Anisotropy in turbulent flows and in turbulent transport

L Biferale, I Procaccia - Physics Reports, 2005 - Elsevier
The problem of anisotropy and its effects on the statistical theory of high Reynolds number
(Re) turbulence (and turbulent transport) is intimately related and intermingled with the …

Fronts in passive scalar turbulence

A Celani, A Lanotte, A Mazzino, M Vergassola - Physics of Fluids, 2001 - pubs.aip.org
The evolution of scalar fields transported by turbulent flow is characterized by the presence
of fronts, which rule the small-scale statistics of scalar fluctuations. With the aid of numerical …

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 …

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 …

Passive advection of a vector field: Anisotropy, finite correlation time, exact solution, and logarithmic corrections to ordinary scaling

NV Antonov, NM Gulitskiy - Physical Review E, 2015 - APS
In this work we study the generalization of the problem considered in [Phys. Rev. E 91,
013002 (2015) PLEEE8 1539-3755 10.1103/PhysRevE. 91.013002] to the case of 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 …

Logarithmic violation of scaling in strongly anisotropic turbulent transfer of a passive vector field

NV Antonov, NM Gulitskiy - Physical Review E, 2015 - APS
Inertial-range asymptotic behavior of a vector (eg, magnetic) field, passively advected by a
strongly anisotropic turbulent flow, is studied by means of the field-theoretic renormalization …

Anomalous scaling of passive scalar fields advected by the Navier-Stokes velocity ensemble: Effects of strong compressibility and large-scale anisotropy

NV Antonov, MM Kostenko - Physical Review E, 2014 - APS
The field theoretic renormalization group and the operator product expansion are applied to
two models of passive scalar quantities (the density and the tracer fields) advected by a …