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most citedGrowth Exponent in the Domany-Kinzel Cellular Automaton

13 citations · 31 across the 7 of their papers we have counts for

collaborators

7 papers

math-ph2020★ 2 cited

On the monotonicity of the critical time in the Constrained-degree percolation model

Charles S. do Amaral, A. P. F. Atman, Bernardo N. B. de Lima

The Constrained-degree percolation model was introduced in [B.N.B. de Lima, R. Sanchis, D.C. dos Santos, V. Sidoravicius, and R. Teodoro, Stoch. Process. Appl. (2020)], where it wa…

cond-mat.stat-mech2019

Multirange Ising model on the square lattice

Charles S. do Amaral, B. N. B. de Lima, Ronald Dickman +1

We study the Ising model on and show, via numerical simulation, that allowing interactions between spins separated by distances and (two ranges), the criti…

cond-mat.soft2015

Analysis of the velocity field of granular hopper flow

F. G. R. Magalhães, A. P. F. Atman, J. G. Moreira +1

We report the analysis of radial characteristics of the flow of granular material through a conical hopper. The discharge is simulated for various orifice sizes and hopper opening…

cond-mat.stat-mech2006★ 7 cited

New method to study stochastic growth equations: a cellular automata perspective

T. G. Mattos, J. G. Moreira, A. P. F. Atman

We introduce a new method based on cellular automata dynamics to study stochastic growth equations. The method defines an interface growth process which depends on height differenc…

cond-mat.stat-mech2002★ 9 cited

Quasi-stationary distributions for the Domany-Kinzel stochastic cellular automaton

A. P. F. Atman, Ronald Dickman

We construct the {\it quasi-stationary} (QS) probability distribution for the Domany-Kinzel stochastic cellular automaton (DKCA), a discrete-time Markov process with an absorbing s…

cond-mat.stat-mech2001

Lattice Model for Approximate Self-Affine Soil Profiles

A. P. F. Atman, J. G. Vivas Miranda, A. Paz Gonzalez +1

A modeling of the soil structure and surface roughness by means of the concepts of the fractal growth is presented. Two parameters are used to control the model: the fragmentation…