Weakly nonlinear ion-acoustic excitations in a relativistic model for dense quantum plasma

Abstract

The dynamics of linear and nonlinear ionic-scale electrostatic excitations propagating in a magnetized relativistic quantum plasma is studied. A quantum-hydrodynamic model is adopted and degenerate statistics for the electrons is taken into account. The dispersion properties of linear ion acoustic waves are examined in detail. A modified characteristic charge screening length and "sound speed" are introduced, for relativistic quantum plasmas. By employing the reductive perturbation technique, a Zakharov-Kuznetzov-type equation is derived. Using the small-k expansion method, the stability profile of weakly nonlinear slightly supersonic electrostatic pulses is also discussed. The effect of electron degeneracy on the basic characteristics of electrostatic excitations is investigated. The entire analysis is valid in a three-dimensional as well as in two-dimensional geometry. A brief discussion of possible applications in laboratory and space plasmas is included.

Ion-acoustic envelope modes in a degenerate relativistic electron-ion plasma

“…8,39 Various relevant theoretical investigations have been proposed, predicting excitations that are yet to be detected. 17,[42][43][44] Considering the possibility for experimental confirmation (realization) of our predictions in the laboratory, we note that the present model becomes relevant for ultra-high densities, when both degeneracy and relativistic effects come into play. For instance, an one-dimensional density n 0 % 10 11 m À1 , corresponding to n 0 % 0:1 (and a 3D equivalent of n 3D % 10 33 m À3 ), is not at all inconceivable in view of the already available laser-plasma compression technology.…”

Oblique collision of ion acoustic solitons in a relativistic degenerate plasma

“…Figure 3 shows a density plot for the oblique collision of the two soliton solutions in Eqs. (34) and (35) where the impact of is clear in the two panels of Fig. 3.…”

“…We consider a two component degenerate relativistic plasma composed of ions and electrons. Introducing the normalized set of governing equations that were adopted from 34 as follows: …”

“…Zobaer et al studied electrostatic shock structures and their fundamental features in a degenerate dense plasma that contains both nonrelativistic and ultrarelativistic degenerate electrons and cold non-relativistic degenerate ions 33 . Behery et al studied the propagation and stability of non-linear solitons by getting the Zakharov-Kuznetsov equation in a supersonic relativistic quantum plasma indicating their despersion properties and highlighting the possible applications in both space and laboratory plasma 34 . Choudhury et al 35 have studied a two soliton interaction in a semiconductor of quantum plasma, also they investigated the effect of quantum diffraction parameter and hole to electron equilibrium density ratio on the phase shifts.…”

Characteristics of solitary waves in a relativistic degenerate ion beam driven magneto plasma

“…and highlighted the possible application regarding from the view point of laboratory and space plasma [33]. ElShamy et al studied the non-linear solitary wave propagation in dense degenerate magneto plasma and they concluded that ion cyclotron frequency, direction cosine of wave vector has a great impact on the propagation of solitary wave in such plasma [34].…”