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000201464 0247_ $$2doi$$a10.1103/PhysRevE.88.022406
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000201464 1001_ $$0P:(DE-Juel1)130562$$aBoussinot, G.$$b0
000201464 245__ $$aInterface kinetics in phase-field models: Isothermal transformations in binary alloys and step dynamics in molecular-beam epitaxy
000201464 260__ $$aCollege Park, Md.$$bAPS$$c2013
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000201464 520__ $$aWe present a unified description of interface kinetic effects in phase-field models for isothermal transformations in binary alloys and steps dynamics in molecular-beam-epitaxy. The phase-field equations of motion incorporate a kinetic cross-coupling between the phase field and the concentration field. This cross-coupling generalizes the phenomenology of kinetic effects and was omitted until recently in classical phase-field models. We derive general expressions (independent of the details of the phase-field model) for the kinetic coefficients within the corresponding macroscopic approach using a physically motivated reduction procedure. The latter is equivalent to the so-called thin-interface limit but is technically simpler. It involves the calculation of the effective dissipation that can be ascribed to the interface in the phase-field model. We discuss in detail the possibility of a nonpositive definite matrix of kinetic coefficients, i.e., a negative effective interface dissipation, although being in the range of stability of the underlying phase-field model. Numerically we study the step-bunching instability in molecular-beam-epitaxy due to the Ehrlich-Schwoebel effect, present in our model due to the cross-coupling. Using the reduction procedure we compare the results of the phase-field simulations with the analytical predictions of the macroscopic approach.
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000201464 7001_ $$0P:(DE-Juel1)130567$$aBrener, Efim$$b1$$eCorresponding Author
000201464 77318 $$2Crossref$$3journal-article$$a10.1103/physreve.88.022406$$bAmerican Physical Society (APS)$$d2013-08-26$$n2$$p022406$$tPhysical Review E$$v88$$x1539-3755$$y2013
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000201464 9132_ $$0G:(DE-HGF)POF3-144$$1G:(DE-HGF)POF3-140$$2G:(DE-HGF)POF3-100$$aDE-HGF$$bForschungsbereich Energie$$lFuture Information Technology - Fundamentals, Novel Concepts and Energy Efficiency (FIT)$$vControlling Collective States$$x0
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