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• W2008249551 startingPage "2693" @default.
• W2008249551 abstract "The approach to equilibrium of ordered superlattice structures on surfaces is analyzed. Both Monte Carlo methods as well as analytic models of interacting domain walls are used to study the kinetics of quenched, two-dimensional systems with $Q$ degenerate equilibrium states. In particular, the growth of long-range order in the magnetic analogs ($Q$-component Potts models) of the commensurate superlattice structures found on surfaces is analyzed in a study of the kinetics of typical domain geometries that are found when systems are quenched from high (disordered state) to low temperatures. Calculations and simulations of the time and temperature dependence of the domain sizes for the model system of isolated domains indicate that for two dimensions roughening fluctuations of the domain walls strongly influence the grain growth kinetics. Strip-shaped domains approach equilibrium almost entirely through these fluctuations, while circular domains shrink due to deterministic curvature, but with a rate that is strongly temperature dependent even for temperatures outside the critical region. Pinning effects in systems with $Qensuremath{ge}3$ lead to extremely slow kinetics for particular domain geometries. Low-temperature quenches on a triangular lattice indicate that these pinned geometries are rarely nucleated, while quenches on a square lattice equilibrate much more slowly due to pinning. The application of the theory to superlattice grain growth on surfaces is discussed in the following paper which presents results for the kinetics of quenched systems in terms of the simple domain geometries examined here." @default.
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• W2008249551 date "1983-09-01" @default.
• W2008249551 modified "2023-10-10" @default.
• W2008249551 title "Kinetics of ordering in two dimensions. I. Model systems" @default.
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• W2008249551 doi "https://doi.org/10.1103/physrevb.28.2693" @default.
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