Jm. Debierre et G. Albinet, PERCOLATION-LIKE TRANSITION IN DLA WITH 2 SPECIES, Journal of physics. A, mathematical and general, 29(9), 1996, pp. 1905-1913
We introduce a DLA model with two species in order to simulate the gro
wth of alternate clusters. We perform intensive numerical simulations
in two dimensions in which the proportions of the two species are vari
ed. A critical point, analogous to a percolation threshold, is found a
nd a new class of critical exponents is obtained for this transition.
Within numerical accuracy, the fractal dimension of the clusters is fo
und to be the same as in the usual DLA model, independent of the speci
es concentrations. Possible connections with the growth of two-dimensi
onal ionic crystals are discussed.