105 citations · 276 across the 12 of their papers we have counts for
8 papers · 1 filter
Anisotropic diffusion limited aggregation in three dimensions - universality and non-universality
Nicholas R. Goold, Ellak Somfai, Robin C. Ball
We explore the macroscopic consequences of lattice anisotropy for Diffusion Limited Aggregation (DLA) in three dimensions. Simple cubic and BCC lattice growths are shown to approac…
Off-lattice Noise Reduced Diffusion-limited Aggregation in Three Dimensions
Neill E. Bowler, Robin C. Ball
Using off-lattice noise reduction it is possible to estimate the asymptotic properties of diffusion-limited aggregation clusters grown in three dimensions with greater accuracy tha…
Growth by Random Walker Sampling, and Scaling of the Dielectric Breakdown Model
Ellak Somfai, Nicholas R. Goold, Robin C. Ball +2
Random walkers absorbing on a boundary sample the Harmonic Measure linearly and independently: we discuss how the recurrence times between impacts enable non-linear moments of the…
Diffusion-limited aggregation in channel geometry
Ellak Somfai, Robin C. Ball, Jason P. DeVita +1
We performed extensive numerical simulation of diffusion-limited aggregation in two dimensional channel geometry. Contrary to earlier claims, the measured fractal dimension D = 1.7…
From Plasticity to a Renormalisation Group
R. C. Ball, R. Blumenfeld
The Marginally Rigid State is a candidate paradigm for what makes granular material a state of matter distinct from both liquid and solid. Coordination number is identified as a di…
Stochastic Annealing
Robin C. Ball, Thomas M. A. Fink, Neill E. Bowler
We demonstrate that is it possible to simulate a system in thermal equilibrium even when the energy cannot be evaluated exactly, provided the error distribution is known. This lead…