TY - GEN

T1 - Anisotropic Turbulent Advection of a Passive Vector Field: Effects of the Finite Correlation Time

AU - Antonov, N. V.

AU - Gulitskiy, N. M.

PY - 2016

Y1 - 2016

N2 - The turbulent passive advection under the environment (velocity) field with fi- nite correlation time is studied. Inertial-range asymptotic behavior of a vector (e.g., magnetic) field, passively advected by a strongly anisotropic turbulent flow, is investigated by means of the field theoretic renormalization group and the operator product expansion. The advecting velocity field is Gaussian, with finite correlation time and prescribed pair correlation function. The inertial-range behavior of the model is described by two regimes (the limits of vanishing or infinite correlation time) that correspond to nontrivial fixed points of the RG equations and depend on the relation between the exponents in the energy spectrum E ∝ k 1−ξ ⊥ and the dispersion law ω ∝ k 2−η ⊥ . The corresponding anomalous exponents are associated with the critical dimensions of tensor composite operators built solely of the passive vector field itself. In contrast to the well-known isotropic Kraichnan model, where various correlation functio

AB - The turbulent passive advection under the environment (velocity) field with fi- nite correlation time is studied. Inertial-range asymptotic behavior of a vector (e.g., magnetic) field, passively advected by a strongly anisotropic turbulent flow, is investigated by means of the field theoretic renormalization group and the operator product expansion. The advecting velocity field is Gaussian, with finite correlation time and prescribed pair correlation function. The inertial-range behavior of the model is described by two regimes (the limits of vanishing or infinite correlation time) that correspond to nontrivial fixed points of the RG equations and depend on the relation between the exponents in the energy spectrum E ∝ k 1−ξ ⊥ and the dispersion law ω ∝ k 2−η ⊥ . The corresponding anomalous exponents are associated with the critical dimensions of tensor composite operators built solely of the passive vector field itself. In contrast to the well-known isotropic Kraichnan model, where various correlation functio

U2 - 10.1051/epjconf/201610802008

DO - 10.1051/epjconf/201610802008

M3 - Conference contribution

SP - 02008_1-6

BT - Anisotropic Turbulent Advection of a Passive Vector Field: Effects of the Finite Correlation Time

ER -