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- W1965101403 abstract "The coarsening process in decomposing alloys is studied within the one-dimensional (1D) Cahn-Hilliard model using both the analytical and numerical methods. We have developed the analytical approach based on the solitonlike description of interacting phase boundaries and obtained the equations of their motion. For a single 1D nucleus in the infinite medium the equation of the interface motion appears to be essentially nonlocal in time. The peculiarities of the dynamic behavior of this system are studied for an arbitrary initial nucleus size ${mathrm{a}}_{0}$. For ${mathrm{a}}_{0}$${mathrm{a}}_{mathrm{c}}$ensuremath{sim}ln(1/h) the characteristic time scale of the nucleus dissolution is found as a function of ${mathrm{a}}_{0}$ and the supersaturation h in the system. In the limit ${mathrm{a}}_{0}$ensuremath{gg}:${mathrm{a}}_{mathrm{c}}$ we obtained the well-known square-root dependence of the nucleus size aensuremath{sim}h$sqrt{t}$. The late stage of the spinodal decomposition in multilayered structures has been investigated. The specific features of the period doubling process are studied." @default.
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- W1965101403 date "1997-03-01" @default.
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- W1965101403 title "Nonlinear relaxation dynamics in decomposing alloys: One-dimensional Cahn-Hilliard model" @default.
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- W1965101403 doi "https://doi.org/10.1103/physrevb.55.6316" @default.
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