Specifications of dust-ion-acoustic shock waves affected by dust charge variation in four-component dissipative quantum plasma

• Published in: Radiation effects and defects in solids 2019-04, Vol.174 (3-4), p.349-364
• Main Authors: Pishbin, Noushin, Rouhani, Mahmoud Reza, Alinejad, Naser
• Format: Article
• Language: English
• Subjects: Acoustic propagation; Acoustics; Burgers equation; Charging; Chemical potential; Distribution functions; Dust; dust charge variation; Electronic devices; fermi-distribution function; Kortoweg-de Vries-Burgers equation; Organic chemistry; Perturbation methods; Plasma; Positrons; Quantum dust-ion-acoustic shock waves; Shock wave propagation; Shock waves; Viscosity
• ISSN: 1042-0150; 1029-4953
• DOI: 10.1080/10420150.2019.1596103

Nonlinear propagation of dust-ion-acoustic shock waves in an unmagnetized, collisionless four-component quantum plasma containing electrons, positrons, ions and negatively charged dust grains affected by dust charge variations and viscosity of ions is studied using quantum hydrodynamic model. Considering dust charge variation give rise to calculating of charging currents of the plasma particles. These currents have been calculated with orbit limited motion theory and using Fermi-distribution functions or Boltzmann-Maxwell distribution depending on quantum or classical particles, respectively. The basic characteristics of quantum dust-ion-acoustic shock waves are investigated by deriving Korteweg-de Vries-Burgers equation under the reductive perturbation method. Depending on the relative values of the dispersive and dissipative coefficients, oscillatory and monotonic shock waves can propagate in the plasma model. The effect of chemical potential and density of dust particles on the shock wave's height and thickness is investigated. In addition, the critical value of H (H c ) is calculated and it is shown that for R > 0 compressive shock waves and for R