Surface growth with temporally correlated noise

A. ALÉS; J.M.LÓPEZ

Palma de Mallorca, España

Seminario; VIII GEFENOL Summer School on Statistical Physics of Complex Systems; 2018

Real Sociedad Española de Física

Many and varied phenomena of surface growth have been modeled through discrete systems and it has been possible to find their associated critical exponents. This has classified growing surfaces into certain classes of universality. A particular case is the ballistic deposition model, studied since the 60s of the last century; when stimulated with white noise, its critical behavior falls on the universality given by the KPZ equation. In contrast, when the noise has a temporal correlation this gives rise to the modification of the critical exponents and the formation of facets, which require a new spectral roughness exponent (within the so-called generic dynamic scaling) to be able to characterize the roughness scaling of the obtained surface.We have studied and characterized this exponent, comparing with the results obtained from the continuous KPZ model.