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Enslaved Phase-Separation Fronts and Liesegang Pattern Formation

Published online by Cambridge University Press:  20 August 2015

E. M. Foard  and
A. J. Wagner
E. M. Foard*
Affiliation:
Department of Physics, North Dakota State University, Fargo, ND 58105, USA
A. J. Wagner*
Affiliation:
Department of Physics, North Dakota State University, Fargo, ND 58105, USA
*
Corresponding author.Email:eric.foard@ndsu.edu
Email:alexander.wagner@ndsu.edu
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Abstract

We show that an enslaved phase-separation front moving with diffusive speeds can leave alternating domains of increasing size in their wake. We find the size and spacing of these domains is identical to Liesegang patterns. For equal composition of the components we are able to predict the exact form of the pattern analytically. To our knowledge this is the first fully analytical derivation of the Liesegang laws. We also show that there is a critical value for C below which only two domains are formed. Our analytical predictions are verified by numerical simulations using a lattice Boltzmann method.

Keywords

35B3665Z0574S3076T99Liesegangphase separationfrontreaction diffusionpattern formationlattice BoltzmannMatalon-Packter
Type
Research Article
Information
Communications in Computational Physics , Volume 9 , Issue 5 , May 2011 , pp. 1081 - 1093
Copyright
Copyright © Global Science Press Limited 2011

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