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Topological Modeling of Characteristic Features of Structure Formation Kinetics in Disperse Systems

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Abstract:

The processes of structure formation in hardening disperse systems are considered from the standpoint of synergetics and catastrophe theory.It is proposed to use a topological approach to identify general patterns of behavior of such systems, based on the possibility of modeling the transition of smooth quantitative changes into radical qualitative ones. Based on the analysis of literary data, a group of curves of the structure formation kinetics is identified, the extreme form of which reproduces the geometry of the simplest catastrophe «fold».Spatial models describing the kinetics of dispersion hardening are constructed and analyzed. It is shown that the agreement between the experimental and model kinetic curves is expressed not only in the external similarity of the nature of the dependencies, but also in their logical generalization.It is noted that the canonical «fold» model can also be effectively applied in the study of anomalousrheological behavior of dispersed systems.

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Periodical:

Materials Science Forum (Volume 1170)

Pages:

105-110

DOI:

https://doi.org/10.4028/p-NSV3qw

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Online since:

December 2025

Authors:

Larysa Trofimova*

Keywords:

Catastrophe Theory, Disperse Systems, Kineticand Rheological Curves, Standard Model «Fold», Structure Formation, Synergetics, Topological Approach

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© 2025 Trans Tech Publications Ltd. All Rights Reserved

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