A mathematical model of counterflow superfluid turbulence describing heat waves and vortex-density waves

Details A mathematical model of counterflow superfluid turbulence describing heat waves and vortex-density waves A mathematical model of counterflow superfluid turbulence describing heat waves and vortex-density waves

2010-08-25

arxiv.org/abs/1008.4381v1

Mathematical and Computer Modelling 48 (2008) 206

Physics

Condensed Matter

Other Condensed Matter

20 pages

Scientific paper

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

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