22 citations · 38 across the 5 of their papers we have counts for
5 papers
Accuracy of the cluster-approximation method in a nonequilibrium model
Alastair Windus, Henrik Jeldtoft Jensen
We examine a model in which a nonequilibrium phase transition from an active to an extinct state is observed. The order of this phase transition has been shown to be either continu…
Change in Order of Phase Transitions on Fractal Lattices
Alastair L Windus, Henrik Jeldtoft Jensen
We re-examine a population model which exhibits a continuous absorbing phase transition which belongs to directed percolation in 1+1 dimensions and a first order transition in 2+1…
Cluster geometry and survival probability in systems driven by reaction-diffusion dynamics
Alastair L. Windus, Henrik Jeldtoft Jensen
We consider a reaction-diffusion model incorporating the reactions A -> 0, A -> 2A and 2A -> 3A. Depending on the relative rates for sexual and asexual reproduction of the quantity…
Phase transitions in a lattice population model
Alastair Windus, Henrik Jeldtoft Jensen
We introduce a model for a population on a lattice with diffusion and birth/death according to 2A->3A and A->0 for a particle A. We find that the model displays a phase transition…
Allee Effects and Extinction in a Lattice Model
Alastair Windus, Henrik Jeldtoft Jensen
In the interest of conservation, the importance of having a large habitat available for a species is widely known. Here, we introduce a lattice-based model for a population and loo…