Attenuation of the fourth sound in liquid helium II via extended thermodynamics

International Journal of Non-Linear Mechanics

Volumn 39, Issue 6, 2004, Pages 1005-1012

  Mongiovi M S ^a   Peruzza, R A ^a  

^a UNIVERSITY OF PALERMO   (Italy)

Author keywords

Extended thermodynamics; Liquid helium II; Non equilibrium thermodynamics; Superfluids

Indexed keywords

ATTENUATION; ENTROPY; MATHEMATICAL MODELS; POROUS MATERIALS; PRESSURE EFFECTS; THERMAL EFFECTS;

NON-EQUILIBRIUM THERMODYNAMICS;

SUPERFLUID HELIUM;

EID: 0345306153     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(03)00092-1     Document Type: Article

References (27)

1. K. Mendelson, Liquid helium Encyclopedia of Physics, Vol. XV, Springer, Berlin, 1956.
2. Khalatnikov I.M. An Introduction to the Theory of Superfluidity. 1965;Benjamin, New York.
3. Puttermann S.J. Superfluid Hydrodynamics. 1974;North-Holland, New York.
4. Pellam J.R. Wave transmission and reflection phenomena in liquid helium II. Phys. Rev. 73(6):1948;608-617.
5. Atkins K.R. Third and fourth sound in liquid helium II. Phys. Rev. 113(4):1959;962-965.
6. Rudnick I., Shapiro K.A. Fourth sound in helium II. Phys. Rev. Lett. 9(5):1962;191-193.
7. Shapiro K.A., Rudnick I. Experimental determination of the fourth sound velocity in helium II. Phys. Rev. 137(5A):1965;1383-1391.
8. Tisza L. Transport phenomena in He II. Nature. 141:1938;913.
9. Landau L.D. The theory of superfluidity of He II. J. Phys. 5:1941;71-90.
10. Glick F.I., Werntz J.H. Jr. Entropy of the superfluid component of helium. Phys. Rev. 178:1969;314-319.
11. Singsaas A., Ahlers G. Entropy of He II from. 1.6 K to the lambda line Phys. Rev. B. 29:1984;4951-4960.
12. Fliessbach T. A Model for the. λ -transition of helium Nuovo Cimento D. 13(2):1991;211-231.
13. Schäfer R., Fliessbach T. The two-fluid model with superfluid entropy. Nuovo Cimento D. 16:1994;373-390.
14. Müller I., Ruggeri T. Rational Extended Thermodynamics. 1996;Springer, Berlin.
15. Jou D., Casas-Vázquez J., Lebon G. Extended Irreversible Thermodynamics. 2001;Springer, Berlin.
16. Mongiov̀ M.S. Superfluidity and entropy conservation in extended thermodynamics. J. Non-Equil. Thermodyn. 16:1991;225-239.
17. Mongiov̀ M.S. Extended irreversible thermodynamics of liquid helium II. Phys. Rev. B. 48(9):1993;6276-6283.
18. Mongiov̀ M.S. Extended irreversible thermodynamics of liquid helium II. boundary condition and propagation of fourth sound Physica A. 291:2001;518-537.
19. Mongiov̀ M.S. Proposed measurements of the small entropy carried by the superfluid component of liquid helium II. Phys. Rev. B. 63(1-4):2001;12501.
20. M.S. Mongiov̀, R.A. Peruzza, Velocity of fourth sound in liquid helium II via extended thermodynamics, Zangew. Math. Phys. 54 (4/5) (2003) in press.
21. Maynard J. Determination of the thermodynamics of He II from sound velocity data. Phys. Rev. B. 14(9):1976;3868-3891.
22. Worthington T., Yan J., Trefny J.U. Attenuation of second sound in He II under pressure. J. Low Temp. Phys. 24:1976;365-378.
23. M.S. Mongiov̀, R.A. Peruzza, Fast relaxation phenomena and slow mode in extended thermodynamics of superfluids Math. Comput. Modelling, in press.
24. Mongiov̀ M.S. Thermomechanical effects in the flow of a fluid in porous media. Math. Comput. Modelling. 35:2002;111-118.
25. Lauter H.J., Wiechert H. Measurement of the velocity and attenuation of fourth sound in Helium II. J. Low Temp. Phys. 36(1/2):1979;139-163.
26. Mongiov̀ M.S. Nonlinear extended thermodynamics of a non-viscous fluid in the presence of heat flux. J. Non-Equil. Thermodyn. 25:2000;31-47.
27. R.A. Peruzza, Recent development in extended thermodynamics with application to the heat propagation, Ph.D. Thesis, University of Palermo, 2003.