PERCOLATION OF FINITE-SIZED OBJECTS ON A LATTICE

We study the percolation of finite-sized objects on two- and three-dim ensional lattices. Our motivation stems, on one hand, from some recent interesting experimental results on transport properties of impurity- doped oxide perovskites, and on the other hand from the theoretical ap peal that this problem presents. Our system exhibits a well-defined pe rcolation threshold. We estimate the size of magnetic polarons, believ ed to be the carriers of the above-mentioned transport. We have also o btained two critical exponents for our model, which characterize its u niversality class. [S1063-651X(98)06801-9].