Models of Liesegang pattern formation


Izsák, Ferenc and Lagzi, István (2010) Models of Liesegang pattern formation. In: István Lagzi (Ed.), Precipitation Patterns in Reaction-Diffusion Systems. Research Signpost, Kerala, India, pp. 207-217. ISBN 9788130804200

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Abstract:In this article different mathematical models of the Liesegang phenomenon are exhibited. The main principles of modeling are discussed such as supersaturation theory, sol coagulation and phase separation, which describe the phenomenon using different steps and mechanism beyond the simple reaction scheme. We discuss whether the underlying numerical simulations are able to reproduce several empirical regularities and laws of the corresponding pattern structure. In all cases we highlight the meaning of the initial and boundary conditions in the corresponding mathematical formalism. Above the deterministic ones discrete stochastic approaches are also described. As a main tool for the control of pattern structure the effect of an external electric field is also discussed.
Item Type:Book Section
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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