Fractal property of Eden growth morphology with acceleration effect

Fundamental growth process of Eden model has been used in many simulational studies of growing surfaces and the roughness exponent alpha(E) = 1/2 and growth exponent beta(E) = 1/3 [2] are well known. In this study we have add ed acceleration effect to the Eden model and examined universality class. W e have simulated the,growing Eden surface for several concentrations of acc eleration sites p so as to observe changing morphology with p. As the simul ation is limited to a finite lattice, we have to estimate exponents for inf inite lattice size by simulating several lattice sizes L-x x L-y. At the co nclusion we have estimated roughness and growth exponents for infinite latt ice size and obtained alpha A(infinity) similar or equal to alpha(E) = 1/2 and beta(A infinity) similar or equal to beta(E) = 1/3 which are similar to those of normal Eden model for all concentrations of acceleration sites. ( C) 1999 Published by Elsevier Science B.V. All rights reserved.