New coarse grained approach for simple surface growth model (oral)

D. HANSMANN; R. C. BUCETA

La Falda, Córdoba

Congreso; TREFEMAC 2012 - 10° Congreso Regional de Física Estadística y Aplicaciones a la Materia Condensada; 2012

FAMAF, UN de Córdoba

Surface growth models, which belong to the same universality class, are usually characterized by a unique set of power-law exponents related to each other by scaling relations. In addition, discrete and continuous models within the same class share the same linearities and (or) nonlinearities. In this work, we present a new approach to calculate the coarse-grained coefficients of these linearities and (or) nonlinearities. The approach is based on small translations within a test space, which change average interface growth velocity and permit to obtain the coefficients. This method can be applied to a wide range of surface growth models and can be used to determine their universality class. The most studied surface growth models belong to the Edwards-Wilkinson (EW) or to the Kardar-Parisi-Zhang (KPZ) universality class. Therefore, we focus on the two models of the KPZ universality class, the ballistic deposition model and the restricted solid-on-solid model. We demonstrate how to apply our approach to calculate the coefficients of the KPZ equation. In addition to the ballistic deposition model and the restricted solid-on-solid model, we study a competitive restricted solid-on-solid model, which shows crossover regimen between the KPZ and EW universality class.