316 citations · 2.7k across the 94 of their papers we have counts for
8 papers · 1 filter
Numerical analysis of the master equation
Ronald Dickman
Applied to the master equation, the usual numerical integration methods, such as Runge-Kutta, become inefficient when the rates associated with various transitions differ by severa…
Quasi-stationary distributions for stochastic processes with an absorbing state
Ronald Dickman, Ronaldo Vidigal
We study the long-time behavior of stochastic models with an absorbing state, conditioned on survival. For a large class of processes, in which saturation prevents unlimited growth…
Nonequilibrium Phase Transitions in Epidemics and Sandpiles
Ronald Dickman
Nonequilibrium phase transitions between an active and an absorbing state are found in models of populations, epidemics, autocatalysis, and chemical reactions on a surface. While a…
Scaling Exponents of Rough Surfaces Generated by the Domany-Kinzel Cellular Automaton
A. P. F. Atman, Ronald Dickman, J. G. Moreira
The critical behavior at the frozen/active transition in the Domany-Kinzel stochastic cellular automaton (DKCA) is studied {\it via} a surface growth process in (1+1) dimensions. A…
Pair contact process with a particle source
Ronald Dickman, Wilson R. M. Rabelo, Geza Odor
We study the phase diagram and critical behavior of the one-dimensional pair contact process (PCP) with a particle source using cluster approximations and extensive simulations. Th…
Comment on cond-mat/0107371: ``Dynamical exponents of an even-parity-conserving contact process with diffusion''
Marcio Argollo de Menezes, Ronald Dickman
In cond-mat/0107371, Mendonca proposes that diffusion can change the universality class of a parity-conserving reaction-diffusion process. In this comment we suggest that this cann…