Relationships between a microscopic parameter and the stochastic equations for interface's evolution of two growth models.

C. HOROWITZ; E. ALBANO

Colonia del Sacramento, Uruguay

Congreso; XIII Reunión de Mecánica Estadística de Noequilibrio y Física Nolineal; 2002

Medyfinol

The relationship between a microscopic parameter $p$, that is relatedto the probability of choosing a mechanism of deposition, and the stochasticequation for the interface´s evolution is studied for two different models.It is found that in one model, that is similar to ballistic deposition, the corresponding stochastic equation can be represented by a Kardar-Parisi-Zhang (KPZ) equation where both $lambda$ and $ u$ depend on $p$ in the following way: $ u(p)= u p$ and $lambda(p)=lambda p^{3/2}$.Furthermore, in the other studied model, which is similar to random deposition with relaxation, the stochastic equation can be represented by an Edwards-Wilkinson (EW) equation where $ u$ depends on$p$ according to $ u(p)= u p^2$. It is expected that these results will help to find a framework for the development of stochastic equations starting from microscopic details of growthmodels.