Probing Universality classes in Solid-on-Solid deposition

CASTEZ, M. F.; SALVAREZZA, R. C.; HERNAN GUSTAVO SOLARI

Physical Review E - Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics

american physical society

Año: 2004 vol. 70 p. 1160 - 1160

We consider several stochastic processes corresponding to the same physical solid-on-solid deposition prob-lem. Simplified models presenting the same (conditional) mean and variance for each process are also intro-duced as well as generalizations in terms of the deposition of blobs and probabilistic deposition rules. Wecompare the evolution of the roughness as a function of time for a three-parameter family that includes as limitcases the Family model and the Edwards-Wilkinson equation, showing that in all cases the derived models withthe same mean and variance are indistinguishable from the originating models in terms of the evolution of theroughness. Finally, we show that although all the models studied belong to the same universality class, somerelevant features such as the final surface roughness are reproduced only for models within a restricted classdetermined by sharing the same (conditional) mean and variance.