316 citations · 2.7k across the 94 of their papers we have counts for
8 papers · 1 filter
Quasi-stationary simulation of the contact process
Ronald Dickman, Marcelo Martins de Oliveira
We review a recently devised Monte Carlo simulation method for the direct study of quasi-stationary properties of stochastic processes with an absorbing state. The method is used t…
Absorbing-state phase transitions with extremal dynamics
Ronald Dickman, Guilherme J. M. Garcia
Extremal dynamics represents a path to self-organized criticality in which the order parameter is tuned to a value of zero. The order parameter is associated with a phase transitio…
Asymmetric dynamics and critical behavior in the Bak-Sneppen model
Guilherme J. M. Garcia, Ronald Dickman
We investigate, using mean-field theory and simulation, the effect of asymmetry on the critical behavior and probability density of Bak-Sneppen models. Two kinds of anisotropy are…
How to simulate the quasi-stationary state
Marcelo Martins de Oliveira, Ronald Dickman
For a large class of processes with an absorbing state, statistical properties of the surviving sample attain time-independent values in the quasi-stationary (QS) regime. We propos…
Revisiting the critical behavior of nonequilibrium models in Short-time Monte Carlo Simulations
Roberto da Silva, Ronald Dickman, J. R. Drugowich de Felicio
We analyze two alternative methods for determining the exponent of the contact process (CP) and Domany-Kinzel (DK) cellular automaton in Monte Carlo Simulations. One method emp…
Asymptotic behavior of the order parameter in a stochastic sandpile
Ronaldo Vidigal, Ronald Dickman
We derive the first four terms in a series for the order paramater (the stationary activity density rho) in the supercritical regime of a one-dimensional stochastic sandpile; in th…