16 citations · 34 across the 3 of their papers we have counts for
4 papers
Uninfected random walkers in one dimension
S. J. O'Donoghue, A. J. Bray
We consider a system of unbiased diffusing walkers (A0 <-> 0A) in one dimension with random initial conditions. We investigate numerically the relation between the fraction of walk…
Fraction of uninfected walkers in the one-dimensional Potts model
S. J. O'Donoghue, A. J. Bray
The dynamics of the one-dimensional q-state Potts model, in the zero temperature limit, can be formulated through the motion of random walkers which either annihilate (A + A -> 0)…
Persistence in the One-Dimensional A+B -> 0 Reaction-Diffusion Model
S. J. O'Donoghue, A. J. Bray
The persistence properties of a set of random walkers obeying the A+B -> 0 reaction, with equal initial density of particles and homogeneous initial conditions, is studied using tw…
Unusual Dynamical Scaling in the Spatial Distribution of Persistent Sites in 1D Potts Models
A. J. Bray, S. J. O'Donoghue
The distribution, n(k,t), of the interval sizes, k, between clusters of persistent sites in the dynamical evolution of the one-dimensional q-state Potts model is studied using a co…