Universality Classes of Percolation Processes: Renormalization Group Approach

Autor: Michal Hnatič, Juha Honkonen, Tomáš Lučivjanský, Lukáš Mižišin
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Symmetry, Vol 15, Iss 9, p 1696 (2023)
Druh dokumentu: article
ISSN: 2073-8994
14978423
DOI: 10.3390/sym15091696
Popis: Complex systems of classical physics in certain situations are characterized by intensive fluctuations of the quantities governing their dynamics. These include important phenomena such as (continuous) second-order phase transitions, fully developed turbulence, magnetic hydrodynamics, advective–diffusive processes, the kinetics of chemical reactions, percolation, and processes in financial markets. The theoretical goal of the study of such systems is to determine and predict the temporal and spatial dependence of statistical correlations of fluctuating variables. Modern methods of quantum field theory, originally developed in high-energy physics to describe the properties of elementary particles, allow for quantitative analysis of such correlations. Peculiarities of quantum field theory in solving two paradigmatic statistical problems related to percolation are reviewed, and new results on calculating representative universal parameters such as critical exponents that describe asymptotic behavior are presented.
Databáze: Directory of Open Access Journals
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