The dynamics of a globally neutral system of diffusing Coulomb charges
in two dimensions, driven by an applied electric field, is studied in
a wide temperature range around the Berezinskii-Kosterlitz-Thouless t
ransition. I argue that the commonly accepted ''free particle drift''
mechanism of charge transport in this system is limited to relatively
low particle densities. For higher densities, I propose a modified pic
ture involving collective ''partner transfer'' between bound pairs. Th
e new picture provides a natural explanation for recent experimental a
nd numerical findings which deviate from standard theory. It also clar
ifies the origin of dynamical scaling in this context.