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- W2023375780 abstract "The propagation of a solidification front in a two-dimensional binary alloy is studied by Monte Carlo simulations. A random atomic configuration is quenched and the atoms that prefer to be in the liquid phase act as quenched pinning centers to the advancing solidification front. For a system with large kink formation energy $ensuremath{epsilon}$ and finite system width N, we show that the liquidus and solidus lines in the equilibrium phase diagram correspond to pinning-depinning transition lines, like in a one-dimensional system. In the one-phase region the front is depinned and propagates steadily, whereas in the two-phase region it is pinned and the velocity $v$ decays as time t passes with a power-law behavior $v(t)ensuremath{sim}{t}^{ensuremath{nu}ensuremath{-}1},$ with $ensuremath{nu}<1.$ For a moderate $ensuremath{epsilon}$ or for a large width N, the pinning transition is smeared out and the front propagates steadily even in the two-phase region by thermal creep. When the driving force H is small, the velocity $v$ decays exponentially with $ensuremath{epsilon}$ and ${H}^{ensuremath{-}1}.$ The size dependence is interpreted in terms of the height correlation." @default.
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- W2023375780 date "1999-01-01" @default.
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- W2023375780 title "Creep motion of a solidification front in a two-dimensional binary alloy" @default.
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- W2023375780 doi "https://doi.org/10.1103/physreve.59.512" @default.
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