Onde di calore e onde di densità di vortici nella turbolenza superfluida

Michele Sciacca; Maria Stella Mongiovì; David Jou

Bollettino dell'Unione Matematica Italiana (2008)

  • Volume: 1, Issue: 3, page 819-838
  • ISSN: 0392-4041

Abstract

top
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.

How to cite

top

Sciacca, Michele, Mongiovì, Maria Stella, and Jou, David. "Onde di calore e onde di densità di vortici nella turbolenza superfluida." Bollettino dell'Unione Matematica Italiana 1.3 (2008): 819-838. <http://eudml.org/doc/290461>.

@article{Sciacca2008,
author = {Sciacca, Michele, Mongiovì, Maria Stella, Jou, David},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {ita},
month = {10},
number = {3},
pages = {819-838},
publisher = {Unione Matematica Italiana},
title = {Onde di calore e onde di densità di vortici nella turbolenza superfluida},
url = {http://eudml.org/doc/290461},
volume = {1},
year = {2008},
}

TY - JOUR
AU - Sciacca, Michele
AU - Mongiovì, Maria Stella
AU - Jou, David
TI - Onde di calore e onde di densità di vortici nella turbolenza superfluida
JO - Bollettino dell'Unione Matematica Italiana
DA - 2008/10//
PB - Unione Matematica Italiana
VL - 1
IS - 3
SP - 819
EP - 838
LA - ita
UR - http://eudml.org/doc/290461
ER -

References

top
  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). Zbl0972.00023
  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. Zbl0027.18505
  6. KHALATNIKOV, I. M., An Introduction to the Theory of Superfluidity, Addison-Wesley, Redwood City (1989). MR1084373
  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. MR2367591DOI10.1142/9789812709394_0040
  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. Zbl0252.76003MR337164DOI10.1007/BF00250688
  14. MÜLLER, I. - RUGGERI, T., Extended Thermodynamics, Springer-Verlag (New York, 1993), Rational Extended Thermodynamics, Springer-Verlag (New York, 1998). MR1632151DOI10.1007/978-1-4612-2210-1
  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 Modelling48 (2008), 206-221. Zbl1145.82361MR2431334DOI10.1016/j.mcm.2007.09.007
  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. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.