Nonlinear density excitations in electron-positron-ion plasmas with trapping in a quantizing magnetic field

Abstract

In the present work, we have investigated the effect of trapping as a microscopic phenomenon on the formation of solitary structures in the presence of a quantizing magnetic field in an electron-positron-ion (e-p-i) plasma having degenerate electrons and positrons, whereas ions are taken to be classical and cold. We have found that positron concentration, quantizing magnetic field, and finite electron temperature effects not only affect the linear dispersion characteristics of the electrostatic waves under consideration but also have a significant bearing on the propagation of solitary structures in the nonlinear regime. Importantly, the system under consideration has been found to allow the formation of compressive solitary structures only. The work presented here may be beneficial to understand the propagation of nonlinear electrostatic structures in dense astrophysical environments and in intense-laser plasma interactions.

The energy dissipation of a test-charge particle within a dense, degenerate electron- positron-ion plasma

“…This is the Landau quantization, which is generally taken into consideration when the electron thermal energy is assumed to be much smaller compared to the electron cyclotron energy [viz., k B T e = ÿω ce ],whereT e andω ce denote the electron temperature and electron cyclotron frequency, respectively, with Boltzmann constantk B and scaled Planck constant ÿ. In recent past, Iqbal et al [37] considered an EPI cold plasma to investigate the ion-acoustic (IA) waves in the presence of electron-positron quantization effects. They carried out a parametericinvestigation and analyzed the linear and nonlinear characteristics of the IA waves, investigating the effects of the quantized magnetic field, positron concentration and electron temperature on the compressive solitary structures.…”

Nonlinear drift ion acoustic waves in degenerate plasmas with adiabatic trapping

“…Shah et al found the expression for adiabatically trapped number density of electrons by virtue of an electrostatic scalar potential in the limits of partially and fully degenerate plasmas which we will use in our problem [27]. The effect of adiabatic trapping on the dispersion properties of ion acoustic waves in degenerate plasmas and relativistic degenerate plasmas in the presence of quantizing magnetic field were studied to obtain both compressive and rarefactive solitary solutions via Sagdeev potential approach and tangent hyperbolic (tanh) method [28][29][30]. Furthermore, drift solitary waves with trapped electrons have also been studied for the variation of electron degeneracy temperature in dense astrophysical plasmas [31].…”

Magnetic quantum string waves in non-degenerate quantum plasma

“…Moreover, the quantum electron-ion or electron-positron-ion magnetoactive plasmas are common in planetary interiors, in compact astrophysical objects [5], as well as in the next generation intense laser-solid density plasma experiments. Various aspects of linear and nonlinear propagation characteristics of electrostatic or electromagnetic modes in the context of isotropic Fermi surfaces have been investigated in numerous papers [6][7][8][9][10][11][12][13][14]. However, as is well known, the concept of spherical symmetry of the Fermi surface is no more valid in certain systems even in a collisionless regime of Fermi gas [15,16].…”

“…Employing the quantum kinetic equation derived in Ref. [10] the dispersion properties of various modes have been discussed in quantum plasmas [10][11][12][13][14]24].…”