Graph theory and algebraic topology in the study of phase diagrams of multi-component condensed systems

Based on a constructive generalization of the results of works on the topology of phase diagrams of multi-component condensed systems, the contribution of these studies to the general theory of phase diagrams is presented. General fundamental specific features characteristic of certain classes of di...

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Bibliographic Details
Published in:Russian chemical bulletin 2024-04, Vol.73 (4), p.751-760
Main Author: Shestakov, V. A.
Format: Article
Language:English
Subjects:
Chemistry
Chemistry and Materials Science
Chemistry/Food Science
Graph theory
Inorganic Chemistry
Organic Chemistry
Phase diagrams
Reviews
Topology
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Summary:Based on a constructive generalization of the results of works on the topology of phase diagrams of multi-component condensed systems, the contribution of these studies to the general theory of phase diagrams is presented. General fundamental specific features characteristic of certain classes of diagrams were identified as a result of the systematic study of this topology. The topology of subsolidus isobaric-isothermal phase diagrams, as well as melting diagrams, is considered. This review can be useful for the formulation and solution of new problems in the study of phase diagrams of multi-component systems.
ISSN:1066-5285
1573-9171
DOI:10.1007/s11172-024-4190-1