Bifurcation Analysis of Liesegang Ring Pattern Formation

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

Phys. Rev. Lett. 92, 088301 – Published 24 February 2004

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.

Received 3 June 2003

DOI:https://doi.org/10.1103/PhysRevLett.92.088301

Authors & Affiliations

M. I. Lebedeva¹, D. G. Vlachos^1,*, and M. Tsapatsis²

¹Department of Chemical Engineering and Center for Catalytic Science and Technology, University of Delaware, Newark, Delaware 19716-3110, USA
²Department of Chemical Engineering, University of Massachusetts–Amherst, Amherst, Massachusetts 01003-3110, USA

^*Corresponding author.

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Vol. 92, Iss. 8 — 27 February 2004

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