Conserved surface dynamics with(out) deposition or relaxation

R. C. BUCETA; D. HANSMANN

La Falda, Córdoba

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

FAMAF, UN de Córdoba

First, we consider the 1-dimensional particle model with symmetric hopping rate suggested by Krug [Adv.Phys. 46 (1997) 139] in order to obtain a conserved Kardar-Parisi-Zhang (cKPZ) equation. Following a coarse-grained technique, introduced by us (in oral session), we show how to determine the coefficients of the continuous differential equation (CDE). Our approach is based on small translations within a test space, which change the cKPZ kernel and permit to obtain their coefficients. Then we consider the model with asymmetric hopping rate introduced by Jung and Kim [PRE 59 (1999) 7224] that add a Laplacian term to the cKPZ terms. Finally, we take the known Family model of deposition with relaxation, in order to show that the CDE contains a small cKPZ contribution additional to the usual ones (Laplacian and constant). Following the above method, we determine the coefficients for the models considered.