Branching and resonant characteristics of surface plasma waves in a semi-bounded quantum plasma including spin-current effects

Abstract

The dispersion relation for the waves propagating on the surface of a bounded quantum plasma with consideration of electron spin-current and ion-stream is derived and numerically investigated. We have found that one of the real parts of the wave frequency has the branching behavior beyond the instability domains. In such a region where the frequency branching occurs, the waves exhibit purely propagating mode. The resonant instability has also been investigated. We have found that when the phase velocity of the wave is close to the velocity of ion-stream the wave becomes unstable. However, the resonant growth rate is remarkably reduced by the effect of electron spin-current. The growth rate is also decreased by either the reduction of ion-stream velocity or the increase in quantum wavelength. Thus, the quantum effect in terms of the quantum wave number is found to suppress the resonant instability. It is also found that the increase in Fermi energy can reduce the growth rate of the resonant wave in the quantum plasma.

Transformation of a plasma boundary curvature into electrical impulses moving along a plasma surface

“…The description of nonlinear waves of surface charge is given in Gradov (2020Gradov ( , 2021 based on using the theory of the potential (Jeffreys & Swirles 1999) in a model of cold plasma with a sharp boundary occupying the region x > 0 along the 0X axis, and stationary ions with density N and charge e. The plane boundary placed at the point x = 0 on the 0X axis can be distorted for electrons. Then their surface is described by the equation x = x 0 (t, y, z).…”

“…; and τ = ω S t, u = v/s were introduced with using ε 0 as the notation of the vacuum permittivity. As shown in Gradov (2020), the constant a 1 arises when the value of the electrostatic potential near the boundary is presented like an expansion on a small parameter (x − x 0 ) as a result of the integration in the corresponding term of this expansion determined by the potential theory of Jeffreys & Swirles (1999). The use of the dimensional constant s is associated with the conversion of all equations into a dimensionless form, and its value with the velocity dimension is determined by the velocity at which the points of the profile of the nonlinear wave under consideration move, as shown by the solutions obtained below.…”

“…As obtained and used in works (Gradov 2020(Gradov , 2021(Gradov , 2022 concerning nonlinear surface charge. The relation (2.8) is a consequence of the potential theory (Jeffreys & Swirles 1999) used to describe the nonlinear surface charge.…”

“…As follows from the theory of the potential (Jeffreys & Swirles 1999), the space distribution of the electrostatic potential ϕ e of the surface charge is defined in whole space by its magnitude at the boundary (z,t) for the case when the half-space plasma has a boundary in the form of the infinite surface x = x 0 (z) consistent with Gradov (2020):…”

Bifurcation analysis of nonlinear and supernonlinear dust–acoustic waves in a dusty plasma using the generalized (r, q) distribution function for ions and electrons

“…The spectral indices r and q have a significant effect on the nonlinear characteristics of DA waves including dust charge fluctuations 13 . Recently, using the generalized ( r , q ) distribution, Lee and Jung investigated the dispersion properties of surface dust ion acoustic (DIA) waves in a magnetized dusty plasma (DP) 14 . El‐Taibany and Taha studied the effect of the generalized ( r , q )–distributed electrons on the propagation of DA waves in a DP containing variable–size dust grains 15 .…”