Nonlinear waves in an inhomogeneous quantum plasma

Abstract

For an inhomogeneous quantum magnetoplasma system with density and temperature gradients, a two-dimensional nonlinear fluid dynamic equation is derived in the case where the collision frequency between ions and neutrals is minor. The shock, explosion and vortex solutions of the potential for this system are obtained. The changes of the potential in the dense astrophysical environment are discussed. It is shown that the strength of the shock and the width of the explosion are both enhanced with the density increasing (equivalently, the normalized quantum parameter decreasing), but with the drift velocity decreasing (equivalently, the density and temperature gradients decreasing); the potential always tends to a stable value with the spatiotemporal phase increasing, and the system approaches finally to a stable state. Besides, the temporal and spatial distributions of the vortex potential display a stable and period vortex street.

Drift-wave fluctuation in an inviscid tokamak plasma

“…( 3) and (4), we employ the following special function transformation method, which is similar to that in Refs. [19]- [21]. Assume that…”

Nonlinear ion-acoustic solitary waves in an electron-positron-ion plasma with relativistic positron beam

“…[1][2][3][4][5] The study of electron-positronion (EPI) plasmas has been growing extensively due to their presence in the early universe, in the active galactic nuclei, in the pulsar magnetosphere, ionosphere, in the solar atmospheres, etc. [6][7][8][9][10][11] It is well known that when positrons are introduced into an electron-ion plasma, the response of the electrostatic waves changes significantly in comparison to the usual two component plasmas. [5,12,13] Therefore, it is worthwhile to study the nonlinear wave propagation in electronpositron-ion plasmas for understanding the dynamical behaviour of astrophysical and laboratory plasmas.…”

Dust acoustic waves in collisional uniform dense magnetoplasma

“…[2] Since Haas extended the magnetohydrodynamic model [9] to the quantum hydrodynamic (QHD) model [10] in the case of nonzero magnetic field for dense plasmas with a quantum correction term generally known as the Bohm potential, the QHD model has become one of the most frequently employed models for studying dense quantum plasmas, and many research results have been gained with it. [11][12][13][14][15][16][17] For example, in the investigation of DA waves, the variations of the drift shock profile with the quantum Bohm potential, collision frequency, ratio of drift to shock velocity in the co-moving frame and effect of magnetic field have been investigated. [18] The quantum DA double layers show that the formation of the compressive and the rarefactive double layers relies on the quantum plasma parameters.…”