6 papers
Interface Scaling in the Contact Process
Ronald Dickman, Miguel A. Munoz
Scaling properties of an interface representation of the critical contact process are studied in dimensions 1 - 3. Simulations confirm the scaling relation beta_W = 1 - theta betwe…
Crossover from directed percolation to compact directed percolation
J. F. F. Mendes, R. Dickman, H. Herrmann
We study critical spreading in a surface-modified directed percolation model in which the left- and right-most sites have different occupation probabilities than in the bulk. As we…
Critical Dynamics of the Contact Process with Quenched Disorder
Adriana G. Moreira, Ronald Dickman
We study critical spreading dynamics in the two-dimensional contact process (CP) with quenched disorder in the form of random dilution. In the pure model, spreading from a single p…
Nonuniversal Critical Spreading in Two Dimensions
Ronald Dickman
Continuous phase transitions are studied in a two dimensional nonequilibrium model with an infinite number of absorbing configurations. Spreading from a localized source is charact…
Hyperscaling in the Domany-Kinzel Cellular Automaton
Ronald Dickman, Alex Yu. Tretyakov
An apparent violation of hyperscaling at the endpoint of the critical line in the Domany-Kinzel stochastic cellular automaton finds an elementary resolution upon noting that the or…
Numerical Study of a Field Theory for Directed Percolation
Ronald Dickman
A numerical method is devised for study of stochastic partial differential equations describing directed percolation, the contact process, and other models with a continuous transi…