The dynamics of vortical structures in magnetized plasmas with nonuniform d
ensity is investigated numerically. In particular the dynamics of monopolar
vortices is considered and the results are discussed in terms of the conse
rvation of potential vorticity. It is found that individual vortex structur
es tend to transport density up the gradient in contrast to structures embe
dded in developed turbulence, which on the average will lead to a flattenin
g of the density gradient. The role of vortical structures in connection wi
th electrostatic plasma turbulence and the associated cross-field plasma tr
ansport is also addressed.