Implosion and explosion of electrostatic cylindrical and spherical shocks in asymmetric pair-ion plasmas

Masood, W.; Rizvi, H.
April 2011
Physics of Plasmas;Apr2011, Vol. 18 Issue 4, p042302
Academic Journal
Nonlinear electrostatic shock waves are studied in unmagnetized, dissipative pair-ion plasmas. The dissipation in the system is taken into account by considering the effect of kinematic viscosity of both positive and negative ions in plasmas. The system of fluid equations for asymmetric pair-ion plasma is reduced to Korteweg-deVries-Burgers equation in the limit of small amplitude perturbation. It is observed that the system under consideration admits rarefactive shocks. Keeping in view the practical applications, the nonlinear propagation of both the exploding and imploding shocks is investigated and the differences are expounded in detail. The present study may have relevance in the study of the formation of electrostatic shocks in laser-induced implosion devices, star formation, supernovae explosion, etc.


Related Articles

  • Ion acoustic shock waves in degenerate plasmas. Akhtar, N.; Hussain, S. // Physics of Plasmas;Jul2011, Vol. 18 Issue 7, p072103 

    Korteweg de Vries Burgers equation for negative ion degenerate dissipative plasma has been derived using reductive perturbation technique. The quantum hydrodynamic model is used to study the quantum ion acoustic shock waves. The effects of different parameters on quantum ion acoustic shock waves...

  • Two dimensional nonplanar evolution of electrostatic shock waves in pair-ion plasmas. Masood, W.; Rizvi, H. // Physics of Plasmas;Jan2012, Vol. 19 Issue 1, p012119 

    Electrostatic waves in a two dimensional nonplanar geometry are studied in an unmagnetized, dissipative pair-ion plasma in the presence of weak transverse perturbations. The dissipation in the system is taken into account by incorporating the kinematic viscosity of both positive and negative...

  • Formation of obliquely propagating dust-ion-acoustic shock waves due to dust charge fluctuation in magnetized nonthermal dusty plasma. Shahmansouri, M.; Mamun, A. // Astrophysics & Space Science;Apr2014, Vol. 350 Issue 2, p531 

    A theoretical investigation is made on the formation as well as basic properties of dust-ion-acoustic (DIA) shock waves in a magnetized nonthermal dusty plasma consisting of immobile charge fluctuating dust, inertial ion fluid and nonthermal electrons. The reductive perturbation method is...

  • Oblique propagation of nonlinear electrostatic waves in dense astrophysical magnetoplasmas. Masood, W.; Rizvi, H.; Siddiq, M. // Physics of Plasmas;Oct2011, Vol. 18 Issue 10, p102316 

    Nonlinear quantum ion-acoustic waves in dense dissipative as well as non-dissipative magnetized plasmas are investigated employing the quantum hydrodynamic model. In this regard, Zakharov Kuznetsov Burgers equation is derived in quantum plasmas, for the first time, using the small amplitude...

  • Short scale electrostatic vortices driven by electrons sheared flow parallel to external magnetic field in heavier ion plasmas. Ahmad, Ali; Saleem, H. // Physics of Plasmas;Apr2012, Vol. 19 Issue 4, p042107 

    Nonlinear equations for an electrostatic perturbation in hybrid frequency range are derived in a magnetized heavier ion plasma assuming that the electrons are flowing with a sheared velocity along the initial external constant magnetic field B0zz⁁. As a result of this current, the total...

  • Spherical and cylindrical imploding and exploding shock waves in plasma system dominated by pair production. ul Haq, Muhammad Noaman; Saeed, R.; Shah, Asif // Journal of Applied Physics;Sep2010, Vol. 108 Issue 4, p043301 

    The propagation of ion acoustic shock waves in cylindrical and spherical geometries has been investigated. The plasma system consists of cold ions, Boltzmannian electrons and positrons. Spherical, cylindrical Korteweg–de Vries–Burger equations have been derived by reductive...

  • Nonplanar Shock Waves in Dusty Plasmas. Mamun, A. A.; Shukla, P. K. // AIP Conference Proceedings;11/28/2011, Vol. 1397 Issue 1, p30 

    Nonplanar (viz. cylindrical and spherical) electro-acoustic [dust-ion-acoustic (DIA) and dust-acoustic (DA)] shock waves have been investigated by employing the reductive perturbation method. The dust charge fluctuation (strong correlation among highly charged dust) is the source of dissipation,...

  • Ion acoustic shock waves in a collisional dusty plasma. Ghosh, Samiran; Sarkar, Susmita; Khan, Manoranjan; Gupta, M. R. // Physics of Plasmas;Jan2002, Vol. 9 Issue 1, p378 

    The effect of ion–dust collisions on small amplitude nonlinear dust ion acoustic waves has been investigated. Analytical investigation shows that propagation of the small amplitude wave is governed by Korteweg–de Vries (KdV) Burger equation. It is found that the coefficient of the...

  • Algebraic perturbation theory for dipolar fluid mixtures in a weak external field: Application for isomerization equilibria. Kronome, Gergely; Szalai, Istva´n; Liszi, Ja´nos // Journal of Chemical Physics;2/1/2002, Vol. 116 Issue 5, p2067 

    We study the effect of the external electrostatic field on dipolar fluid mixtures by extending the algebraic perturbation theory of Kalikmanov [Phys. Rev. E 59, 4085 (1999), valid for one-component dipolar fluids] to the multicomponent case. Our reference system is a dipolar hard sphere mixture,...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics