Renormalization group, operator product expansion and anomalous scaling in models of turbulent advection

NV Antonov - Journal of Physics A: Mathematical and General, 2006 - iopscience.iop.org
Recent progress on the anomalous scaling in models of turbulent heat and mass transport is
reviewed with the emphasis on the approach based on the field-theoretic renormalization …

Turbulence with pressure: Anomalous scaling of a passive vector field

NV Antonov, M Hnatich, J Honkonen, M Jurčišin - Physical Review E, 2003 - APS
The field theoretic renormalization group (RG) and the operator-product expansion are
applied to the model of a transverse (divergence-free) vector quantity, passively advected by …

Calculation of the anomalous exponents in the rapid-change model of passive scalar advection to order ɛ 3

LT Adzhemyan, NV Antonov, VA Barinov, YS Kabrits… - Physical Review E, 2001 - APS
The field theoretic renormalization group and operator product expansion are applied to the
model of a passive scalar advected by the Gaussian velocity field with zero mean and …

Emergence of long-range correlations and thermal spectra in forced turbulence

DN Hosking, AA Schekochihin - Journal of Fluid Mechanics, 2023 - cambridge.org
Recent numerical studies have shown that forced, statistically isotropic turbulence develops
a 'thermal-equilibrium'spectrum, spectrum arise as a result of the turbulent diffusion of linear …

Anomalous scaling of a passive scalar advected by the turbulent velocity field with finite correlation time: Two-loop approximation

LT Adzhemyan, NV Antonov, J Honkonen - Physical Review E, 2002 - APS
The renormalization group and operator product expansion are applied to the model of a
passive scalar quantity advected by the Gaussian self-similar velocity field with finite, and …

Renormalization-group approach to the stochastic Navier–Stokes equation: Two-loop approximation

LT Adzhemyan, NV Antonov… - … Journal of Modern …, 2003 - World Scientific
The field theoretic renormalization group is applied to the stochastic Navier–Stokes equation
that describes fully developed fluid turbulence in d> 2 dimensions. For the first time, the …

Anomalous scaling of a passive scalar advected by the Navier-Stokes velocity field: Two-loop approximation

LT Adzhemyan, NV Antonov, J Honkonen… - Physical Review E …, 2005 - APS
The field theoretic renormalization group and operator-product expansion are applied to the
model of a passive scalar quantity advected by a non-Gaussian velocity field with finite …

Anomalous scaling of the magnetic field in the Kazantsev–Kraichnan model

E Jurčišinova, M Jurčišin - Journal of Physics A: Mathematical …, 2012 - iopscience.iop.org
Using the field theoretic renormalization group technique and the operator-product
expansion, the problem of anomalous scaling in magnetohydrodynamic turbulence is …

Anomalous scaling in kinematic magnetohydrodynamic turbulence: Two-loop anomalous dimensions of leading composite operators

E Jurčišinová, M Jurčišin, R Remecký - Physical Review E, 2023 - APS
Using the field theoretic formulation of the kinematic magnetohydrodynamic turbulence, the
explicit expressions for the anomalous dimensions of leading composite operators, which …

Anomalous scaling of passively advected magnetic field in the presence of strong anisotropy

M Hnatich, J Honkonen, M Jurcisin, A Mazzino… - Physical Review E …, 2005 - APS
Inertial-range scaling behavior of high-order (up to order N= 51) two-point correlation
functions of a passively advected vector field has been analyzed in the framework of the …