The current filamentation instability (CFI) is a fundamental mechanism in both astrophysical and laboratory plasmas, contributing to magnetic field amplification and energy dissipation in beam–plasma systems. In this work, we develop a multi-fluid model of CFI in weakly ionized plasmas, incorporating charge-neutral collisions, finite-temperature effects, and an obliquely oriented external magnetic field. A generalized dispersion relation is derived and numerically solved to evaluate the combined impact of collisionality and magnetic field geometry. Our results reveal that a parallel magnetic field can suppress CFI, reducing the maximum growth rate by up to 50% and narrowing the range of unstable wavenumbers. In contrast, perpendicular magnetic fields increase the growth rate by approximately 20%–30%, due to gyromotion-driven resonances, while oblique configurations display weaker stabilization. These findings provide quantitative predictions for laboratory plasmas with adjustable ionization degree and external magnetic fields, where Thomson scattering and magnetic probe diagnostics could validate the predicted growth rates. The results also extend to astrophysical environments such as gamma-ray burst shocks, interstellar turbulence, and laser–plasma interaction experiments, offering an enhanced framework for CFI in weakly ionized, magnetized plasmas with collisional effects.
Tajiknezhad et al. (Thu,) studied this question.
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