Wave propagation in anisotropic turbulent superfluids

Gaeta, G; Mongiovi, Ms

Risultato della ricerca: Article

5 Citazioni (Scopus)

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.
Lingua originaleEnglish
pagine (da-a)1571-1586
Numero di pagine16
RivistaZeitschrift fur Angewandte Mathematik und Physik
Volume64
Stato di pubblicazionePublished - 2013

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Superfluid
Heat Flux
Wave propagation
Wave Propagation
heat flux
Vortex
wave propagation
Tangles
vortices
Heat flux
Vortex flow
acoustics
Acoustic waves
Directly proportional
Perturbation Method
wave fronts
Square root
Wave Front
Attenuation
Turbulence

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics
  • Physics and Astronomy(all)

Cita questo

Wave propagation in anisotropic turbulent superfluids. / Gaeta, G; Mongiovi, Ms.

In: Zeitschrift fur Angewandte Mathematik und Physik, Vol. 64, 2013, pag. 1571-1586.

Risultato della ricerca: Article

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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.",
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AU - Gaeta, G; Mongiovi, Ms

AU - Mongiovi', Maria Stella

AU - Ardizzone, Lucia

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AB - 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.

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JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

SN - 0044-2275

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