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JOURNALS // Nanosystems: Physics, Chemistry, Mathematics // Archive

Nanosystems: Physics, Chemistry, Mathematics, 2022 Volume 13, Issue 4, Pages 365–371 (Mi nano1118)

This article is cited in 1 paper

MATHEMATICS

On Keller–Rubinow model for Liesegang structure formation

Timur N. Topaev, Anton I. Popov, Igor Yu. Popov

ITMO University, St. Petersburg, 197101, Russia

Abstract: We consider a chemical process, the precipitate of which will be represented by a structure in the form of rings. The study and modeling of this process is relevant, since it becomes possible to form micro- and nanostructures based on this approach. We consider the version of the one-dimensional model of Keller and Rubinow which describes the formation of Liesegang rings due to the Ostwald supersaturation. The dependencies of the results obtained on the initial conditions and the model parameters were studied numerically.

Keywords: nanostructures, Liesegang rings, Keller–Rubinow model, chemical reaction modeling.

Received: 07.05.2022
Revised: 15.07.2022
Accepted: 31.07.2022

Language: English

DOI: 10.17586/2220-8054-2022-13-4-365-371



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© Steklov Math. Inst. of RAS, 2026