Effects of Relativity on Dust Ion Acoustic Shock Waves Containing Degenerate Electron-positron-ion Dense Plasma

The nonlinear propagation of dust ion acoustic (DIA) waves in an unmagnetized collisionless degenerate dense plasma (containing degenerate electron, positron, and ion fluids) have been theoretically investigated. The Burgers’ equation has been derived by employing the reductive perturbation method taking the effect of viscous force of the ion fluid into account. The stationary shock wave solution of Burgers’ equation is obtained, and numerically analyzed in order to identify the basic properties of dust ion acoustic shock structures. It has been shown that the degenerate plasma under consideration supports compressive or rarefactive shock structures depending on some plasma parametric values. It has been also found that the effects of degenerate pressures of electrons, positrons, and ions significantly modify the basic features of the shock waves that are found to exist in such a degenerate plasma. The relevance of our results in astrophysical objects like white dwarfs and neutron stars, which are of scientific interest, is briefly discussed.