Abstract
The behavior of quantum dust ion-acoustic (QDIA) shocks in a plasma including inertialess quantum electrons and positrons, classical cold ions and stationary negative dust grains are studied, using a quantum hydrodynamic model (QHD). The effect of dissipation due to the viscosity of ions is taken into account. The propagation of small but finite amplitude QDIA shocks is governed by the Kortoweg-de Vries-Burgers (KdVB) equation. The existence regions of oscillatory and monotonic shocks will depend on the quantum diffraction parameter (H) and dust density (d) as well as dissipation parameter (η 0). The effect of plasma parameters (d,H,η 0), on these structures is investigated. Results indicate that the thickness and height of monotonic shocks; oscillation amplitude of the oscillatory shock wave and it’s wavelength effectively are affected by these parameters. Additionally, the possibility of propagation of both compressive and rarefactive shocks is investigated. It is found that depending on some critical value of dust density (d c ), which is a function of H, compressive and rarefactive shock waves can’t propagate in model plasma. The present theory is applicable to analyze the formation of nonlinear structures at quantum scales in dense astrophysical objects.
Similar content being viewed by others
References
Burns, M.L., Lovelace, R.V.E.: Astrophys. J. 262, 87 (1982)
Chabrier, G., Douchin, F., Potekhin, A.Y.: J. Phys. Condens. Matter 14, 9133 (2002)
Das, G., Sarma, J.: Phys. Plasmas 6, 4394 (1999)
Fletcher, R.S., Zhang, X.L., Rolston, S.L.: Phys. Rev. Lett. 96, 105003 (2006)
Fletcher, R.S., Zhang, X.L., Rolston, S.L.: Phys. Rev. Lett. 96, 105003 (2006)
Glenzer, S.H., Landen, O.L., Neumayer, P., Lee, R.W., Widmann, K., Pollaine, S.W., Wallace, R.J., Gregori, G., Höll, A., Bornath, T., Thiele, R., Schwarz, V., Kraeft, W.D., Redmer, R.: Phys. Rev. Lett. 98, 06500 (2007)
Golderich, P., Julian, W.H.: Astrophys. J. 157, 869 (1969)
Haas, F., et al.: Phys. Plasmas 10, 3858 (2003)
Jung, Y.D.: Phys. Plasmas 8, 3842 (2001)
Khan, S.A., Haque, Q.: Chin. Phys. Lett. 25(12), 4329 (2008)
Khan, S.A., Mushtaq, A.: Phys. Plasmas 14, 083703 (2007)
Khan, S.A., et al.: Phys. Lett. A 372, 148 (2008)
Kourakis, I., Sultana, S., Verheest, F.: Astrophys. Space Sci. 338, 245–249 (2012)
Lightman, A.P.: Astrophys. J. 253, 842 (1982)
Manfredi, G., Hervieux, P.A.: Appl. Phys. Lett. 91, 061108 (2007)
Marklund, M., Shukla, P.K.: Rev. Mod. Phys. 78, 591 (2006)
Marklund, M., Brodin, G., Stenflo, L., Liu, C.S.: Phys. Rev. Lett. 99, 085501 (2007)
Mendis, D.A.: Plasma Sources Sci. Technol. 11, A219 (2002)
Miller, H.R., Witta, P.J.: Active Galactic Nuclei. Springer, Berlin (1987). 202 p.
Misner, W., Thorne, K.S., Wheeler, J.A.: Gravitation. Freeman, San Francisco (1973). 763 p.
Moslem, W.: Phys. Lett. A 351, 290 (2006)
Opher, M., Silva, L.O., Dauger, D.E., Decyk, V.K., Dawson, J.M.: Phys. Plasmas 8, 2454 (2001)
Pakzad, H.R.: Can. J. Phys. 89, 961–965 (2011)
Rees, M.J.: In: Gibbons, G.W., Hawking, S.W., Siklas, S. (eds.) The Early Universe. Cambridge University Press, Cambridge (1983)
Robinson, M.P., Laburthe Tolra, B., Noel, M.W., Gallagher, T.F., Pillet, P.: Phys. Rev. Lett. 85, 4466 (2000)
Roychoudhury, R., Das, G.C., Sarma, J.: Phys. Plasmas 6, 2721 (1999)
Shapiro, S.L., Teukolsky, S.A.: Black Holes, White Dwarfs and Neutron Stars. Wiley, New York (1983)
Shukla, P.K., Rao, N.N., Yu, M.Y., Tsintsadze, N.L.: Phys. Rep. 138, 1 (1986)
Sturrock, P.A.: Astrophys. J. 164, 529 (1971)
Tian, B., Gao, Y.T.: Phys. Lett. A 340, 449 (2005)
Washimi, H., Taniuti, T.: Phys. Rev. Lett. 17, 996 (1966)
Acknowledgements
This research is financially supported by Alzahra University.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Rouhani, M.R., Mohammadi, Z. & Akbarian, A. Characteristic of ion acoustic shock waves in a dissipative quantum pair plasma with dust particulates. Astrophys Space Sci 349, 265–271 (2014). https://doi.org/10.1007/s10509-013-1640-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-013-1640-x