. Han, J.X. Li, Y.L. He, Z.H. Han, G.X. Dong, Phys. Plasmas 20, 072109–1 (2013)

    Article  ADS  Google Scholar 

  20. A. Melzer, S. Nunomura, D. Samsonov, Z.W. Ma, J. Goree, Phys. Rev. E 62, 4162 (2000)

    Article  ADS  Google Scholar 

  21. S. Nunomura, J. Goree, S. Hu, X. Wang, A. Bhattacharjee, Phys. Rev. E 65, 066402–1 (2002)

    Article  ADS  Google Scholar 

  22. K. Avinash, P. Zhu, V. Nosenko, J. Goree, Phys. Rev. E 68, 046402–1 (2003)

    Article  ADS  Google Scholar 

  23. X. Wang, A. Bhattacharjee, S. Hu, Phys. Rev. Lett. 86, 2569 (2001)

    Article  ADS  Google Scholar 

  24. H. Zhang, Y. Yang, X.R. Hong, X. Qi, W.S. Duan, L. Yang, Phys. Rev. E 95, 053207–1 (2017)

    Article  ADS  Google Scholar 

  25. W.H. Liu, Y.F. Zhang, H.Y. Zhang, Eur. Phys. J. Plus 135, 151 (2020). https://doi.org/10.1140/epjp/s13360-020-00159-4

    Article  Google Scholar 

  26. S.A. Belov, N.E. Molevich, D.I. Zavershinskii, Tech. Phys. Lett. 44, 199 (2018)

    Article  ADS  Google Scholar 

  27. W. Lin, M.S. Murillo, Y. Feng, Phys. Rev. E 100, 043203–1 (2019)

    Article  ADS  Google Scholar 

  28. M. Marciante, M.S. Murillo, Phys. Rev. Lett. 118, 025001–1 (2017)

    Article  ADS  Google Scholar 

  29. M.M. Majid Khan, Abbasi, Ali Ahmad, and W. Masood, AIP Adv. 9, 025034–1 (2019)

    Google Scholar 

  30. Z. Ehsan, M. M. Abbasi, S. Ghosh, M. Khan, M. Ali, Contrib. Plasma Phys. e202000030 (2020). https://doi.org/10.1002/ctpp.202000030

  31. C.P. Nelson, Urol. Res. 38, 327 (2010)

    Article  Google Scholar 

  32. H.J. Wang, J.H. Cheng, Y.C. Chuang, Int. J. Urol. 24, 573 (2017). https://doi.org/10.1111/iju.13403

  33. A. Demir, P. Trker, S.U. Bozkurt, Cent. Eur. J. Urol. 68, 72 (2015)

    Google Scholar 

  34. M. Delius, G. Enders, Z. Xuan, H.G. Liebich, W. Brendel, Ultrasound Med. Biol. 14, 117 (1988)

    Article  Google Scholar 

  35. L. Lu, B. Gopalan, S. Benyahia, Ind. Eng. Chem. Res. (2017). https://doi.org/10.1021/acs.iecr.7b01862

  36. T. Liang, Y. Yang, Y.R. Shi, J.F. Han, W.S. Duan, X. Jiang, Eur. Phys. J. E. 41, 96–1 (2018)

    Article  ADS  Google Scholar 

  37. P.I. Richards, Oper. Res. 4, 42 (1956)

    Article  Google Scholar 

  38. M.S. Wei et al., Phys. Rev. Lett. 93, 155003–1 (2004)

    Article  ADS  Google Scholar 

  39. F. Fiuza, A. Stockem, E. Boella, R.A. Fonseca, L.O. Silva, D. Haberberger, S. Tochitsky, C. Gong, W.B. Mori, C. Joshi, Phys. Rev. Lett. 109, 215001–1 (2012)

    Article  ADS  Google Scholar 

  40. K. Kusano, J. Plasma Fusion. Res. 79, 496 (2003)

    Article  ADS  Google Scholar 

  41. R. Prang, L. Pallier, K.C. Hansen, R. Howard, A. Vourlidas, R. Courtin, C. Parkinson, Nature (London). 432, 78 (2004)

    Article  ADS  Google Scholar 

  42. V.N. Goncharov, O.V. Gotchev, E. Vianello, T.R. Boehly, J.P. Knauer, Phys. Plasmas 13, 012702–1 (2006)

    Article  ADS  Google Scholar 

  43. R. Betti, C.D. Zhou, K.S. Anderson, L.J. Perkins, W. Theobald, A.A. Solodov, Phys. Rev. Lett. 98, 155001–1 (2007)

    Article  ADS  Google Scholar 

  44. L.J. Perkins, R. Betti, K.N. LaFortune, W.H. Williams, Phys. Rev. Lett. 103, 045004–1 (2009)

    Article  ADS  Google Scholar 

  45. M. Temporal, B. Canaud, W.J. Garbett, R. Ramis, Phys. Plasmas 21, 012710–1 (2014)

    Article  ADS  Google Scholar 

  46. F. Melandso, T. Aslaksen, O. Havnes, Planet. Space Sci. 41, 321 (1993)

    Article  ADS  Google Scholar 

  47. A.A. Mamun, K.S. Ashrafi, P.K. Shukla, Phys. Rev. E. 82, 026405–1 (2010)

    Article  ADS  Google Scholar 

  48. N.N. Rao, P.K. Shukla, Planet. Space Sci. 42, 221 (1994)

    Article  ADS  Google Scholar 

  49. S. Ghosh, T.K. Chaudhuri, S. Sarkar, M. Khan, M.R. Gupta, Phys. Rev. E 65, 037401–1 (2002)

    Article  ADS  Google Scholar 

  50. S. Ghosh, New J. Physics 5, 142.1 (2003)

  51. S. Ghosh, R. Bharuthram, M. Khan, M.R. Gupta, Phys. Plasmas 13, 112305–1 (2006)

    Article  ADS  Google Scholar 

  52. H. Asgari, S.V. Muniandy, C.S. Wong, Phys. Plasmas 16, 073702–1 (2009)

    Article  ADS  Google Scholar 

  53. J.F. Zhang, Y.Y. Wang, Phys. Plasmas 13, 022304–1 (2006). https://doi.org/10.1063/1.2167916

    Article  ADS  Google Scholar 

  54. R. Lundin, A. Zakharov, R. Pellinen, H. Borg, B. Hultqvist, N. Pissarenko, E.M. Dubinbin, S.W. Barabash, I. Liede, H. Koskinen, Nature 341, 609 (1989)

    Article  ADS  Google Scholar 

  55. L.L. Tao, W.S. Duan, Chinese. J. Phys. 68, 950 (2020)

    Google Scholar 

  56. C.B. Dwivedi, B.P. Pandey, Phys. Plasmas 2, 4134 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  57. G.C. Das, C.B. Dwivedi, Phys. Plasmas 4, 4236 (1997)

  58. S.K. Paul, G. Mandal, A.A. Mamun, M.R. Amin, IEEE T. Plasma Sci. 37, 627 (2009)

    Article  ADS  Google Scholar 

  59. S. Mehran, B. Farokhi, H. Ashouri, Commun. Theor. Phys. 37, 367 (2015)

    Article  Google Scholar 

  60. A.N. Dev, J. Sarma, M.K. Deka, Can. J. Phys. 93, 1 (2015)

    Google Scholar 

  61. A.A. Mamun, R.A. Cairns, Phys. Rev. E 79, 055401–1 (2009)

    Article  ADS  Google Scholar 

  62. B. Sahu, A. Sinha, R. Roychoudhury, Phys. Plasmas 22, 092306–1 (2015)

    Article  ADS  Google Scholar 

  63. H. Alinejad, M. Shahmansory, Plasma Phys. 19, 083705–1 (2012)

    Article  Google Scholar 

  64. M. Kamran, Fazal Sattar, Majid Khan, R. Khan, M. Ikram, Results Phys. 21, 103808 (2020)

  65. V.E. Fortov, A.P. Nefedov, V.I. Molotkov, M.Y. Poustylnik, V.M. Torchinsky, Phys. Rev. Lett. 87, 205002–1 (2001)

    Article  ADS  Google Scholar 

  66. S.K. El-Labany, N.M. El-Siragy, W.F. El-Taibany, E.E. Behery, Phys. Plasmas 16, 093701–1 (2009)

    Article  ADS  Google Scholar 

  67. W.S. Duan, J. Parkes, L. Zhang, Phys. Plasmas 11, 3762 (2004)

    Article  ADS  Google Scholar 

  68. A. Barkan, R. L. Merlino, N. DAngelo, Phys. Plasmas 2, 3563 (1995)

  69. X. Yang, Y. Xu, X. Qi, Phys. Plasmas 20, 053703–1 (2013)

    Article  ADS  Google Scholar 

  70. G.J. He, W.S. Duan, D.X. Tian, Phys. Plasmas 15, 043702–1 (2008)

    Article  ADS  Google Scholar 

  71. Z.M. Liu, W.S. Duan, G.J. He, Phys. Plasmas 15, 494–1 (2008)

    Google Scholar 

  72. B. Zaham, A. Tahraoui, D. Benlemdjaldi, Phys. Plasmas 21, 123702–1 (2014)

    Article  ADS  Google Scholar 

  73. A. Brattli, Q. Havens, F. Melandso, J. Plasma Phys. 58, 691 (1997)

    Article  ADS  Google Scholar 

  74. W.S. Duan, Y.R. Shi, Chaos Solitons Fractals 18, 321 (2003)

    Article  ADS  Google Scholar 

Download references

Funding

This work was supported by the National Natural Science Foundation of China (Grants No. 420655005, 11965019).

Author information

Authors and Affiliations

  1. College of Physics and Electronic Engineering, Northwest Normal University, 967 Anning East Road, 730070, Lanzhou, China

    Xue-Qiang Gou, Ke-Hui An & Wen-Shan Duan

Authors
  1. Xue-Qiang Gou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ke-Hui An
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Wen-Shan Duan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Wen-Shan Duan.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gou, XQ., An, KH. & Duan, WS. The Effects of the Dust Size Distribution and the Dust Charging on Shock Waves in Dusty Plasma. Braz J Phys 51, 1346–1354 (2021). https://doi.org/10.1007/s13538-021-00950-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13538-021-00950-3

Keywords

Search

Navigation