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.
@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]
, Quantized Vortices in Helium II, Cambridge University Press, Cambridge, (1991).[2] | Zbl 0972.00023
- - (eds), Quantized Vortex Dynamics and Superfluid Turbulence, Springer, Berlin, (2001).[3] Chaotic quantized vortices and hydrodynamic processes in superfluid helium, Rev. Mod. Phys., 67 (1995), 37-84.
- ,[4] Transport phenomena in He II, Nature, 141 (London, 1938), 913.
,[5] The theory of superfluidity of He II, J. Phys., 5 (1941), 71. | Zbl 0027.18505
,[6] | MR 1084373
, An Introduction to the Theory of Superfluidity, Addison-Wesley, Redwood City (1989).[7] Second sound, superfluid turbulence and intermittent effects in liquid helium II, Phys. Rev. B, 66 (2002), 9.
- - ,[8] 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] Quantum Turbulence, J. Low Temp. Phys., 128 (2002), 167.
- ,[10] Classical aspects of quantum turbulence, J. Phys. Cond. Matter, 11 (1999), 7751.
,[11] A thermodynamical derivation of a hydrodinamical model of inhomogeneous superfluid turbulence, Phys. Rev. B, 75 (2007), 14. | MR 2367591
- ,[12] Vortex density waves in a hydrodinamical model of superfluid turbulence, Phys. Lett. A, 368 (2007), 7.
- - ,[13] Method of Lagrange multipliers for exploitation of the entropy principle, Arch. Rat. Mech. Anal.46 (1972), 131-148. | MR 337164 | Zbl 0252.76003
,[14] | MR 1632151
- , Extended Thermodynamics, Springer-Verlag (New York, 1993), Rational Extended Thermodynamics, Springer-Verlag (New York, 1998).[15] 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] Generating superfluid turbulence from simple dynamical rules, Phys. Rev. Lett., 49 (1982), 283-285.
,[17] Three-dimensional vortex dynamics in superfluid 4He, I. Line-line and line boundary interactions, Phys. Rev. B, 31 (1985), 5782-5804.
,[18] Three-dimensional vortex dynamics in superfluid 4He, Phys. Rev. B, 38 (1988), 2398-2417.
,[19] Description and evolution of anisotropy in superfluid vortex tangles with counterflow and rotation, Phys. Rev. B, 74 (2006), 11.
- ,[20] Extended Irreversible Thermodynamics of Liquid Helium II, Phys. Rev. B, 48 (1993), 6276-6283.
,[21] Waves propagation in turbulent superfluid helium in presence of combined rotation and counterflow, Physica B, 398 (2007), 8-17.
- ,[22] Properties of superfluid turbulence in a large channel, Phys. Rev. Lett., 53 (1984), 1372-1375.
- - ,