Physical Review Letters · 2000 · 201 citations · 23 references
Natural SciencesMaterials SciencePhysicsCondensed Matter PhysicsSolid State PhysicsSurface ScienceDiffusion In SolidsNucleationNucleation ThermodynamicsPhase TransitionsSurface DiffusionSurface PhysicsAtomic DiffusionAtomic Surface DiffusionCluster NucleationCrystal NucleationCrystal Nucleation KineticsKinetic Monte CarloKinetic Monte Carlo ModelingSurface Roughening
What are the mechanisms leading to the shape relaxation of three-dimensional crystallites? Kinetic Monte Carlo simulations of fcc clusters show that the usual theories of equilibration, via atomic surface diffusion driven by curvature, are verified only at high temperatures. Below the roughening temperature, the relaxation is much slower, kinetics being governed by the nucleation of a critical germ on a facet. We show that the energy barrier for this step linearly increases with the size of the crystallite, leading to an exponential dependence of the relaxation time.
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<i>Introduction to Modern Statistical Mechanics</i>
David Chandler, J. K. Percus · Physics Today · 1988 · 2K citations
Step Motion on Crystal Surfaces
Richard L. Schwoebel, Edward J. Shipsey · Journal of Applied Physics · 1966 · 1.6K citations
Some Theorems on the Free Energies of Crystal Surfaces
Conyers Herring · Physical Review · 1951 · 1.6K citations
Natural Sciences, Chemistry, Physics +17