| Автор | J Los |
| Автор | P Bennema |
| Автор | P H J van Dam |
| Автор | W J P van Enckevort |
| Автор | F A Hollander |
| Автор | C N M Keulemans |
| Дата выпуска | 2000-04-03 |
| dc.description | We present a continuum model for diffusion-limited non-dense growth. Our approach leads to a set of two coupled partial differential equations which describe the time evolution of the (spherically) averaged aggregation density and concentration of growth units in the liquid phase. For time-independent parameters the solution of the equations yields a constant (non-fractal) aggregation density. The model gives a phenomenological description of non-fractal unstable growth, e.g. non-fractal spherulitic growth, on a macroscopic scale in terms of a minimal number of parameters and can be used in combination with experimental data, such as the front velocity and the width of the growth front, for both a qualitative and quantitative interpretation of the growth process. The analytical solution of the equations in the diffusion-limited regime leads to simple relations involving the aggregation density and the velocity and width of the growth front. This allows for an easy quantitative analysis of experimental data. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | A continuum model for non-dense growth |
| Тип | paper |
| DOI | 10.1088/0953-8984/12/13/325 |
| Electronic ISSN | 1361-648X |
| Print ISSN | 0953-8984 |
| Журнал | Journal of Physics: Condensed Matter |
| Том | 12 |
| Первая страница | 3195 |
| Последняя страница | 3217 |
| Выпуск | 13 |
