Reply to Comment on "Dynamics of the Density of Quantized Vortex-Lines   in Superfluid Turbulence"
  This is a Reply to Nemirovskii Comment [Phys. Rev. B 94, 146501 (2016)] on the Khomenko et al, [Phys.Rev. B v.91, 180504(2016)], in which a new form of the production term in Vinen's equation for the evolution of the vortex-line density $\cal L$ in the thermal counterflow of superfluid $^4$He 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 v. 91, 180504(2016)] 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. 
D. Khomenko, V. S. L'vov, A. Pomyalov, and I. Procaccia
cond-mat.other cond-mat.quant-gas