Renormalization Analysis of Magnetohydrodynamics: Two-Loop Approximation

Autor: Michal Hnatič, Tomáš Lučivjanský, Lukáš Mižišin, Yurii Molotkov, Andrei Ovsiannikov
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Universe, Vol 10, Iss 6, p 240 (2024)
Druh dokumentu: article
ISSN: 2218-1997
DOI: 10.3390/universe10060240
Popis: We investigate the stochastic version of the paradigmatic model of magnetohydrodynamic turbulence. The model can be interpreted as an active vector admixture subject to advective processes governed by turbulent flow. The back influence on fluid dynamics is explicitly taken into account. The velocity field is generated through a fully developed turbulent flow taking into account the violation of spatial parity, which is introduced through the helicity parameter ρ. We consider a generalized setup in which parameter A is introduced in model formulation, which is associated with the interaction part of the model, and its actual value represents different physical systems. The model is analyzed by means of the field-theoretic renormalization group. The calculation is performed using ε-expansion, where ε is the deviation from the Kolmogorov scaling. Two-loop numerical calculations of the renormalization constant associated with the renormalization of the magnetic field are presented.
Databáze: Directory of Open Access Journals
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