Reply to "comment on 'Dynamics of the density of quantized vortex lines in superfluid turbulence' "

This is a Reply to Nemirovskii's Comment [Phys. Rev. B 94, 146501 (2016)10.1103/PhysRevB.94.146501] on Khomenko et al. [Phys. Rev. B 91, 180504 (2015)PRBMDO1098-012110.1103/PhysRevB.91.180504] in which a new form of the production term in Vinen's equation for the evolution of the vortex-line density L in the thermal counterflow of superfluid He4 in a channel was suggested. To further substantiate the suggested form which was questioned in the Comment, we present a physical explanation for the improvement of the closure suggested in Khomenko et al. [Phys. Rev. B 91, 180504 (2015)PRBMDO1098-012110.1103/PhysRevB.91.180504] in comparison to the form proposed by Vinen. We also discuss the closure for the flux term, which agrees well with the numerical results without any fitting parameters.