Nonlinear waves in viscoelastic magnetized complex astroplasmas with polarized dust-charge variations

Abstract

A nonextensive nonthermal magnetized viscoelastic astrofluid, compositionally containing nonthermal electrons and ions together with massive polarized dust micro-spherical grains of variable electric charge, is allowed to endure weakly nonlinear perturbation around its equilibrium. The nonextensivity originating from the large-scale non-local effects is included via the Tsallis thermo-statistical distribution laws describing the lighter species. Assuming the equilibrium as a homogeneous hydrostatic one, the dust polarization effects are incorporated via the conventional homogeneous polarization force law. The perturbed fluid model evolves as a unique conjugate pair of coupled extended Korteweg-de Vries (e-KdV) equations. A constructed numerical tapestry shows the collective excitations of a new pair of distinct classes of nonlinear mode structures in new parametric space. The first family indicates periodic electrostatic compressive eigenmodes in the form of soliton-chains. Likewise, the second one reveals gravitational rarefactive solitary patterns. Their microphysical multi-parametric dependencies of the eigen-patterns are illustratively analyzed and bolstered. The paper ends up with some promising implications and applications in the astro-cosmo-plasmic context of wave-induced accretive triggering processes responsible for gravitationally bounded (gravito-condensed) astro-structure formation, such as stellesimals, planetsimals, etc.

Jeans surface instability of an electron-ion plasma

“…In the linear kinetic regime the influence of dust equilibrium density, equilibrium ionic population distribution and dust mass on Jeans instability was studied in [24]. The nonlinear behavior of gravito-electrostatic waves in complex astro-clouds was issued in [25]; and the nonlinear properties of viscoelastic magnetized complex astro-plasmas with polarized dust-charge variations was studied in [26]. Further various nonlinear waves in astrophysical fluids have been investigated in [27,28] to account for gravitational instability.…”

The collisional relaxation rate of kappa-distributed plasma with multiple components

“…After introduced by Vasyliunas in 1968 1 , kappa distribution, as a non-equilibrium stationary distribution, has been applied to model plenty of space plasmas successfully, for instance, solar corona, 2,3 solar wind, [4][5][6][7] inner heliosheath, 8 the planetary magnetosphere, [9][10][11] and so on. Theoretical investigations based on kappa distribution are also interesting topics, which refer to various properties of plasma deviated from Maxwellian equilibrium, such as the discussions of the Debye length, 12,13 the definition of temperature, 14,15 solitary waves and nonlinear waves in plasmas, [16][17][18] the instabilities of plasma, [19][20][21][22][23][24][25][26] transport properties, [27][28][29][30][31] , and some other works, [32][33][34][35] etc. The kappa velocity distribution is usually written as, 36…”