Onde di calore e onde di densità di vortici nella turbolenza superfluida
Sciacca, Michele ; Mongiovì, Maria Stella ; Jou, David
Bollettino dell'Unione Matematica Italiana, Tome 1 (2008), p. 819-838 / Harvested from 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.

Publié le : 2008-10-01
@article{BUMI_2008_9_1_3_819_0,
     author = {Michele Sciacca and Maria Stella Mongiov\`\i\ and David Jou},
     title = {Onde di calore e onde di densit\`a di vortici nella turbolenza superfluida},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {1},
     year = {2008},
     pages = {819-838},
     zbl = {1191.35216},
     mrnumber = {2455347},
     language = {it},
     url = {http://dml.mathdoc.fr/item/BUMI_2008_9_1_3_819_0}
}
Sciacca, Michele; Mongiovì, Maria Stella; Jou, David. Onde di calore e onde di densità di vortici nella turbolenza superfluida. Bollettino dell'Unione Matematica Italiana, Tome 1 (2008) pp. 819-838. http://gdmltest.u-ga.fr/item/BUMI_2008_9_1_3_819_0/

[1] Donnelly, R. J., 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 0972.00023

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

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

[5] Landau, L. D., The theory of superfluidity of He II, J. Phys., 5 (1941), 71. | Zbl 0027.18505

[6] Khalatnikov, I. M., An Introduction to the Theory of Superfluidity, Addison-Wesley, Redwood City (1989). | MR 1084373

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

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

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

[11] Mongiovì, M. S. - Jou, D., A thermodynamical derivation of a hydrodinamical model of inhomogeneous superfluid turbulence, Phys. Rev. B, 75 (2007), 14. | MR 2367591

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

[13] Liu, I., Method of Lagrange multipliers for exploitation of the entropy principle, Arch. Rat. Mech. Anal.46 (1972), 131-148. | MR 337164 | Zbl 0252.76003

[14] Müller, I. - Ruggeri, T., Extended Thermodynamics, Springer-Verlag (New York, 1993), Rational Extended Thermodynamics, Springer-Verlag (New York, 1998). | MR 1632151

[15] Sciacca, M. - Mongiovì, M. S. - Jou, D., A mathematical model of counterflow superfluid turbulence describing heat waves and vortex-density waves, Mathematical and Computer Modelling 48 (2008), 206-221. | MR 2431334 | Zbl 1145.82361

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

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

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

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

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

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

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