Helical Turbulent Prandtl Number in the A Model of Passive Vector Advection: Two-Loop Approximation

Abstract

The field-theoretic renormalization group techniques are used to solve the general A model of passive vector advected by the fully developed turbulent velocity field with violation of spatial parity introduced via the continuous parameter ρ which is essentially a problem of the classical Newtonian physics. The values of A represent a continuously adjustable parameter that governs the interaction structure of the model and is considered here for arbitrary real A. We demonstrate that helicity stabilizes the system as indicated in the region plot of allowed parameters A and ρ. To characterize these properties the turbulent Prandtl number is employed.