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Enslaved Phase-Separation Fronts and Liesegang Pattern Formation

Enslaved Phase-Separation Fronts and Liesegang Pattern Formation
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Year:    2011

Communications in Computational Physics, Vol. 9 (2011), Iss. 5 : pp. 1081–1093

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.101109.020910s

Communications in Computational Physics, Vol. 9 (2011), Iss. 5 : pp. 1081–1093

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:   

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