Phase transition as an emergent phenomenon analysed by violation of structural invariant (M, BM)

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F20%3A00345352" target="_blank" >RIV/68407700:21220/20:00345352 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.13164/mendel.2020.2.045" target="_blank" >https://doi.org/10.13164/mendel.2020.2.045</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.13164/mendel.2020.2.045" target="_blank" >10.13164/mendel.2020.2.045</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Phase transition as an emergent phenomenon analysed by violation of structural invariant (M, BM)

Popis výsledku v původním jazyce

When 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.

Název v anglickém jazyce

Phase transition as an emergent phenomenon analysed by violation of structural invariant (M, BM)

Popis výsledku anglicky

When 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.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

MENDEL - Soft Computing Journal

ISSN

1803-3814

e-ISSN

—

Svazek periodika

26

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

6

Strana od-do

45-50

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85098276526