Formation of Liesegang patterns: A spinodal decomposition scenario
T. Antal (1), M. Droz (1), J. Magnin (1), and Z. R\'acz (2) ((1) U. of, Geneva, (2) E\"otv\"os U., Budapest)
TL;DR
This paper proposes a spinodal decomposition mechanism to explain Liesegang pattern formation, deriving band spacing laws and showing agreement with experimental Matalon-Packter law.
Contribution
It introduces a novel spinodal decomposition scenario for Liesegang pattern formation and derives the spacing law parameters in relation to initial reagent concentrations.
Findings
Band positions follow the law x_n~Q(1+p)^n
Parameter p's dependence matches Matalon-Packter law
Parameters p and Q depend on initial reagent concentrations
Abstract
Spinodal decomposition in the presence of a moving particle source is proposed as a mechanism for the formation of Liesegang bands. This mechanism yields a sequence of band positions x_n that obeys the spacing law x_n~Q(1+p)^n. The dependence of the parameters p and Q on the initial concentration of the reagents is determined and we find that the functional form of p is in agreement with the experimentally observed Matalon-Packter law.
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