LOGARITHMIC CORRECTIONS FOR THE PERCOLATIVE PROPERTIES OF THE 4-STATEPOTTS-MODEL

Clusters in the Potts model are connected sets of nearest neighbour si tes for which the spin variables are in the same state. Droplets can b e obtained by adding bonds with probability p = 1 - exp(-K) between th e sites in a cluster (where K is the Potts model's inverse temperature ). When q-->4, renormalization group (RG) fixed points describing clus ters and droplets will coalesce, leading to logarithmic corrections. W e calculate the precise form of these corrections used in a differenti al RG method. Our predictions are then tested using extensive Monte Ca rlo calculations. Theory and the simulations are found to be in excell ent agreement.