  A multispecies, collisionless plasma is modeled by the Vlasov-Poisson system.
Assuming that the electric field decays with sufficient rapidity as $t
\to\infty$, we show that the velocity characteristics and spatial averages of
the particle distributions converge as time grows large. Using these limits we
establish the precise asymptotic profile of the electric field and its
derivatives, as well as, the charge and current densities. Modified spatial
characteristics are then shown to converge using the limiting electric field.
Finally, we establish a modified $L^\infty$ scattering result for each particle
distribution function, namely we show that they converge as $t \to \infty$
along the modified spatial characteristics. When the plasma is non-neutral, the
estimates of these quantities are sharp, while in the neutral case they may
imply faster rates of decay.
