Nonlinear Jeans-Buneman instability in gravitating complex plasmas

Abstract

The nonlinear evolutionary dynamics of the hybrid Jeans-Buneman instability (JBI) in charge-fluctuating viscous dust molecular clouds (DMCs) of infinite extension is semi-analytically studied. The cloud macroscopic state is initially considered to be in a quasi-hydrostatic homogeneous equilibrium configuration, modeled in a classical non-relativistic framework, on the Jeans spatiotemporal scales. The global quasi-neutrality, dust-charge fluctuation, viscous dissipation, and inter-species collision effects are presumed to coexist. Such complex plasma situations are practically realizable in the star-forming DMCs in the diffused interstellar media extensively. A local nonlinear perturbative analysis herein yields a unique conjugational pair of coupled extended Korteweg-de Vries (e-KdV) equations on the gravito-electrostatic potential fluctuations. A numerical platform illustrates that the electrostatic and gravitational fluctuations grow as a unique admixture of compressive and rarefactive solitary wave patterns. It is seen that, even for cm-sized heavier dust grains, the gravitational wave amplitudes supersede the electrostatic counterparts. It is demonstrated geometrically that the electrostatic (gravitational) phase portraits are cyclically regular (irregular), unbounded (quasi-bounded), open (quasi-closed), and astable (quasi-stable) with no limit cycle behavior evolving as non(quasi)-homoclinic trajectories. The fluctuation amplitude-growth features with plasma multi-parametric variation is illustratively explored alongside its non-trivial futuristic applicability in bounded astrostructure formation.