most citedGrowth exponents of the etching model in high dimensions

24 citations · 66 across the 6 of their papers we have counts for

collaborators

6 papers

physics.soc-ph20177 cited

Pendular behavior of public transport networks

Mirian M. Izawa, Fernando A. Oliveira, Daniel O. Cajueiro +1

In this paper, we propose a methodology that bears close resemblance to the Fourier analysis of the first harmonic to study networks subjected to pendular behavior. In this context…

physics.bio-ph20175 cited

Physiological Aging as an Infinitesimally Ratcheted Random Walk

Bernardo A. Mello

The distribution of a population throughout the physiological age of the individuals is very relevant information in population studies. It has been modeled by the Langevin and the…

cond-mat.stat-mech201715 cited

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…

cond-mat.stat-mech201724 cited

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…

cond-mat.stat-mech201715 cited

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…

nlin.CG2012

An analytical formulation for roughness based on celular automata

Ismael V. L. Costa, Henrique A. Fernandes, Bernardo A. Mello +1

We present a method to derive the analytical expression of the roughness of a fractal surface whose dynamics is ruled by cellular automata. Starting from the automata, we write dow…