Reply to Comment on "Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T=0 superfluid turbulence" [arXiv:1208.4593]
arXiv:1208.5118 · doi:10.1103/PhysRevB.86.226502
Abstract
I discuss the Comment by L'vov and Nazarenko (arXiv:1208.4593) aiming at refutation of my perviously published criticism of their mechanism of the Kelvin-wave cascade. It is important that in their Comment L'vov and Nazarenko admitted that the Hamiltonian, from which they derived their mechanism, is not tilt-invariant. This provides full ammunition to their critics, who believe that their mechanism is in conflict with tilt symmetry of the Kelvin-wave dynamics in an isotropic space.
arXiv comment2 pages
References in corpus (8)
- Kelvin Wave Cascade and Decay of Superfluid Turbulence
- Spectrum of Kelvin-wave turbulence in superfluids
- The interaction of Kelvin waves and the non-locality of the energy transfer in superfluids
- Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T=0 superfluid turbulence
- Geometric Symmetries in Superfluid Vortex Dynamics
- On role of symmetries in Kelvin wave turbulence
- Comment on "Symmetries and Interaction Coefficients of Kelvin waves" [arXiv:1005.4575] by Lebedev and L'vov
- Comment on "Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T = 0 superfluid turbulence" [arXiv:1201.3188]