Abstract
Using the field theory renormalization group technique in the two-loop approximation, we study the influence of helicity (spatial parity violation) on the turbulent Prandtl number in the model of a scalar field passively advected by the helical turbulent environment given by the stochastic Navier-Stokes equation with a self-similar Gaussian random stirring force δ-correlated in time with the correlator proportional to k4−d−2ɛ. We briefly discuss the influence of helicity on the stability of the corresponding scaling regime. We show that the presence of helicity increases the value of the turbulent Prandtl number up to 50% of its nonhelical value.
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Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 169, No. 2, pp. 241–252, November, 2011.
An erratum to this article is available at http://dx.doi.org/10.1007/s11232-012-0146-y.
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Jurčišinová, E., Jurčišin, M. & Remecký, R. Influence of helicity on the turbulent Prandtl number: Two-loop approximation. Theor Math Phys 169, 1573–1582 (2011). https://doi.org/10.1007/s11232-011-0134-7
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DOI: https://doi.org/10.1007/s11232-011-0134-7