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Sciacca, Michele and Mongiovì, Maria Stella and Jou, David:
Onde di calore e onde di densità di vortici nella turbolenza superfluida
Bollettino dell'Unione Matematica Italiana Serie 9 1 (2008), fasc. n.3, p. 819-838, (Italian)
pdf (390 Kb), djvu (201 Kb). | MR 2455347 | Zbl 1191.35216

Sunto

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.
Referenze Bibliografiche
[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 0972.00023
[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 0027.18505
[6] I. M. KHALATNIKOV, An Introduction to the Theory of Superfluidity, Addison-Wesley, Redwood City (1989). | MR 1084373
[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. | fulltext (doi) | MR 2367591
[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. | fulltext (doi) | MR 337164 | Zbl 0252.76003
[14] I. MÜLLER - T. RUGGERI, Extended Thermodynamics, Springer-Verlag (New York, 1993), Rational Extended Thermodynamics, Springer-Verlag (New York, 1998). | fulltext (doi) | MR 1632151
[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. | fulltext (doi) | MR 2431334 | Zbl 1145.82361
[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.

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