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- W4306254007 abstract "We study the growth of a periodic pattern in one dimension for a model of spinodal decomposition, the Cahn-Hilliard equation. We particularly focus on the intermediate region, where the non-linearity cannot be negected anymore, and before the coalescence dominates. The dynamics is captured through the standard technique of a solubility condition performed over a particular family of quasi-static solutions. The main result is that the dynamics along this particular class of solutions can be expressed in terms of a simple ordinary differential equation. The density profile of the stationary regime found at the end of the non-linear growth is also well characterized. Numerical simulations correspond satisfactorily to the analytical results through three different methods and asymptotic dynamics are well recovered, even far from the region where the approximations hold." @default.
- W4306254007 created "2022-10-15" @default.
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- W4306254007 date "2000-11-14" @default.
- W4306254007 modified "2023-09-26" @default.
- W4306254007 title "Non-linear growth of periodic patterns" @default.
- W4306254007 doi "https://doi.org/10.48550/arxiv.cond-mat/0011238" @default.
- W4306254007 hasPublicationYear "2000" @default.
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