In this work, a hydrodynamical model of Superfluid Turbulence previously formulated is applied to study how the presence of a non-isotropic turbulent vortex tangle modifies the propagation of waves. Two cases are considered: wave front parallel and orthogonal to the heat flux. Using a perturbation method, the first-order corrections due to the presence of the vortex tangle to the speeds and to the amplitudes of the first and second sound are determined. It is seen that the presence of the quantized vortices couples first and second sound, and the attenuation of second sound is proportional to the line density L if the wave propagates orthogonal to the heat flux, while it is proportional to the square root of L if the wave propagates parallel with the heat flux.

Ardizzone, L., Gaeta, G., Mongiovi, M.S. (2013). Wave propagation in anisotropic turbulent superfluids. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 64, 1571-1586 [10.1007/s00033-013-0308-2].

Wave propagation in anisotropic turbulent superfluids

ARDIZZONE, Lucia;MONGIOVI', Maria Stella
2013-01-01

Abstract

In this work, a hydrodynamical model of Superfluid Turbulence previously formulated is applied to study how the presence of a non-isotropic turbulent vortex tangle modifies the propagation of waves. Two cases are considered: wave front parallel and orthogonal to the heat flux. Using a perturbation method, the first-order corrections due to the presence of the vortex tangle to the speeds and to the amplitudes of the first and second sound are determined. It is seen that the presence of the quantized vortices couples first and second sound, and the attenuation of second sound is proportional to the line density L if the wave propagates orthogonal to the heat flux, while it is proportional to the square root of L if the wave propagates parallel with the heat flux.
2013
Settore MAT/07 - Fisica Matematica
Ardizzone, L., Gaeta, G., Mongiovi, M.S. (2013). Wave propagation in anisotropic turbulent superfluids. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 64, 1571-1586 [10.1007/s00033-013-0308-2].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/76817
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