Conditions for the critical phenomena in a dynamic model of an electrocatalytic reaction

In the paper, a detailed study of the critical phenomena mechanism in a model of an electrocatalytic reaction is carried out. The use of the geometric theory of integral manifolds allows us to show the relationship between the critical regime and the stability loss delay of the slow integral manifol...

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Bibliographic Details
Published in:Journal of physics. Conference series 2017-02, Vol.811 (1), p.12002
Main Authors: Firstova, Natalia, Shchepakina, Elena
Format: Article
Language:English
Subjects:
Critical phenomena
Dynamic models
Integrals
Physics
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Summary:In the paper, a detailed study of the critical phenomena mechanism in a model of an electrocatalytic reaction is carried out. The use of the geometric theory of integral manifolds allows us to show the relationship between the critical regime and the stability loss delay of the slow integral manifold of the corresponding differential system. The asymptotic formula for the critical value of the control parameter is obtained.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/811/1/012002