TY - JOUR
T1 - Spacing distribution functions for the one-dimensional point-island model with irreversible attachment
AU - González, Diego Luis
AU - Pimpinelli, Alberto
AU - Einstein, T. L.
PY - 2011/7/6
Y1 - 2011/7/6
N2 - We study the configurational structure of the point-island model for epitaxial growth in one dimension. In particular, we calculate the island gap and capture zone distributions. Our model is based on an approximate description of nucleation inside the gaps. Nucleation is described by the joint probability density pnXY(x,y), which represents the probability density to have nucleation at position x within a gap of size y. Our proposed functional form for pnXY(x,y) describes excellently the statistical behavior of the system. We compare our analytical model with extensive numerical simulations. Our model retains the most relevant physical properties of the system.
AB - We study the configurational structure of the point-island model for epitaxial growth in one dimension. In particular, we calculate the island gap and capture zone distributions. Our model is based on an approximate description of nucleation inside the gaps. Nucleation is described by the joint probability density pnXY(x,y), which represents the probability density to have nucleation at position x within a gap of size y. Our proposed functional form for pnXY(x,y) describes excellently the statistical behavior of the system. We compare our analytical model with extensive numerical simulations. Our model retains the most relevant physical properties of the system.
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U2 - 10.1103/PhysRevE.84.011601
DO - 10.1103/PhysRevE.84.011601
M3 - Article
C2 - 21867178
AN - SCOPUS:79961113089
SN - 1539-3755
VL - 84
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 1
M1 - 011601
ER -