The interaction between vortex density waves and high-frequency second soundin counterflow superfluid turbulence is examined, incorporating diffusive andelastic contributions of the vortex tangle. The analysis is based on a set ofevolution equations for the energy density, the heat flux, the vortex linedensity, and the vortex flux, the latter being considered here as anindependent variable, in contrast to previous works. The latter feature iscrucial in the transition from diffusive to propagative behavior of vortexdensity perturbations, which is necessary to interpret the details ofhigh-frequency second sound.
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