Volume 9, Issue 5
Enslaved Phase-separation Fronts and Liesegang Pattern Formation

E. M. Foard & A. J. Wagner

Commun. Comput. Phys., 9 (2011), pp. 1081-1093.

Published online: 2011-05

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  • Abstract

We show that an enslaved phase-separation front moving with diffusive speeds U =C/ √ T 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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@Article{CiCP-9-1081, author = {E. M. Foard and A. J. Wagner}, title = {Enslaved Phase-separation Fronts and Liesegang Pattern Formation}, journal = {Communications in Computational Physics}, year = {2011}, volume = {9}, number = {5}, pages = {1081--1093}, abstract = {

We show that an enslaved phase-separation front moving with diffusive speeds U =C/ √ T 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.101109.020910s}, url = {http://global-sci.org/intro/article_detail/cicp/7537.html} }
TY - JOUR T1 - Enslaved Phase-separation Fronts and Liesegang Pattern Formation AU - E. M. Foard & A. J. Wagner JO - Communications in Computational Physics VL - 5 SP - 1081 EP - 1093 PY - 2011 DA - 2011/05 SN - 9 DO - http://dor.org/10.4208/cicp.101109.020910s UR - https://global-sci.org/intro/cicp/7537.html KW - AB -

We show that an enslaved phase-separation front moving with diffusive speeds U =C/ √ T 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.

E. M. Foard & A. J. Wagner. (1970). Enslaved Phase-separation Fronts and Liesegang Pattern Formation. Communications in Computational Physics. 9 (5). 1081-1093. doi:10.4208/cicp.101109.020910s
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