Multidimensional ion-acoustic solitary waves and shocks in quantum plasmas
arXiv:1411.5113 · doi:10.1016/j.physa.2014.11.045
Abstract
The nonlinear theory of two-dimensional ion-acoustic (IA) solitary waves and shocks (SWS) is revisited in a dissipative quantum plasma. The effects of dispersion, caused by the charge separation of electrons and ions and the quantum force associated with the Bohm potential for degenerate electrons, as well as, the dissipation due to the ion kinematic viscosity are considered. Using the reductive perturbation technique, a Kadomtsev-Petviashvili Burgers (KPB)-type equation, which governs the evolution of small-amplitude SWS in quantum plasmas, is derived, and its different solutions are obtained and analyzed. It is shown that the KPB equation can admit either compressive or rarefactive SWS according to when , or the particle number density satisfies cm, where is the ratio of the electron plasmon energy to the Fermi energy densities. Furthermore, the properties of large-amplitude stationary shocks are studied numerically in the case when the wave dispersion due to charge separation is negligible. It is also shown that a transition from monotonic to oscillatory shocks occurs by the effects of the quantum parameter .
arXiv comment9 pages, 6 figures; To appear in Physica A (2014)
References in corpus (11)
- Nonlinear collective effects in photon-photon and photon-plasma interactions
- Self-consistent fluid model for a quantum electron gas
- Black Holes
- Nuclear reaction rates and energy in stellar plasmas : The effect of highly damped modes
- Spin magnetohydrodynamics
- Quantum plasma effects in the classical regime
- New Quantum Limits in Plasmonic Devices
- Nonlinear wave interactions in quantum magnetoplasmas
- Nyquist method for Wigner-Poisson quantum plasmas
- Ion-acoustic solitary waves and shocks in a collisional dusty negative ion plasma
- Dust ion-acoustic shocks in quantum dusty pair-ion plasmas