90 citations · 271 across the 13 of their papers we have counts for
6 papers · 1 filter
A random rule model of surface growth
Bernardo A. Mello
Stochastic models of surface growth are usually based on randomly choosing a substrate site to perform iterative steps, as in the etching model [1]. In this paper I modify the etch…
Growth exponents of the etching model in high dimensions
Evandro A Rodrigues, Bernardo A Mello, Fernando A Oliveira
In this work we generalize the etching model (Mello et al 2001 Phys. Rev. E 63 041113) to d + 1 dimensions. The dynamic exponents of this model are compatible with those of the Kar…
Analysis of etching at a solid-solid interface
Washington S. Alves, Evandro A. Rodrigues, Henrique A. Fernandes +3
We present a method to derive an analytical expression for the roughness of an eroded surface whose dynamics are ruled by cellular automaton. Starting from the automaton, we obtain…
On the existence of an upper critical dimension for systems within the KPZ universality class
Evandro A. Rodrigues, Fernando A. Oliveira, Bernardo A. Mello
In this work we extend the etching model to dimensions. This permits us to investigate its exponents behaviour on higher dimensions, to try to verify the existence of an uppe…
Phase transitions in simplified models with long-range interactions
T. M. Rocha Filho, M. A. Amato, B. A. Mello +1
We study the origin of phase transitions in some simplified models with long range interactions. For the ring model, we show that a possible new phase transition predicted in a rec…
Controlled transport of solitons and bubbles using external perturbations
J. A. Gonzalez, A. Marcano, B. A. Mello +1
We investigate generalized soliton-bearing systems in the presence of external perturbations. We show the possibility of the transport of solitons using external waves, provided th…