From nonlinear reaction-diffusion processes to permanent microscale structures
| Autor: | Arash Azhand, Pamela Knoll, Harald Engel, Oliver Steinbock, Anne-Kathleen Malchow |
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| Rok vydání: | 2019 |
| Předmět: |
Materials science
Precipitation (chemistry) Applied Mathematics General Physics and Astronomy Statistical and Nonlinear Physics Microstructure Space (mathematics) 01 natural sciences 010305 fluids & plasmas Nonlinear system Chemical physics Product (mathematics) 0103 physical sciences Reaction–diffusion system Crystallite 010306 general physics Mathematical Physics Microscale chemistry |
| Zdroj: | Chaos (Woodbury, N.Y.). 29(5) |
| ISSN: | 1089-7682 |
| Popis: | Biomorphs are polycrystalline aggregates that self-assemble during inorganic precipitation reactions. The shape repertoire of these microstructures include hemispherical objects with complicated internal features such as radial spikes and cones as well as folded sheets reminiscent of corals. We propose that at the microscale, some of these patterns are caused by nonlinear reaction-diffusion processes and present a simple model for this unconventional type of precipitation. The model consists of three reaction steps that convert a reactant species autocatalytically into an intermediate and eventually into a solid, immobile product. Numerical simulations of the model in three space dimensions reveal product structures that are similar to the experimentally observed biomorphs. |
| Databáze: | OpenAIRE |
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