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We present a unified description of interface kinetic effects in phase fieldmodels for isothermal transformations in binary alloys and steps dynamics inmolecular-beam-epitaxy. The phase field equations of motion incorporate akinetic cross-coupling between the phase field and the concentration field.This cross coupling generalizes the phenomenology of kinetic effects and wasomitted until recently in classical phase field models. We derive generalexpressions (independent of the details of the phase field model) for thekinetic coefficients within the corresponding macroscopic approach using aphysically motivated reduction procedure. The latter is equivalent to theso-called thin interface limit but is technically simpler. It involves thecalculation of the effective dissipation that can be ascribed to the interfacein the phase field model. We discuss in details the possibility of a nonpositive definite matrix of kinetic coefficients, i.e. a negative effectiveinterface dissipation, although being in the range of stability of theunderlying phase field model. Numerically, we study the step-bunchinginstability in molecular-beam-epitaxy due to the Ehrlich-Schwoebel effect,present in our model due to the cross-coupling. Using the reduction procedurewe compare the results of the phase field simulations with the analyticalpredictions of the macroscopic approach.

Interface kinetics in phase field models: isothermal transformations in binary alloys and steps dynamics in molecular-beam-epitaxy