TY - JOUR

T1 - Anomalous scaling in magnetohydrodynamic turbulence: Effects of anisotropy and compressibility in the kinematic approximation

AU - Antonov, N.V.

AU - Kostenko, M.M.

PY - 2015

Y1 - 2015

N2 - The field theoretic renormalization group and the operator product expansion are applied to the model of passive vector (magnetic) field advected by a random turbulent velocity field. The latter is governed by the Navier–Stokes equation for compressible fluid, subject to external random force with the covariance ∝ δ(t − t′)k^4−d−y, where d is the dimension of space and y is an arbitrary exponent. From physics viewpoints, the model describes magnetohydrodynamic turbulence in the so-called kinematic approximation, where the effects of the magnetic field on the dynamics of the fluid are neglected. The original stochastic problem is reformulated as a ultiplicatively renormalizable field theoretic model; the corresponding renormalization group equations possess an infrared attractive fixed point. It is shown that various correlation functions of the magnetic field and its powers demonstrate anomalous scaling behavior in the inertial-convective range already for small values of y. The corresponding anomalous expone

AB - The field theoretic renormalization group and the operator product expansion are applied to the model of passive vector (magnetic) field advected by a random turbulent velocity field. The latter is governed by the Navier–Stokes equation for compressible fluid, subject to external random force with the covariance ∝ δ(t − t′)k^4−d−y, where d is the dimension of space and y is an arbitrary exponent. From physics viewpoints, the model describes magnetohydrodynamic turbulence in the so-called kinematic approximation, where the effects of the magnetic field on the dynamics of the fluid are neglected. The original stochastic problem is reformulated as a ultiplicatively renormalizable field theoretic model; the corresponding renormalization group equations possess an infrared attractive fixed point. It is shown that various correlation functions of the magnetic field and its powers demonstrate anomalous scaling behavior in the inertial-convective range already for small values of y. The corresponding anomalous expone

KW - Keywords: fully developed turbulence

KW - magnetohydrodynamic turbulence

KW - anomalous scaling

KW - renormalization group

KW - operator product expansion

KW - composite fields

KW - compressibility

KW - anisotropy

U2 - 10.1103/PhysRevE.92.053013

DO - 10.1103/PhysRevE.92.053013

M3 - Article

VL - 92

SP - 053013_1-12

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 5

ER -