Thermodynamical derivation of a hydrodynamical model of unhomogeneous superfluid turbulence

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39 Citazioni (Scopus)

Abstract

In this paper, we build up a thermodynamical model of inhomogeneous superfluid turbulence to describe vortex diffusion in inhomogeneous turbulent tangles, and a coupling between second sound and vortex-density waves. The theory chooses as fundamental fields the density, the velocity, the energy density, the heat flux, and the averaged vortex line length per unit volume. The restrictions on the constitutive quantities are deduced from the entropy principle, using the Liu method of Lagrange multipliers. Field equations are written and the wave propagation is studied with the aim to describe the mutual interactions between the second sound and the vortex tangle.
Lingua originaleEnglish
pagine (da-a)024507-(14 pages)
RivistaPHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS
Volume75
Stato di pubblicazionePublished - 2007

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derivation
turbulence
vortices
Lagrange multipliers
acoustics
heat flux
wave propagation
constrictions
flux density
entropy
interactions

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cita questo

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title = "Thermodynamical derivation of a hydrodynamical model of unhomogeneous superfluid turbulence",
abstract = "In this paper, we build up a thermodynamical model of inhomogeneous superfluid turbulence to describe vortex diffusion in inhomogeneous turbulent tangles, and a coupling between second sound and vortex-density waves. The theory chooses as fundamental fields the density, the velocity, the energy density, the heat flux, and the averaged vortex line length per unit volume. The restrictions on the constitutive quantities are deduced from the entropy principle, using the Liu method of Lagrange multipliers. Field equations are written and the wave propagation is studied with the aim to describe the mutual interactions between the second sound and the vortex tangle.",
author = "Mongiovi', {Maria Stella} and Jou",
year = "2007",
language = "English",
volume = "75",
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journal = "PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS",
issn = "1098-0121",

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T1 - Thermodynamical derivation of a hydrodynamical model of unhomogeneous superfluid turbulence

AU - Mongiovi', Maria Stella

AU - Jou, null

PY - 2007

Y1 - 2007

N2 - In this paper, we build up a thermodynamical model of inhomogeneous superfluid turbulence to describe vortex diffusion in inhomogeneous turbulent tangles, and a coupling between second sound and vortex-density waves. The theory chooses as fundamental fields the density, the velocity, the energy density, the heat flux, and the averaged vortex line length per unit volume. The restrictions on the constitutive quantities are deduced from the entropy principle, using the Liu method of Lagrange multipliers. Field equations are written and the wave propagation is studied with the aim to describe the mutual interactions between the second sound and the vortex tangle.

AB - In this paper, we build up a thermodynamical model of inhomogeneous superfluid turbulence to describe vortex diffusion in inhomogeneous turbulent tangles, and a coupling between second sound and vortex-density waves. The theory chooses as fundamental fields the density, the velocity, the energy density, the heat flux, and the averaged vortex line length per unit volume. The restrictions on the constitutive quantities are deduced from the entropy principle, using the Liu method of Lagrange multipliers. Field equations are written and the wave propagation is studied with the aim to describe the mutual interactions between the second sound and the vortex tangle.

UR - http://hdl.handle.net/10447/20550

M3 - Article

VL - 75

SP - 024507-(14 pages)

JO - PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS

JF - PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS

SN - 1098-0121

ER -