We carried out computer simulations to grow Diffusion Limited Aggregat
es (DLAs) with the diffusing particles subject to outward radial drift
u that varies as the power law (u = ar(b);b = 0,1,-1) with the distan
ce r from the seed of the aggregate. We found that a morphological tra
nsition from DLA structure to single branch structure occurs if the dr
ift strength is strong enough, Such morphological transition is relate
d to the probability for the random walkers to get to the inner part o
f the aggregate. For b = -1, the aggregates grow from a single branch
structure to a ramified structure with dimension close to that of the
ordinary DLA. The recovery of the DLA structure is confirmed for b = -
2.