Bifurcation Analysis of Liesegang Ring Pattern Formation

M. I. Lebedeva; D. G. Vlachos; M. Tsapatsis

doi:10.1103/PhysRevLett.92.088301

Bifurcation Analysis of Liesegang Ring Pattern Formation

M. I. Lebedeva, D. G. Vlachos, M. Tsapatsis

Chemical Engineering and Materials Science

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

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.

Original language	English (US)
Journal	Physical Review Letters
Volume	92
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevLett.92.088301
State	Published - Jan 1 2004

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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.",

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