Jurcisinová E, Jurcisin M, Remecký R
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Aug;82(2 Pt 2):028301. doi: 10.1103/PhysRevE.82.028301. Epub 2010 Aug 9.
We have revised the value of the turbulent Prandtl number obtained in the model of a passive scalar advected by the velocity field driven by the stochastic Navier-Stokes equation which was calculated by L. Ts. Adzhemyan [Phys. Rev. E 71, 056311 (2005)] by using the field-theoretic renormalization group approach within the two-loop approximation in the corresponding perturbative theory. It is shown that the correct two-loop contribution to the turbulent Prandtl number is essentially smaller than that calculated by Adzhemyan and, as a result, the final two-loop value of the turbulent Prandtl number is Pr(t)=0.7051 instead of Pr(t)=0.7693. The source of discrepancy between our result and that obtained by Adzhemyan is identified and discussed.