On the Keller–Rubinow model for Liesegang ring formation | Zendy

J. M. Duley | Zendy; A. C. Fowler | Zendy; Iain R. Moyles | Zendy; S. O’Brien | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On the Keller–Rubinow model for Liesegang ring formation

Author(s) -

J. M. Duley,

A. C. Fowler,

Iain R. Moyles,

S. O’Brien

Publication year - 2017

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2017.0128

Subject(s) - supersaturation , nucleation , limit (mathematics) , computation , parametric statistics , statistical physics , ring (chemistry) , basis (linear algebra) , physics , mathematics , chemistry , mathematical analysis , thermodynamics , geometry , algorithm , statistics , organic chemistry

We study the model of Keller and Rubinow (1981) describing the formationof Liesegang rings due to Ostwald's supersaturation mechanism. Keller andRubinow provided an approximate solution both for the growth and equilibra-tion of the first band, and also for the formation of secondary bands, basedon a presumed asymptotic limit. However, they did not provide a parametricbasis for the assumptions in their solution, nor did they provide any numericalcorroboration, particularly of the secondary band formation. Here we provide adifferent asymptotic solution, based on a specific parametric limit, and we showthat the growth and subsequent cessation of the first band can be explained.We also show that the model is unable to explain the formation of finite widthsecondary bands, and we confirm this result by numerical computation. Weconclude that the model is not fully posed, lacking a transition variable whichcan describe the hysteretic switch across the nucleation threshold

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research