Geodesic
Onde di calore e onde di densità di vortici nella turbolenza superfluida
Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 3, pp. 819-838.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

The main topic of this paper is the interaction between vortex density waves and high-frequency second sound in counterflow superfluid turbulence. To this end a thermodynamical model including vortex flux as independent variable is considered. This choice is crucial for the study of the transition of the behavior of the vortex-density perturbations from diffusive to propagative, which is necessary to interpret the details of the high-frequency second sound waves. 
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Sciacca, Michele; Mongiovì, Maria Stella; Jou, David. Onde di calore e onde di densità di vortici nella turbolenza superfluida. Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 3, pp. 819-838. http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_3_a13/

[1] R. J. Donnelly, Quantized Vortices in Helium II, Cambridge University Press, Cambridge, (1991).

[2] C. F. BARENGHI - R. J. DONNELLY - W. F. VINEN (eds), Quantized Vortex Dynamics and Superfluid Turbulence, Springer, Berlin, (2001). | Zbl

[3] S. K. Nemirovskii - W. Fiszdon, Chaotic quantized vortices and hydrodynamic processes in superfluid helium, Rev. Mod. Phys., 67 (1995), 37-84.

[4] L. Tisza, Transport phenomena in He II, Nature, 141 (London, 1938), 913.

[5] L. D. Landau, The theory of superfluidity of He II, J. Phys., 5 (1941), 71. | Zbl

[6] I. M. Khalatnikov, An Introduction to the Theory of Superfluidity, Addison-Wesley, Redwood City (1989). | MR

[7] D. Jou - G. Lebon - M. S. Mongiovì, Second sound, superfluid turbulence and intermittent effects in liquid helium II, Phys. Rev. B, 66 (2002), 9.

[8] W. F. Vinen, Mutual friction in a heat current in liquid helium II. III. Theory of the mutual friction, Proc. R. Soc., A 240 (London, 1957), 493-515.

[9] W. F. Vinen - J. J. Niemela, Quantum Turbulence, J. Low Temp. Phys., 128 (2002), 167.

[10] C. F. Barenghi, Classical aspects of quantum turbulence, J. Phys. Cond. Matter, 11 (1999), 7751.

[11] M. S. Mongiovì - D. Jou, A thermodynamical derivation of a hydrodinamical model of inhomogeneous superfluid turbulence, Phys. Rev. B, 75 (2007), 14. | DOI | MR

[12] D. Jou - M. S. Mongiovì - M. Sciacca, Vortex density waves in a hydrodinamical model of superfluid turbulence, Phys. Lett. A, 368 (2007), 7.

[13] I. Liu, Method of Lagrange multipliers for exploitation of the entropy principle, Arch. Rat. Mech. Anal. 46 (1972), 131-148. | DOI | MR | Zbl

[14] I. Müller - T. Ruggeri, Extended Thermodynamics, Springer-Verlag (New York, 1993), Rational Extended Thermodynamics, Springer-Verlag (New York, 1998). | DOI | MR

[15] M. Sciacca - M. S. Mongiovì - D. Jou, A mathematical model of counterflow superfluid turbulence describing heat waves and vortex-density waves, Mathematical and Computer Modelling 48 (2008), 206-221. | DOI | MR | Zbl

[16] K. W. Schwarz, Generating superfluid turbulence from simple dynamical rules, Phys. Rev. Lett., 49 (1982), 283-285.

[17] K. W. Schwarz, Three-dimensional vortex dynamics in superfluid 4He, I. Line-line and line boundary interactions, Phys. Rev. B, 31 (1985), 5782-5804.

[18] K. W. Schwarz, Three-dimensional vortex dynamics in superfluid 4He, Phys. Rev. B, 38 (1988), 2398-2417.

[19] D. Jou - M. S. Mongiovì, Description and evolution of anisotropy in superfluid vortex tangles with counterflow and rotation, Phys. Rev. B, 74 (2006), 11.

[20] M. S. Mongiovì, Extended Irreversible Thermodynamics of Liquid Helium II, Phys. Rev. B, 48 (1993), 6276-6283.

[21] R. A. Peruzza - M. Sciacca, Waves propagation in turbulent superfluid helium in presence of combined rotation and counterflow, Physica B, 398 (2007), 8-17.

[22] D. D. Awschalom - F. P. Milliken - K. W. Schwarz, Properties of superfluid turbulence in a large channel, Phys. Rev. Lett., 53 (1984), 1372-1375.