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Parametric links among Monte Carlo, phase-field, and sharp-interface models of interfacial motion

2002; American Physical Society; Volume: 66; Issue: 6 Linguagem: Inglês

10.1103/physreve.66.061603

1538-4519

Pu Liu, Mark T. Lusk,

Theoretical and Computational Physics

Parametric links are made among three mesoscale simulation paradigms: phase-field, sharp-interface, and Monte Carlo. A two-dimensional, square lattice, 1/2 Ising model is considered for the Monte Carlo method, where an exact solution for the interfacial free energy is known. The Monte Carlo mobility is calibrated as a function of temperature using Glauber kinetics. A standard asymptotic analysis relates the phase-field and sharp-interface parameters, and this allows the phase-field and Monte Carlo parameters to be linked. The result is derived without bulk effects but is then applied to a set of simulations with the bulk driving force included. An error analysis identifies the domain over which the parametric relationships are accurate.