On the formation and propagation of dust acoustic shock waves in a magnetic quantum dusty plasma

Effects of Fermi–Dirac distributed electrons and positrons on the generation and propagation of dust acoustic shock wave (DASHW) in dense quantum magnetized dusty plasma are investigated. Plasma constituents are electrons, and positrons follow Dirac's Fermi distribution and are governed by hydrodynamic quantum equations, while ions are Maxwellian. Properties of small-amplitude DASHWs were investigated by analysing the solution of Korteweg–de Vries-Berger's equation, which is derived using the reductive perturbation method. Results show that quantum plasma proposes an important parameter, i.e., Fermi temperature, on which DASHW amplitude and width are dependent significantly. Increasing the number density of electrons leads to increasing the DASHW energy while increasing the number density of positrons turns them down. This study can give us an improved view of physical phenomena such as electron gas in metals and the electron–hole plasma in semiconductors, as well as neutron stars and white dwarfs.