Linear and nonlinear quantum dust ion acoustic wave with dust size distribution effect

El-Labany, S. K.; El-Siragy, N. M.; El-Taibany, W. F.; El-Shamy, E. F.; Behery, E. E.
May 2010
Physics of Plasmas;May2010, Vol. 17 Issue 5, p053705
Academic Journal
Both linear and nonlinear quantum dust ion acoustic waves (QDIAWs) are analyzed using two fluid quantum hydrodynamics model including the dust size distribution (DSD) effect. Two different DSD functions are applied (the power law DSD and the polynomial DSD). A new dispersion relation is derived. Using the reductive perturbation technique, a quantum Zakharov–Kuzentsov equation is evaluated for the QDIAW description. The relevance of the wave velocity, amplitude, and width to the DSD and quantum effects is illustrated both analytically and numerically. Moreover, it is found that both linear and nonlinear wave properties are affected by increasing the matter density; the more dense the material the less the wave frequency. The accuracy of controlling coefficients presented in the polynomial DSD is examined numerically for both linear and nonlinear QDIAWs. A brief conclusion is presented to the current findings and their relevance to astrophysics data is also discussed.


Related Articles

  • Dust shielding and correlation function for dusty plasmas. Xie, B.S.; He, K.F. // Physics of Plasmas;Aug99, Vol. 6 Issue 8, p2997 

    Investigates dust shielding and correlation function using a viscoelastic fluid theory that allows for internal energy relaxation. Corresponding dispersion relation for dust-acoustic waves; Calculation of the dust static structure factor using the fluctuation-dissipation theorem.

  • Planar and nonplanar quantum dust ion-acoustic Gardner double layers in multi-ion dusty plasma. Hasan, M.; Hossain, M.; Mamun, A. // Astrophysics & Space Science;May2013, Vol. 345 Issue 1, p113 

    Nonplanar (cylindrical and spherical) double layers (DLs) in a quantum dusty plasma (composed of inertial ions, Fermi electrons, and negatively charged immobile dust particles) are studied by employing the reductive perturbation method. The modified Gardner equation describing the nonlinear...

  • Obliquely propagating ion-acoustic double layers in magnetized electron-positron-ion plasma. Chawla, J.; Mishra, M. // Astrophysics & Space Science;Feb2013, Vol. 343 Issue 2, p629 

    Ion-acoustic double layers has been studied in magnetized electron-positron-ion plasma. The modified Korteweg-de Vries (m-KdV) is derived using reductive perturbation method. It is found that for the selected set of parameters, the system supports rarefactive (compressive) double layers...

  • The effects of image charge on waves in dusty plasma. Vranješ, J.; Poedts, S. // AIP Conference Proceedings;2004, Vol. 703 Issue 1, p96 

    A quantitative analysis of the image charge effects in dusty plasmas is presented. It is emphasized that the electrostatic interaction caused by the induced charge on grains can play an important role in dusty plasmas even in the case when in the equilibrium dust grains are not charged. As an...

  • Electrostatic electron acoustic solitons in electron-positron-ion plasma with superthermal electrons and positrons. Jilani, K.; Mirza, Arshad M.; Khan, Tufail A. // Astrophysics & Space Science;Jan2014, Vol. 349 Issue 1, p255 

    Properties of fully nonlinear electron-acoustic solitary waves in an unmagnetized and collisionless electron-positron-ion plasma containing cold dynamical electrons, superthermal electrons and positrons obeying Cairns’ distribution have been analyzed in the stationary background of...

  • Ion acoustic solitary waves and double layers with nonextensive electrons and thermal positrons. Sahu, Biswajit // Physics of Plasmas;Aug2011, Vol. 18 Issue 8, p082302 

    By using Sagdeev's pseudopotential technique, the problem of arbitrary amplitude ion acoustic solitary waves (IASWs) is discussed for a plasma comprising nonextensive electrons and thermal positrons. The standard normal-mode analysis is used to study the dispersion relation for linear waves. It...

  • Formation of dust ion-acoustic solitary waves in a dusty plasma with two-temperature trapped electrons. Alinejad, H. // Astrophysics & Space Science;Aug2011, Vol. 334 Issue 2, p325 

    Formation of large amplitude dust ion-acoustic (DIA) solitary waves are investigated in a multicomponent dusty plasma whose constituents are warm ions, two-temperature trapped electrons and negatively charged dust grains. The fluid dynamical system of equations governing the dynamics of DIA...

  • On the generation of envelope solitons in the presence of excess superthermal electrons and positrons. Sabry, R.; Moslem, W.; Shukla, P. // Astrophysics & Space Science;May2011, Vol. 333 Issue 1, p203 

    theoretical model is presented to investigate the existence, formation, and possible realization of nonlinear envelope ion acoustic solitary waves which accompany collisionless electron-positron-ion plasmas with high-energy electrons and positrons (represented by kappa distribution). By...

  • New exact solutions for nonlinear solitary waves in Thomas-Fermi plasmas with ( G′/ G)-expansion method. Mehdipoor, M.; Neirameh, A. // Astrophysics & Space Science;Jan2012, Vol. 337 Issue 1, p269 

    The nonlinear propagation of ion acoustic waves in an ideal plasmas containing degenerate electrons is investigated. The Korteweg-de-Vries (K-dV) equation is derived for ion acoustic waves by using reductive perturbation method. The analytical traveling wave solutions of the K-dV equation...


Read the Article


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

Try another library?
Sign out of this library

Other Topics