Bifurcation Analysis of Liesegang Ring Pattern Formation

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

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
JournalPhysical Review Letters
Volume92
Issue number8
DOIs
StatePublished - Jan 1 2004

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