126 citations · 240 across the 11 of their papers we have counts for
6 papers · 1 filter
The role of discrete-particle noise in the Ostwald ripening
Baruch Meerson, Leonard M. Sander, Peter Smereka
We investigate the role of discrete-particle noise in interface-controlled Ostwald ripening. We introduce the noise within the framework of the Becker-Doering equations, and employ…
A stochastic model for wound healing
Thomas Callaghan, Evgeniy Khain, Leonard M. Sander +1
We present a discrete stochastic model which represents many of the salient features of the biological process of wound healing. The model describes fronts of cells invading a woun…
Dynamics and pattern formation in invasive tumor growth
Evgeniy Khain, Leonard M. Sander
In this work, we study the in-vitro dynamics of the most malignant form of the primary brain tumor: Glioblastoma Multiforme. Typically, the growing tumor consists of the inner dens…
Multiscale Kinetic Monte-Carlo for Simulating Epitaxial Growth
J. P. DeVita, L. M. Sander, P. Smereka
We present a fast Monte-Carlo algorithm for simulating epitaxial surface growth, based on the continuous-time Monte-Carlo algorithm of Bortz, Kalos and Lebowitz. When simulating re…
Island, pit and groove formation in strained heteroepitaxy
M. T. Lung, Chi-Hang Lam, Leonard M. Sander
We study the morphological evolution of strained heteroepitaxial films using a kinetic Monte Carlo method in three dimensions. The elastic part of the problem uses a Green's functi…
Random walks, diffusion limited aggregation in a wedge, and average conformal maps
Leonard M. Sander, Ellak Somfai
We investigate diffusion-limited aggregation (DLA) in a wedge geometry. Arneodo and collaborators have suggested that the ensemble average of DLA cluster density should be close to…