Phase Transition as an Emergent Phenomenon Analysed by Violation of Structural Invariant (M, BM)

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dc.contributor.authorBila, Jiri
dc.contributor.authorReshak, Ali H
dc.contributor.authorChysky, Jan
dc.coverage.issue2cs
dc.coverage.volume26cs
dc.date.accessioned2021-08-10T11:28:32Z
dc.date.available2021-08-10T11:28:32Z
dc.date.issued2020-12-21cs
dc.description.abstractWhen modeling complex systems, we usually encounter the following difficulties: partiality, large amounts of data and uncertainty of conclusions. The most common approach used for modeling is the physical approach, sometimes reinforced by statistical procedures. If we assume emergences in the complex system, a physical approach is not appropriate at all. Instead, we build here the approach of structural invariants. In this paper, we show that another plane can be built above the plane of physical description, which is responsible for violation of structural invariants. Main attention is concentrated (in this article) on the invariant matroid and bases of matroid (M, BM) in combination with Ramsey graph theory. In addition, the article introduces a calculus that describes the emergent phenomena using two quantities - the power of the emergent phenomenon and the complexity of the structure of the considered complex system. We show the application of the method for modeling phase transition in chemistry.en
dc.formattextcs
dc.format.extent45-50cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMendel. 2020 vol. 26, č. 2, s. 45-50. ISSN 1803-3814cs
dc.identifier.doi10.13164/mendel.2020.2.045en
dc.identifier.issn2571-3701
dc.identifier.issn1803-3814
dc.identifier.urihttp://hdl.handle.net/11012/200932
dc.language.isoencs
dc.publisherInstitute of Automation and Computer Science, Brno University of Technologycs
dc.relation.ispartofMendelcs
dc.relation.urihttps://mendel-journal.org/index.php/mendel/article/view/119cs
dc.rightsCreative Commons Attribution-NonCommercial-ShareAlike 4.0 International licenseen
dc.rights.accessopenAccessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0en
dc.subjectModeling of complex systemsen
dc.subjectstructural invarianten
dc.subjectmatroiden
dc.subjectmatroid basesen
dc.subjectRamsey theory of graphen
dc.subjectphase transitionen
dc.titlePhase Transition as an Emergent Phenomenon Analysed by Violation of Structural Invariant (M, BM)en
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.facultyFakulta strojního inženýrstvícs
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Vol. 26, No. 2