Parallel Monte Carlo Algorithms for Domain Growth Kinetics

1991 ◽  
Vol 02 (01) ◽  
pp. 468-474
Author(s):  
W. SCHLEIER ◽  
G. BESOLD ◽  
K. HEINZ
Keyword(s):  
Monte Carlo ◽  
Growth Kinetics ◽  
Lattice Gas ◽  
Domain Growth ◽  
Nucleation Process ◽  
Kawasaki Dynamics ◽  
Spatial Correlations ◽  
Monte Carlo Algorithms ◽  
Lattice Gas Models ◽  
Domain Growth Kinetics

We study the applicability of parallelized Monte Carlo algorithms to the simulation of domain growth in 2-dim. lattice gas models after a quench into an ordered phase. Conventional parallelized algorithms with KAWASAKI dynamics introduce artificial spatial correlations into the system. However, only if superstructure domains evolve, these correlations will modify the kinetics by influencing the nucleation process and result in a reduced kinetic exponent. Two improved algorithms with slightly reduced degree of parallelism suitable for simulation of superstructure domain growth are presented and discussed.

Spatial Correlations in Growing Films

2000 ◽  
Vol 619 ◽  
Author(s):  
M.C. Bartelt
Keyword(s):  
Size Distribution ◽  
Lattice Gas ◽  
Mean Field ◽  
Film Deposition ◽  
Nucleation Theory ◽  
Spatial Correlations ◽  
Island Size ◽  
Pit Formation ◽  
Free Region ◽  
Lattice Gas Models

ABSTRACTDetailed analyses of non-equilibrium lattice-gas models of island nucleation and growth during film deposition (or etching) have been invaluable in elucidating basic issues in nucleation theory, deviations from mean-field predictions, and experimental observations. Particularly interesting and useful is the behavior of spatial correlations in the adlayer which develop during island (or pit) formation. In particular, a strong depletion in the population of island pairs at separations smaller than the average follows from depletion in the density of diffusing adspecies near islands. This feature delays percolation of clusters of coalesced islands. Another recently discovered and more subtle feature is a strong correlation between the width of the island-free region surrounding an island and the size and growth rate of that island. This direct correlation between island sizes and separations controls the shape of the island size distribution. If incorporated into rate-equation descriptions, it recovers the exact form of the scaling function for the island size distribution.

scholarly journals Domain-growth kinetics of systems with soft walls

1988 ◽  
Vol 37 (4) ◽  
pp. 2274-2277 ◽  
Author(s):  
Wim van Saarloos ◽  
Martin Grant
Keyword(s):  
Growth Kinetics ◽  
Domain Growth ◽  
Domain Growth Kinetics ◽  
Kinetics Of
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