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Abstract:
We introduce an algorithm for treating growth on surfaces which combines
important features of continuum methods and Kinetic Monte Carlo (KMC)
simulations. We treat the motion of adatoms in continuum theory, but attach them
to islands one atom at a time. Our method allows us to give a realistic account
of fluctuations in island shape, which is lacking in deterministic continuum
treatments and which is an important physical effect. Our method should be most
important for problems close to equilibrium where KMC becomes impractically
slow.
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