20 citations · 27 across the 3 of their papers we have counts for
7 papers
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…
Extinction times for birth-death processes: exact results, continuum asymptotics, and the failure of the Fokker-Planck approximation
Charles R. Doering, Khachik V. Sargsyan, Leonard M. Sander
We consider extinction times for a class of birth-death processes commonly found in applications, where there is a control parameter which determines whether the population quickly…
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…
Off-lattice noise reduction and the ultimate scaling of DLA in two dimensions
Robin C. Ball, Neill E. Bowler, Leonard M. Sander +1
Off-lattice DLA clusters grown with different levels of noise reduction are found to be consistent with a simple fractal fixed point. Cluster shapes and their ensemble variation ex…
Firewalls, Disorder, and Percolation in Epidemics
C. P. Warren, L. M. Sander, I. M. Sokolov
We consider a spatial model related to bond percolation for the spread of a disease that includes variation in the susceptibility to infection. We work on a lattice with random bon…
Strain in heteroepitaxial growth
E. Somfai, L. M. Sander
We use atomistic simulations with an empirical potential (EAM) to study the elastic effects of heteroepitaxial islands on adatom diffusion. We measure the diffusion barrier on pure…