Reply to "Comment on 'Theoretical analysis of quantum turbulence using the Onsager ideal turbulence theory' ".
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- Also identified by DOI 10.1103/PhysRevE.105.027102.
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Abstract
We refute the criticism expressed in a Comment by Krstulovic, L'vov, and Nazarenko [Phys. Rev. E 105, 027101 (2022)10.1103/PhysRevE.105.027101] on our paper [Phys. Rev. E 103, 023106 (2021)2470-004510.1103/PhysRevE.103.023106]. We first show that quantization of circulation is not ignored in our analysis. Then, we propose a more sophisticated analysis to avoid a subtle problem with the regularity of the velocity field. We thus defend the main results of our paper, which predicts the double-cascade scenario where the quantum stress cascade follows the Richardson cascade. We also provide a conjecture on the relation between the Kelvin-wave cascade and the quantum stress cascade.