Solitary-train dynamics in viscoelastic nonthermal astroplasmas

Abstract

The nonlinear fluctuation dynamics in a self-gravitating nonthermal viscoelastic complex fluid is semi-analytically investigated. It considers the thermostatistical κ-distribution law for the weakly coupled lighter constitutive particles against the strongly coupled heavier constituents treated as a complex viscoelastic fluid. A multi-scale analysis reduces the fluid equations into a Korteweg-de Vries (KdV) equation with a unique set of multiparametric coefficients. It reveals excitations of solitary trains of unique interesting patterns. A further confirmation about the eigen-structures is provided with the help of phase-plane analysis. It is specifically shown that the thermostatistical power-law exponent (κ) acts as a destabilizing source for the nonthermal plasma fluids against the gravitational collapse in all the diversified conditions, and so forth. Different characteristic features of the patterns in different thermodynamical conditions are discussed together with a synoptic indication to applicability scope.