Renormalization group, operator expansion, and anomalous scaling in a simple model of turbulent diffusion

DOI10.1007/BF02557413zbMath0966.76033OpenAlexW1982385914MaRDI QIDQ1567825

N. V. Antonov, A. N. Vasil'ev, Loran Ts. Adzhemyan

Publication date: 16 August 2001

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02557413

zbMATH Keywords

renormalization group methodcomposite operatorscorrelatorintermixingObukhov-Kraichnan modeloperator expansionanomalous exponentslocal dissipation ratenegative critical dimensionspassive scalar admixturerandom Gaussian field of velocities

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) Renormalization and other field-theoretical methods for turbulence (76F30)

Related Items (6)

Anomalous scaling in the kazantsev-kraichnan model with finite time correlations: two-loop renormalization group analysis of relevant composite operators ⋮ A general vector field coupled to a strongly compressible turbulent flow ⋮ COMBINED EFFECTS OF SMALL SCALE ANISOTROPY AND COMPRESSIBILITY ON ANOMALOUS SCALING OF A PASSIVE SCALAR ⋮ Phase transition in the passive scalar advection ⋮ Turbulence theories and statistical closure approaches ⋮ Anomalous scaling in the model of turbulent advection of a vector field

Cites Work

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• Anomalous scaling regimes of a passive scalar advected by the synthetic velocity field
• Multifractals, operator-product expansion, and field theory
• A similarity solution for the Direct Interaction Approximation and its relationship to renormalization-group analyses of turbulence
• Kolmogorov's Hypotheses and Eulerian Turbulence Theory
• Small-Scale Structure of a Scalar Field Convected by Turbulence

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