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Aurorae often break down into elongated, cylindrically symmetric spacecharge filaments (with radius r) parallel to the local uniform geomagnetic field. We study the ion kinetic theory in auroral plasmas in the presence of the strong electric field (E) produced by the filaments. A method of characteristics is used to solve both the collisionfree and collisional Boltzmann equation under different E and initial ion density (n). If E is constant in time (t) but proportional to r and n is uniform, the collisionfree ion distribution function (f) pulsates in t and transport properties oscillate. If collisions are introduced, f takes a horseshoe shape symmetric to the E direction while the bulk parameters evolve from pulsating to steady states. When E changes radially, the collisionfree f has various shapes and bulk parameters change accordingly. Results are also obtained in the presence of collisions and initial density inhomogeneities when E is constant in t and proportional to r. Finally, when E is unable to stay constant and is modulated by incoming charged particles (i.e., the BolzmannVlasov problem), several plasma wave modes are excited under different initial conditions.
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