Nonplanar Geometry Dust – Ion Acoustic Shocks in an Adiabatic Dusty Plasma with Nonthermal Electrons

Louis E. Akpabio; Akaninyene D. Antia

doi:doi:10.11648/j.ijass.20150304.11

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Nonplanar Geometry Dust – Ion Acoustic Shocks in an Adiabatic Dusty Plasma with Nonthermal Electrons

Louis E. Akpabio, Akaninyene D. Antia

Published in International Journal of Astrophysics and Space Science (Volume 3, Issue 4)

Received: 24 February 2015 Accepted: 10 April 2015 Published: 25 June 2015

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Abstract

An unmagnetized dusty plasma consisting of static negatively charged dust fluid, nonthermal distributed electrons, and adiabatic ion fluid has been considered. Basic properties of the dust-ion-acoustic shock waves have been made by the reductive perturbation method to derive the Burgers’ equation for nonplanar geometry. The solution of modified Burgers’ equation in nonplanar geometry is numerically analyzed and it has been found that, the nonplanar geometry effects have a very vital role in the development of shock waves. We also discovered that; the inclusion of the nonthermal electron distribution significantly modifies the shock wave profile. The change of the DIASW structure due to the effect of ion temperature and dust density is studied.

Published in	International Journal of Astrophysics and Space Science (Volume 3, Issue 4)
DOI	10.11648/j.ijass.20150304.11
Page(s)	55-59
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Nonplaner Geometry, Dust –Ion Acoustic Shocks, Adiabatic Dusty Plasma, Non-Thermal Electron

References

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APA Style

Louis E. Akpabio, Akaninyene D. Antia. (2015). Nonplanar Geometry Dust – Ion Acoustic Shocks in an Adiabatic Dusty Plasma with Nonthermal Electrons. International Journal of Astrophysics and Space Science, 3(4), 55-59. https://doi.org/10.11648/j.ijass.20150304.11

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ACS Style

Louis E. Akpabio; Akaninyene D. Antia. Nonplanar Geometry Dust – Ion Acoustic Shocks in an Adiabatic Dusty Plasma with Nonthermal Electrons. Int. J. Astrophys. Space Sci. 2015, 3(4), 55-59. doi: 10.11648/j.ijass.20150304.11

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AMA Style

Louis E. Akpabio, Akaninyene D. Antia. Nonplanar Geometry Dust – Ion Acoustic Shocks in an Adiabatic Dusty Plasma with Nonthermal Electrons. Int J Astrophys Space Sci. 2015;3(4):55-59. doi: 10.11648/j.ijass.20150304.11

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@article{10.11648/j.ijass.20150304.11,
  author = {Louis E. Akpabio and Akaninyene D. Antia},
  title = {Nonplanar Geometry Dust – Ion Acoustic Shocks in an Adiabatic Dusty Plasma with Nonthermal Electrons},
  journal = {International Journal of Astrophysics and Space Science},
  volume = {3},
  number = {4},
  pages = {55-59},
  doi = {10.11648/j.ijass.20150304.11},
  url = {https://doi.org/10.11648/j.ijass.20150304.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijass.20150304.11},
  abstract = {An unmagnetized dusty plasma consisting of static negatively charged dust fluid, nonthermal distributed electrons, and adiabatic ion fluid has been considered. Basic properties of the dust-ion-acoustic shock waves have been made by the reductive perturbation method to derive the Burgers’ equation for nonplanar geometry. The solution of modified Burgers’ equation in nonplanar geometry is numerically analyzed and it has been found that, the nonplanar geometry effects have a very vital role in the development of shock waves. We also discovered that; the inclusion of the nonthermal electron distribution significantly modifies the shock wave profile. The change of the DIASW structure due to the effect of ion temperature and dust density is studied.},
 year = {2015}
}

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TY  - JOUR
T1  - Nonplanar Geometry Dust – Ion Acoustic Shocks in an Adiabatic Dusty Plasma with Nonthermal Electrons
AU  - Louis E. Akpabio
AU  - Akaninyene D. Antia
Y1  - 2015/06/25
PY  - 2015
N1  - https://doi.org/10.11648/j.ijass.20150304.11
DO  - 10.11648/j.ijass.20150304.11
T2  - International Journal of Astrophysics and Space Science
JF  - International Journal of Astrophysics and Space Science
JO  - International Journal of Astrophysics and Space Science
SP  - 55
EP  - 59
PB  - Science Publishing Group
SN  - 2376-7022
UR  - https://doi.org/10.11648/j.ijass.20150304.11
AB  - An unmagnetized dusty plasma consisting of static negatively charged dust fluid, nonthermal distributed electrons, and adiabatic ion fluid has been considered. Basic properties of the dust-ion-acoustic shock waves have been made by the reductive perturbation method to derive the Burgers’ equation for nonplanar geometry. The solution of modified Burgers’ equation in nonplanar geometry is numerically analyzed and it has been found that, the nonplanar geometry effects have a very vital role in the development of shock waves. We also discovered that; the inclusion of the nonthermal electron distribution significantly modifies the shock wave profile. The change of the DIASW structure due to the effect of ion temperature and dust density is studied.
VL  - 3
IS  - 4
ER  -

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Author Information

Louis E. Akpabio

Theoretical physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
Akaninyene D. Antia

Theoretical physics Group, Department of Physics, University of Uyo, Uyo, Nigeria

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APA Style

Louis E. Akpabio, Akaninyene D. Antia. (2015). Nonplanar Geometry Dust – Ion Acoustic Shocks in an Adiabatic Dusty Plasma with Nonthermal Electrons. International Journal of Astrophysics and Space Science, 3(4), 55-59. https://doi.org/10.11648/j.ijass.20150304.11

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ACS Style

Louis E. Akpabio; Akaninyene D. Antia. Nonplanar Geometry Dust – Ion Acoustic Shocks in an Adiabatic Dusty Plasma with Nonthermal Electrons. Int. J. Astrophys. Space Sci. 2015, 3(4), 55-59. doi: 10.11648/j.ijass.20150304.11

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AMA Style

Louis E. Akpabio, Akaninyene D. Antia. Nonplanar Geometry Dust – Ion Acoustic Shocks in an Adiabatic Dusty Plasma with Nonthermal Electrons. Int J Astrophys Space Sci. 2015;3(4):55-59. doi: 10.11648/j.ijass.20150304.11

Copy | Download

@article{10.11648/j.ijass.20150304.11,
  author = {Louis E. Akpabio and Akaninyene D. Antia},
  title = {Nonplanar Geometry Dust – Ion Acoustic Shocks in an Adiabatic Dusty Plasma with Nonthermal Electrons},
  journal = {International Journal of Astrophysics and Space Science},
  volume = {3},
  number = {4},
  pages = {55-59},
  doi = {10.11648/j.ijass.20150304.11},
  url = {https://doi.org/10.11648/j.ijass.20150304.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijass.20150304.11},
  abstract = {An unmagnetized dusty plasma consisting of static negatively charged dust fluid, nonthermal distributed electrons, and adiabatic ion fluid has been considered. Basic properties of the dust-ion-acoustic shock waves have been made by the reductive perturbation method to derive the Burgers’ equation for nonplanar geometry. The solution of modified Burgers’ equation in nonplanar geometry is numerically analyzed and it has been found that, the nonplanar geometry effects have a very vital role in the development of shock waves. We also discovered that; the inclusion of the nonthermal electron distribution significantly modifies the shock wave profile. The change of the DIASW structure due to the effect of ion temperature and dust density is studied.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Nonplanar Geometry Dust – Ion Acoustic Shocks in an Adiabatic Dusty Plasma with Nonthermal Electrons
AU  - Louis E. Akpabio
AU  - Akaninyene D. Antia
Y1  - 2015/06/25
PY  - 2015
N1  - https://doi.org/10.11648/j.ijass.20150304.11
DO  - 10.11648/j.ijass.20150304.11
T2  - International Journal of Astrophysics and Space Science
JF  - International Journal of Astrophysics and Space Science
JO  - International Journal of Astrophysics and Space Science
SP  - 55
EP  - 59
PB  - Science Publishing Group
SN  - 2376-7022
UR  - https://doi.org/10.11648/j.ijass.20150304.11
AB  - An unmagnetized dusty plasma consisting of static negatively charged dust fluid, nonthermal distributed electrons, and adiabatic ion fluid has been considered. Basic properties of the dust-ion-acoustic shock waves have been made by the reductive perturbation method to derive the Burgers’ equation for nonplanar geometry. The solution of modified Burgers’ equation in nonplanar geometry is numerically analyzed and it has been found that, the nonplanar geometry effects have a very vital role in the development of shock waves. We also discovered that; the inclusion of the nonthermal electron distribution significantly modifies the shock wave profile. The change of the DIASW structure due to the effect of ion temperature and dust density is studied.
VL  - 3
IS  - 4
ER  -

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