# Comment on ``Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T=0 superfluid turbulence''

@article{Lvov2012CommentO, title={Comment on ``Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T=0 superfluid turbulence''}, author={Victor S L’vov and Sergey V Nazarenko}, journal={Physical Review B}, year={2012}, volume={86}, pages={226501} }

We comment on the paper by Sonin [Phys. Rev. B 85, 104516 (2012)] with most statements of which we disagree. We use this option to shed light on some important issues of a theory of Kelvin-wave turbulence, touched on in Sonin's paper, in particular, on the relation between the Vinen spectrum of strong and the L'vov-Nazarenko spectrum of weak turbulence of Kelvin waves. We also discuss the role of explicit calculation of the Kelvin-wave interaction Hamiltonian and ``symmetry arguments'' that…

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## References

SHOWING 1-4 OF 4 REFERENCES

### Online lectures.

- Computer ScienceNurse educator
- 2010

The creation of lectures that can be embedded in Web-based courses and presentations is described, which helps nurse educators use Internet and Web- based computer technologies to teach and learn.

### Abu Dhabi workshop in Classical and Quantum turbulence

### Commented Line-by-calculatation of W see at URL

- Rev B
- 2010

### Pis'ma Zh

- Eksp. Teor. Fiz
- 1976