LAPLACIAN GROWTH WITH INFINITE NOISE-REDUCTION

Four models of Laplacian growth with infinite noise reduction on a square lattice are investigated. These are the four possible combinations of DLA and DBM with counters on bonds or sites, which we call SDLA, BDLA, SDBM and BDBM. All four give rise to compact patterns with nontrivial scaling exponents which we roughly estimate. While BDLA and BDBM are nearly identical and SDLA is verv similar to both. SDBM produces a different pattern, resembling the effect of a finite surface tension- Also the scaling exponent for this case could be different from the rest.