Interface growth with competitive processes

D. MURACA; L. A. BRAUNSTEIN; R. C. BUCETA

Porto Alegre

Workshop; Workshop on transport and self-organization in Complex Systems; 2004

UFRGS

The competitive growth models (CGM) involving only one kind of particles, are a mixture of two processes, one with probability p and the other with 1–p. The p dependance produce crossovers between two different regimes. We demonstrate that the coefficients of the continuous equation, describing their universality classes, are quadratic in p. Thus, this dependance is a universal behavior of all the CGM. We derive analytically the continuous equations for two CGM, in 1+1 dimensions, from the microscopic rules using a regularization procedure. We propose generalized scalings that reproduce the scaling behavior in each regime. The numerical integrations results are in excellent agreement with those of the microscopic CGM presented here and with the proposed scalings.