Electrodynamics and Anisotropic Transport in Cosmic-Ray Induced Micro-Plasma Columns

High-energy cosmic protons passing through neutral upper-atmospheric and magnetospheric regions strip electrons from target gas molecules, gen erating transient, sub-meter-scale cylindrical micro-plasma channels. In this study, we propose a comprehensive theoretical and numerical frame work to model the spatial, temporal, and electrodynamic evolution of these ionization trails. We explicitly incorporate Lorentz force dynam ics, electronic Larmor gyrations (rL,e ∼ 0.011 − 0.05 m), and non-ideal plasma transport mechanisms including ⃗ E×⃗ B and Gradient-B drifts along boundary interfaces like the magnetopause. Furthermore, we demonstrate that following the rapid exit/dispersion of primary ionizing agents, the remaining unshielded ion core under goes an electrostatic repulsion, establishing collective ion-acoustic den sity oscillations. For typical upper-atmosphere core ion densities (n0 ∼ 1014 −1016 m−3), we analytically derive the characteristic ion plasma fre quency to span the Medium-to-High-Frequency (MF–HF) radio regime (fpi ≈ 0.397 − 3.97 MHz) with a microsecond-scale decay driven by two body dissociative recombination (τrec). Because this 0.397 − 3.97 MHz emission falls below the typical ionospheric cutoff frequency (foF2), ter restrial reflection shields ground detectors, rendering Low-Earth-Orbit (LEO) satellite-based plasma wave receivers the primary candidate for experimental validation.