Bifurcation analysis of Liesegang ring pattern formation |
| |
| Authors: | Lebedeva M I Vlachos D G Tsapatsis M |
| |
| Institution: | Department of Chemical Engineering and Center for Catalytic Science and Technology, University of Delaware, Newark, Delaware 19716-3110, USA. |
| |
| Abstract: | Bifurcation analysis is introduced to a prototype Liesegang ring (LR) model to explain pattern formation as an instability of a propagating plane reaction front. A theoretical criterion for the onset of patterning is derived and numerically tested. The uneven spacing law of LR bands is explained as a consequence of the time varying velocity of the moving reaction front. Suggestions for controlling pattern formation are provided. |
| |
| Keywords: | |
| 本文献已被 PubMed 等数据库收录！ |
|
