This article is cited in 1 scientific paper (total in 1 paper)
Influence of finite-time velocity correlations on scaling properties of the magnetic field in the Kazantsev–Kraichnan model: Two-loop renormalization group analysis
Abstract:
Using the field theory renormalization group method and the operator product expansion technique in the two-loop approximation, we investigate the influence of the finite-time correlations of a turbulent velocity field on the anomalous scaling behavior of the single-time two-point correlation functions of the passive magnetic field in the framework of the generalized kinematic Kazantsev–Kraichnan model with the presence of large-scale anisotropy in the three-dimensional case. We briefly discuss the scaling regimes of the model and find two-loop expressions for the anomalous dimensions of the leading composite operators in the operator product expansion as explicit functions of the parameter determining the finite-time correlations of the velocity field in the studied model. We show that the anomalous dimensions of the composite operators near the isotropic shell play a central role in the scaling properties of the model and this allows uniquely determining the two-loop expressions for the scaling exponents of all single-time two-point correlation functions of the magnetic field that drive their scaling properties deep inside the inertial interval. We show that the presence of the finite-time correlations of the velocity field leads to a significantly more pronounced anomalous scaling of the magnetic correlation functions compared with the standard Kazantsev–Kraichnan rapid-change model with the δ-time correlated Gaussian velocity field.
This research was supported by VEGA (Grant
Nos. 2/0065/17, 2/0058/19, and APVV-17-0020) and the realization of the project ITMS No. 26220120029 based on the supporting operational Research
and Development Program financed from the European Regional Development
Fund.
Citation:
E. Jurčišinová, M. Jurčišin, M. Menkyna, “Influence of finite-time velocity correlations on scaling properties of the magnetic field in the Kazantsev–Kraichnan model: Two-loop renormalization group analysis”, TMF, 200:2 (2019), 234–249; Theoret. and Math. Phys., 200:2 (2019), 1126–1138
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This publication is cited in the following 1 articles:
E. Jurcisinova, M. Jurcisin, M. Menkyna, R. Remecky, “Evidence for enhancement of anisotropy persistence in kinematic magnetohydrodynamic turbulent systems with finite-time correlations”, Phys. Rev. E, 104:1 (2021), 015101