1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
f
Viscosity of liquid 4He and quantum of circulation: Are they related?
Rent:
Rent this article for
Access full text Article
/content/aip/journal/pof2/26/4/10.1063/1.4871291
1.
1. R. D. McCarty, “Thermophysical properties of helium-4 from 2 to 1500 K with pressures to 1000 atmospheres,” Technical Note 631, National Bureau of Standards, Gaithersburg, MD, 1972.
2.
2. V. D. Arp and R. D. McCarty, “The properties of critical helium gas,” Technical Report, University of Oregon, Eugene, OR, 1998.
3.
3. R. J. Donnelly and C. F. Barenghi, “The observed properties of liquid helium at the saturated vapor pressure,” J. Phys. Chem. Data 27, 12171274 (1998).
http://dx.doi.org/10.1063/1.556028
4.
4. J. J. Niemela and K. R. Sreenivasan, “The use of cryogenic helium for classical turbulence: Promises and hurdles,” J. Low Temp. Phys. 143, 163212 (2006).
http://dx.doi.org/10.1007/s10909-006-9221-9
5.
5. J. J. Niemela, L. Skrbek, K. R. Sreenivasan, and R. J. Donnelly, “Turbulent convection at very high Rayleigh numbers,” Nature (London) 404, 837840 (2000).
http://dx.doi.org/10.1038/35009036
6.
6. L. Skrbek and K. R. Sreenivasan, “Developed quantum turbulence and its decay,” Phys. Fluids 24, 011301011347 (2012).
http://dx.doi.org/10.1063/1.3678335
7.
7. W. F. Vinen and J. J. Niemela, “Quantum turbulence,” J. Low Temp. Phys. 128, 167231 (2002).
http://dx.doi.org/10.1023/A:1019695418590
8.
8. R. J. Donnelly, Quantized Vortices In Helium II (Cambridge University Press, Cambridge, UK, 1991).
9.
9. L. Onsager, “Introductory talk,” in Proceedings of the International Conference of Theoretical Physics, Kyoto and Tokyo, September 1953 (Science Council of Japan, Tokyo), pp. 877880.
10.
10. G. E. Volovik, personal communication (2010).
11.
11. A. Einstein, “Quantentheorie des einatomigen idealen Gases. Zweite Abhandlung (Quantum theory of the monoatomic ideal gas. Second treatise),” in Sitzungsberichte der Preussischen Akademie der Wissenschaften (Berlin), Physikalisch-mathematische Klasse, 1925, pp. 314.
12.
12. F. London, “The λ-phenomenon of liquid helium and the Bose-Einstein degeneracy,” Nature (London) 141, 643 (1938).
http://dx.doi.org/10.1038/141643a0
13.
13. N. N. Bogolyubov, “On the theory of superfluidity,” J. Phys. 11, 2332 (1947).
14.
14. L. D. Landau, “The theory of superfluidity of helium II,” J. Phys. (USSR) 5, 71 (1941);
14.L. D. Landau, “On the theory of superfluidity of helium II,” J. Phys. (USSR) 11, 91 (1947).
15.
15. G. Ahlers, “Thermodynamics and experimental tests of static scaling and universality near the superfluid transition in He4 under pressure,” Phys. Rev. A 8, 530568 (1973).
http://dx.doi.org/10.1103/PhysRevA.8.530
16.
16. S. Balibar, “Nucleation in quantum liquids,” J. Low Temp. Phys. 129, 363421 (2002).
http://dx.doi.org/10.1023/A:1021412529571
17.
17. H. J. Maris and D. O. Edwards, “Thermodynamic properties of superfluid 4He at negative pressure,” J. Low Temp. Phys. 129, 124 (2002).
http://dx.doi.org/10.1023/A:1020060700534
18.
18. S. L. Ginzburg, “Determination of the fixed point and critical indices,” J. Exp. Theor. Phys. 41, 133 (1975).
19.
19. T. V. Chagovets, A. V. Gordeev, and L. Skrbek, “Effective kinematic viscosity of turbulent He II,” Phys. Rev. E 76, 027301027304 (2007).
http://dx.doi.org/10.1103/PhysRevE.76.027301
20.
20. S. Babuin, E. Varga, and L. Skrbek, “The decay of forced turbulent coflow of He II past a grid,” J. Low Temp. Phys. 175, 324330 (2014).
http://dx.doi.org/10.1007/s10909-013-0938-y
http://aip.metastore.ingenta.com/content/aip/journal/pof2/26/4/10.1063/1.4871291
Loading
/content/aip/journal/pof2/26/4/10.1063/1.4871291
Loading

Data & Media loading...

Loading

Article metrics loading...

/content/aip/journal/pof2/26/4/10.1063/1.4871291
2014-04-15
2014-10-01

Abstract

In the vicinity of the superfluid transition in liquid 4He, we explore the relation between two apparently unrelated physical quantities—the kinematic viscosity, ν, in the normal state and the quantum of circulation, κ, in the superfluid state. The model developed here leads to the simple relationship ν ≈ κ/6, and links the classical and quantum flow properties of liquid 4He. We critically examine available data relevant to this relation and find that the prediction holds well at the saturated vapor pressure. Additionally, we predict the kinematic viscosity for liquid 4He along the λ-line at negative pressures.

Loading

Full text loading...

/deliver/fulltext/aip/journal/pof2/26/4/1.4871291.html;jsessionid=qtrbb1w8ioh3.x-aip-live-02?itemId=/content/aip/journal/pof2/26/4/10.1063/1.4871291&mimeType=html&fmt=ahah&containerItemId=content/aip/journal/pof2
true
true
This is a required field
Please enter a valid email address
This feature is disabled while Scitation upgrades its access control system.
This feature is disabled while Scitation upgrades its access control system.
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Viscosity of liquid 4He and quantum of circulation: Are they related?
http://aip.metastore.ingenta.com/content/aip/journal/pof2/26/4/10.1063/1.4871291
10.1063/1.4871291
SEARCH_EXPAND_ITEM