168 citations · 271 across the 8 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…
Elastic wave propagation in confined granular systems
Ellak Somfai, Jean-Noel Roux, Jacco H. Snoeijer +2
We present numerical simulations of acoustic wave propagation in confined granular systems consisting of particles interacting with the three-dimensional Hertz-Mindlin force law. T…
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…
Theory of Diffusion Controlled Growth
R. C. Ball, E. Somfai
We expand upon a new theoretical framework for Diffusion Limited Aggregation and associated Dielectric Breakdown Models in two dimensions [R. C. Ball and E. Somfai, Phys. Rev. Lett…
Correction to scaling analysis of diffusion-limited aggregation
Ellak Somfai, Robin C. Ball, Neill E. Bowler +1
Diffusion-limited aggregation is consistent with simple scaling. However, strong subdominant terms are present, and these can account for various earlier claims of anomalous scalin…