Finite-size scaling of He4 at the superfluid transition

Reviews of Modern Physics

Volumn 80, Issue 3, 2008, Pages 1009-1059

  Gasparini, Francis M ^a   Kimball, Mark O ^a   Mooney, Kevin P ^a   Diaz Avila, Manuel ^a  

^a UNIVERSITY AT BUFFALO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALORIMETRY; CONCENTRATION (PROCESS); CORRELATION METHODS; HELIUM; INERT GASES; NUCLEAR PHYSICS; RADIOACTIVITY; SPECIFIC HEAT; THERMOELECTRICITY;

BULK MEASUREMENTS; CRITICAL EXPONENTS; DIMENSIONALITY CROSSOVER; FINITE-SIZE EFFECTS; FINITE-SIZE SCALING; FUNCTION OF PRESSURE; LENGTH SCALING; PROXIMITY EFFECTS; SUPERFLUID DENSITY; SUPERFLUID REGIONS; SUPERFLUID TRANSITION; THREE DIMENSIONS;

SUPERFLUID HELIUM;

EID: 52249115166     PISSN: 00346861     EISSN: 15390756     Source Type: Journal    
DOI: 10.1103/RevModPhys.80.1009     Document Type: Article

References (231)

1. Adams, P. W., 1978, Ph.D. thesis (Rutgers University, New Brunswick, NJ).
2. Adams, P. W., and W. I. Glaberson, 1987, " Vortex dynamics in superfluid helium films, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.35.4633 35, 4633-4652.
3. Agnolet, G., D. F. McQueeney, and J. D. Reppy, 1989, " Kosterlitz-Thouless transition in helium films, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.8934 39, 8934-8958.
4. Agnolet, G., S. L. Teitel, and J. D. Reppy, 1981, " Thermal transport in a He4 film at the Kosterlitz-Thouless transition, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.47.1537 47, 1537-1540.
5. Ahlers, G., 1971, " Heat capacity near the superfluid transition in He4 at saturated vapor pressure, " Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.3.696 3, 696-716.
6. Ahlers, G., 1973, " Thermodynamics and experimental tests of static scaling and universality near the superfluid transition in He4 under pressure, " Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.8.530 8, 530-568.
7. Ahlers, G., 1999, " Finite-size and gravity effects on the thermal conductivity of He4 near the λ line, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF02876019 115, 143-172.
8. Ahlers, G., and R. V. Duncan, 1988, " Finite-size effects on the thermal conductivity of He4 near the superfluid transition, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.846 61, 846-848.
9. Ahlers, G., P. C. Hohenberg, and A. Kornblit, 1982, " Nonlinear renormalization-group analysis of the thermal conductivity of He4 for T< Tλ, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.25.3136 25, 3136-3167.
10. Ambegaokar, V., B. I. Halperin, D. R. Nelson, and E. D. Siggia, 1980, " Dynamics of superfluid films, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.21.1806 21, 1806-1826.
11. Andronikashvili, E. L., 1946, " Direct observation of two types of motion in helium II, " J. Phys. (Moscow) JOPYA6 0368-3400 10, 201.
12. Aouaroun, T., and G. Ahlers, 2007, " Specific heat of He4 confined in cylindrical micro-channels and near the superfluid transition, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/s10909-007-9515-6 149, 209-221.
13. Baker, G. A., Jr., 1990, Quantitative Theory of Critical Phenomena (Academic, Boston).
14. Barber, M. N., 1973, " Critical phenomena in systems of finite thickness. II. Ideal Bose gas, " Aust. J. Phys. AUJPAS 0004-9506 26, 483-500.
15. Barber, M. N., 1977, " Helicity modulus for an ideal Bose fluid, " J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/10/8/012 10, 1335-1343.
16. Barber, M. N., 1983, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. Lebowitz, (Academic, New York), Vol. 8, pp. 146-259.
17. Barber, M. N., and M. E. Fisher, 1973, " Critical phenomena in systems of finite thickness. III. Specific heat of an ideal boson film, " Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.8.1124 8, 1124-1135.
18. Barmatz, M., I. Hahn, J. Lipa, and R. Duncan, 2007, " Critical phenomena in microgravity: Past, present, and future, " Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.79.1 79, 1-52.
19. Berezinskii, V., 1971, " Destruction of long range order in one-dimensional and two-dimensional systems having a continuous symmetry group. I. Classical systems, " Sov. Phys. JETP SPHJAR 0038-5646 32, 493.
20. Bhattacharjee, J. K., and R. A. Ferrell, 2003, " Effect of confinement on the critical specific heat of liquid helium near the lambda point, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1023793125150 132, 55-76.
21. Bishop, D. J., and J. D. Reppy, 1978, " Study of the superfluid transition in two-dimensional He4 films, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.40.1727 40, 1727-1730.
22. Bishop, D. J., and J. D. Reppy, 1980, " Study of the superfluid transition in two-dimensional He4 films, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.22.5171 22, 5171-5185.
23. Blöte, H. W. J., and M. P. Nightingale, 1982, " Critical behaviour of the two-dimensional Potts model with a continuous number of states; A finite size scaling analysis, " Physica A PHYADX 0378-4371 10.1016/0378-4371(82)90187-X 112, 405-465.
24. Bretz, M., 1973, " Heat capacity of multilayer He4 on graphite, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.31.1447 31, 1447-1450.
25. Brewer, D. F., 1970, " Some thermal, magnetic, and flow properties of adsorbed He and He3-He4 mixtures, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00628144 3, 205-224.
26. Brewer, D. F., and K. Mendelssohn, 1961, " Transfer of the unsaturated helium II film, " Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 260, 1-12.
27. Brewer, D. F., A. J. Symonds, and A. L. Thomson, 1965, " Gapless surface excitations in liquid helium, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.15.182 15, 182-184.
28. Brézin, E., 1982, " An investigation of finite size scaling, " J. Phys. (France) JOPQAG 0302-0738 10.1051/jphys:0198200430101500 43, 15-22.
29. Brooks, J. S., B. B. Sabo, P. C. Schubert, and W. Zimmermann, Jr., 1979, " Helmholtz-resonator measurements of the superfluid density of liquid He4 in submicrometer-diameter channels, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.19.4524 19, 4524-4544.
30. BURLE Electro-Optics Inc., Sturbridge Business Park, P.O. Box 1165, Sturbridge, MA 01566.
31. Campostrini, M., M. Hasenbusch, A. Pelissetto, P. Rossi, and E. Vicari, 2001, " Critical behavior for the three-dimensional XY universality class, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.214503 63, 214503.
32. Cardy, J. L., 1988, Ed., Finite-Size Scaling, Current Physics- Sources and Comments No. 2 (North-Holland, Amsterdam).
33. Casimir, H. B. G., 1948, " On the attraction between two perfectly conducting plates, " Proc. K. Ned. Akad. Wet. PKNAAU 0370-0348 51, 793.
34. Chalyy, K., 2004, " Heat capacity of cylindrically confined helium: Theoretical predictions versus experimental data, " Low Temp. Phys. LTPHEG 1063-777X 10.1063/1.1802933 30, 686-690.
35. Chen, T.-P., 1978, Ph.D. thesis (University at Buffalo, the State University of New York, Buffalo).
36. Chen, T. P., M. J. DiPirro, B. Bhattacharyya, and F. M. Gasparini, 1980, " Some properties of Nuclepore filters, " Rev. Sci. Instrum. RSINAK 0034-6748 10.1063/1.1136288 51, 846-848.
37. Chen, T.-P., and F. M. Gasparini, 1977, " Specific heat of unsaturated He4 films near Tλ, " Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(77)90780-0 62A, 231-233.
38. Chen, T.-P., and F. M. Gasparini, 1978, " Scaling of the specific heat of confined helium near Tλ, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.40.331 40, 331-333.
39. Chen, X. S., and V. Dohm, 1999, " Violation of finite-size scaling in three dimensions, " Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050901 10, 687-703.
40. Chen, X. S., and V. Dohm, 2000, " Relation between bulk order-parameter correlation function and finite-size scaling, " Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510051127 15, 283-296.
41. Chen, X. S., and V. Dohm, 2004, " Nonuniversal finite-size scaling in anisotropic systems, " Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.056136 70, 056136.
42. Chen, X. S., V. Dohm, and N. Schultka, 1996, " Order-parameter distribution function of finite O(n) symmetric systems, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.3641 77, 3641-3644.
43. Cheng, E., M. W. Cole, W. F. Saam, and J. Treiner, 1991, " Helium prewetting and nonwetting on weak-binding substrates, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.1007 67, 1007-1010.
44. Chester, M., and L. C. Yang, 1973, " Superfluid fraction in thin helium films, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.31. 1377 31, 1377-1380.
45. Clow, J. R., and J. D. Reppy, 1966, " Temperature dependence of the superfluid density in He II near Tλ, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.16.887 16, 887-889.
46. Cole, M. W., and W. F. Saam, 1974, " Excitation spectrum and thermodynamic properties of liquid films in cylindrical pores, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.32.985 32, 985-988.
47. Coleman, M., and J. A. Lipa, 1995, " Heat capacity of helium confined to 8-μm cylinders near the λ point, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.286 74, 286-289.
48. De Dominicis, C., and L. Peliti, 1978, " Field-theory renormalization and critical dynamics above Tc: Helium, antiferromagnets, and liquid-gas systems, " Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.18.353 18, 353-376.
49. Diaz-Avila, M., 2006, Ph.D. thesis (University at Buffalo, the State University of New York, Buffalo).
50. Diaz-Avila, M., F. M. Gasparini, and M. O. Kimball, 2004, " Behavior of He4 near Tλ in films of infinite and finite lateral extent, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/B:JOLT.0000012617.06353.17 134, 613-618.
51. Dingus, M., F. Zhong, and H. Meyer, 1986, " Thermal transport properties in helium near the superfluid transition. I. He4 in the normal phase, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00683973 65, 185-212.
52. Dionne, R. J., and R. B. Hallock, 1989, in Quantum Fluids and Solids-1991, edited by, G. G. Ihas, and, Y. Takano, AIP Conf. Proc. No. 194 (AIP, New York), pp. 199-200.
53. Dohm, V., 1978, " Discontinuity of the dynamic critical exponents of O(n)-symmetric systems, " Z. Phys. B ZPBBDJ 0340-224X 10.1007/BF01352358 31, 327-331.
54. Dohm, V., 1985, " Nonuniversal critical phenomena along the lambda line of He4. II. Thermal conductivity in three dimensions, " Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01307776 61, 193-204.
55. Dohm, V., 1991, " Renormalization-group flow equations of model F, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.44.2697 44, 2697-2712.
56. Dohm, V., 1993, " The superfluid transition in confined He4: Renormalization-group theory, " Phys. Scr. PHSTBO 0031-8949 T49, 46-58.
57. Dohm, V., 2006, " Model F in two-loop order and the thermal conductivity near the superfluid transition of He4, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.092503 73, 092503.
58. Dohm, V., 2008, e-print arXiv:0801.4096v1.
59. Dohm, V., and R. Folk, 1981, " Nonlinear dynamic renormalization-group analysis above and below the superfluid transition in He4, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.46.349 46, 349-352.
60. Domb, C., 1996, The Critical Point (Taylor & Francis, London).
61. Duncan, R. V., G. Ahlers, and V. Steinberg, 1987, " Singularity in the Kapitza resistance between gold and superfluid He4 near Tλ, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.377 58, 377-380.
62. Dzyaloshinskii, I. E., E. M. Lifshitz, and L. P. Pitaevskii, 1961, " The general theory of van der Waals forces, " Adv. Phys. ADPHAH 0001-8732 10.1080/00018736100101281 10, 165-209.
63. Ferdinand, A. E., and M. E. Fisher, 1969, " Bounded and inhomogeneous Ising models. I. Specific-heat anomaly of a finite lattice, " Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.185.832 185, 832-846.
64. Ferrell, R. A., N. Menyhárd, H. Schmidt, F. Schwabl, and P. Szépfalusy, 1967, " Dispersion in second sound and anomalous heat conduction at the lambda point of liquid helium, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.18.891 18, 891-894.
65. Ferrell, R. A., N. Menyhard, H. Schmidt, F. Schwabl, and P. Szépfalusy, 1968, " Fluctuations and lambda phase transition in liquid helium, " Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(68) 90214-5 47, 565.
66. Finotello, D., and F. M. Gasparini, 1985, " Universality of the Kosterlitz-Thouless transition in He4 films as a function of thickness, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.55.2156 55, 2156-2159.
67. Finotello, D., Y. Y. Yu, and F. M. Gasparini, 1990, " Universal behavior of He4 films as a function of thickness near the Kosterlitz-Thouless transition, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.41.10994 41, 10994-11010.
68. Fisher, M., and P.-G. de Gennes, 1978, " Wall phenomena in a critical binary mixture, " C. R. Acad. Sci., Ser. B 287, 207-209.
69. Fisher, M. E., 1971, in Critical Phenomenon, Proceedings of the 51st "Enrico Fermi" Summer School, Varenna, Italy, edited by, M. Green, (Academic, New York), pp. 1-97.
70. Fisher, M. E., and M. N. Barber, 1972, " Scaling theory for finite-size effects in the critical region, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.28.1516 28, 1516-1519.
71. Fisher, M. E., and R. J. Burford, 1967, " Theory of critical-point scattering and correlations. I. The Ising model, " Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.156.583 156, 583-622.
72. Fisher, M. E., and A. E. Ferdinand, 1967, " Interfacial, boundary, and size effects at critical points, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.19.169 19, 169-172.
73. Folk, R., and G. Moser, 2002, " Dynamic critical behavior near the superfluid transition in He3 - He4 Mixtures in two loop order, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.125301 89, 125301.
74. Frank, D., and V. Dohm, 1989, " Critical thermal boundary resistance of He4 near Tλ, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.1864 62, 1864-1867.
75. Frank, D., and V. Dohm, 1990, " Critical thermal resistance of confined 4He above Tλ, " Physica B PHYBE3 0921-4526 165-166, 543-544.
76. Frederikse, H. P. R., 1949, " On the specific heat of adsorbed helium, " Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(49)90127-5 15, 860-862.
77. Ganshin, A., S. Scheidemantel, R. Garcia, and M. H. W. Chan, 2006, " Critical Casimir force in He4 films: Confirmation of finite-size scaling, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.075301 97, 075301.
78. Garcia, R., and M. H. W. Chan, 1999, " Critical fluctuation-induced thinning of He4 films near the superfluid transition, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.1187 83, 1187-1190.
79. Gasparini, F. M., G. Agnolet, and J. D. Reppy, 1984, " Failure of bulk-correlation-length scaling for the superfluid density of confined He4, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.29.138 29, 138-149.
80. Gasparini, F. M., T.-P. Chen, and B. Bhattacharyya, 1981, " Corrections to scaling and surface specific heat of confined helium, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.23.5797 23, 5797-5814.
81. Gasparini, F. M., and A. A. Gaeta, 1978, " Universality of the specific heat of He3 - He4 mixtures at the λ transition, " Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.17.1466 17, 1466-1471.
82. Gasparini, F. M., M. O. Kimball, and S. Mehta, 2001, " Adiabatic fountain resonance for He4 and He3 - He4 mixtures, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1012967823431 125, 215-238.
83. Gasparini, F. M., and S. Mehta, 1998, " Temperature oscillations of an adiabatic superleak, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1022528631749 110, 293-296.
84. Gasparini, F. M., and S. Mhlanga, 1986, " Fractal surface dimensionality and finite-size scaling at the superfluid transition of confined He4, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.33.5066 33, 5066-5069.
85. Gasparini, F. M., and M. R. Moldover, 1969, " Specific heat of mixtures mixtures very near the λ line, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.23.749 23, 749-752.
86. Gasparini, F. M., and M. R. Moldover, 1975, " Specific heat of He4 and He3 - He4 mixtures at their λ transition, " Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.12.93 12, 93-113.
87. Gasparini, F. M., and I. Rhee, 1992, in Progress in Low Temperature Physics, edited by, D. F. Brewer, (North-Holland, New York), Vol. 13, pp. 1-90.
88. Genio, E., D. Murphy, G. Ahlers, F. Liu, and Y. Liu, 2005, " Scaling and universality of the thermal conductivity of liquid He4 near the superfluid transition and in restricted geometries, " Adv. Space Res. ASRSDW 0273-1177 10.1016/j.asr.2003.03.046 35, 87-91.
89. Ginzburg, V. L., and L. P. Pitaevskii, 1958, " On the theory of superfluidity, " Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 34, 1240
90. Ginzburg, V. L., and L. P. Pitaevskii, " On the theory of superfluidity, " [Sov. Phys. JETP SPHJAR 0038-5646 7, 858 (1958)].
91. Ginzburg, V. L., and A. A. Sobyanin, 1976, " Superfluidity of helium II near the λ -point, " Sov. Phys. Usp. SOPUAP 0038-5670 10, 773.
92. Ginzburg, V. L., and A. A. Sobyanin, 1982, " On the theory of superfluidity of helium II near the λ point, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00681899 49, 507-543.
93. Ginzburg, V. L., and A. A. Sobyanin, 1987, " Superfluidity of helium II near the λ -point, " Jpn. J. Appl. Phys., Part 1 JAPNDE 0021-4922 26, 1785.
94. Giordano, N., 1983, " Experimental study of the flow of liquid He4 through very small channels: Finite-size effects near Tλ, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.27.5447 27, 5447-5459.
95. Goldner, L. S., and G. Ahlers, 1992, " Superfluid fraction of He4 very close to Tλ, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.13129 45, 13129-13132.
96. Goldner, L. S., N. Mulders, and G. Ahlers, 1993, " Second sound very near Tλ, " J. Low Temp. Phys. JLTPAC 0022-2291 93, 125-176.
97. Gösele, U., and Q.-Y. Tong, 1998, " Semiconductor wafer bonding, " Annu. Rev. Mater. Sci. ARMSCX 0084-6600 10.1146/annurev.matsci. 28.1.215 28, 215-239.
98. Graf, E. H., D. M. Lee, and J. D. Reppy, 1967, " Phase separation and the superfluid transition in liquid He3 - He4 Mixtures, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.19.417 19, 417-419.
99. Greywall, D. S., and G. Ahlers, 1972, " Second-sound velocity, scaling, and universality in He II under pressure near the superfluid transition, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.28.1251 28, 1251-1254.
100. Greywall, D. S., and G. Ahlers, 1973, " Second-sound velocity and superfluid density in He4 under pressure near Tλ, " Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.7.2145 7, 2145-2162.
101. Griffiths, R. B., 1970, " Dependence of critical indices on a parameter, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.24.1479 24, 1479-1482.
102. Halperin, B. I., and P. C. Hohenberg, 1967, " Generalization of scaling laws to dynamical properties of a system near its critical point, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.19.700 19, 700-703.
103. Halperin, B. I., and P. C. Hohenberg, 1969, " Scaling laws for dynamic critical phenomena, " Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.177.952 177, 952-971.
104. Halperin, B. I., P. C. Hohenberg, and E. D. Siggia, 1974, " Renormalization-group calculations of divergent transport coefficients at critical points, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 32.1289 32, 1289-1292.
105. Henkel, R. P., 1971, Ph.D. thesis (Cornell University, Ithaca, NY).
106. Henkel, R. P., E. N. Smith, and J. D. Reppy, 1969, " Temperature dependence of the superfluid healing length, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.23.1276 23, 1276-1279.
107. Hess, G. B., and R. J. Muirhead, 1982, " Superfluidity in thin He4 films: Comparison of onset on particular crystal facets and on disordered substrates, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00681898 49, 481-506.
108. Hohenberg, P. C., and B. I. Halperin, 1977, " Theory of dynamic critical phenomena, " Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 49.435 49, 435-479.
109. Hucht, A., 2007, " Thermodynamic Casimir effect in He4 films near Tλ: Monte Carlo results, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.185301 99, 185301.
110. Huhn, W., and V. Dohm, 1988, " Possible resolution of the finite-size scaling problem in He4, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.1368 61, 1368-1371.
111. Ihas, G. G., and F. Pobell, 1974, " Correlation length, finite-geometry effects, and universality in pressurized superfluid helium near Tλ, " Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.9.1278 9, 1278-1296.
112. Ikushima, A., and G. Terui, 1973, " Superfluid density near the lambda point of He4 under pressure, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00654917 10, 397-405.
113. Jerebets, S., Y. Liu, F. Liu, and G. Ahlers, 2007, " Finite-size effects on the thermal resistivity of He4 near the superfluid transition, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/s10909-006-9278-5 146, 471-483.
114. Joseph, R. A., and F. M. Gasparini, 1982, " Conductance and non-linear behavior of a He4 film at the superfluid transition, " Physica B & C PHBCDQ 0378-4363 109-110, 2102-2104.
115. Josephson, B. D., 1966, " Relation between the superfluid density and order parameter for superfluid He near Tc, " Phys. Lett. PHLTAM 0031-9163 10.1016/0031-9163(66)90088-6 21, 608-609.
116. Kadanoff, L. P., 1971, in Critical Phenomenon Proceedings of the 51st "Enrico Fermi" Summer School, Varenna, Italy, edited by, M. Green, (Academic, New York), pp. 100-151.
117. Kagiwada, R. S., J. C. Fraser, I. Rudnick, and D. Bergman, 1969, " Superflow in helium films: Third-sound measurements, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.22.338 22, 338-342.
118. Kahn, A. M., and G. Ahlers, 1995, " Thermal conductivity of He4 near the superfluid transition in a restricted geometry, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.944 74, 944-947.
119. Kimball, M. O., 2005, Ph.D. thesis (University at Buffalo, the State University of New York, Buffalo).
120. Kimball, M. O., M. Diaz-Avila, and F. M. Gasparini, 2003, " He4 confined to 1 μ m3 boxes, 0D crossover, surface and edge effects, " Physica B PHYBE3 0921-4526 329-333, 286.
121. Kimball, M. O., and F. M. Gasparini, 2000, " Specific heat of He4 confined to 9869 Å planar geometry, " Physica B PHYBE3 0921-4526 10.1016/S0921-4526(99)02010-4 284-288, 47-48.
122. Kimball, M. O., and F. M. Gasparini, 2001, " Superfluid fraction of He3 - He4 mixtures confined at 0.0483 μm between silicon wafers, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1558 86, 1558-1561.
123. Kimball, M. O., and F. M. Gasparini, 2002, " Critical behavior and scaling of confined He3 - He4 Mixtures, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1013723018869 126, 103-108.
124. Kimball, M. O., and F. M. Gasparini, 2005, " Universality and finite-size scaling of the specific heat of He3 - He4 mixtures, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.165701 95, 165701.
125. Kimball, M. O., and F. M. Gasparini, 2006, in 24th International Conference on Low Temperature Physics (LT24), edited by, Y. Takano, S. P. Hershfield, S. O. Hill, P. J. Hirschfeld, and, A. M. Goldman, AIP Conf. Proc. No. 850 (AIP, Melville, NY), pp. 125-126.
126. Kimball, M. O., S. Mehta, and F. M. Gasparini, 2000, " Specific heat near the superfluid transition of a 0.9869 μm He4 film, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1026452425148 121, 29-51.
127. Kimball, M. O., K. P. Mooney, and F. M. Gasparini, 2004, " Three-dimensional critical behavior with 2D, 1D, and 0D dimensionality crossover: Surface and edge specific heats, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.115301 92, 115301.
128. Kleinert, H., 2000, " Theory and satellite experiment for critical exponent α of λ -transition in superfluid helium, " Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(00)00688-5 277, 205-211.
129. Kosterlitz, J. M., and D. J. Thouless, 1972, " Long range order and metastability in two dimensional solids and superfluids, " J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/5/11/002 5, L124.
130. Kosterlitz, J. M., and D. J. Thouless, 1973, " Ordering, metastability and phase transitions in two-dimensional systems, " J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/6/7/010 6, 1181-1203.
131. Kotsubo, V., and G. A. Williams, 1984, " Kosterlitz-Thouless superfluid transition for helium in packed powders, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.53.691 53, 691-694.
132. Krech, M., 1994, The Casimir Effect in Critical Systems (World Scientific, Singapore).
133. Krech, M., and S. Dietrich, 1992, " Free energy and specific heat of critical films and surfaces, " Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.1886 46, 1886-1921.
134. Landau, L. D., 1937, Phys. Z. Sowjetunion PHZSAL 0369-9811 11, 545.
135. Landau, L. D., 1941, J. Phys. (USSR) JOPYA6 0368-3400 5, 71.
136. Landau, L. D., 1965, in Collected Papers of L. D. Landau, edited by, D. T. Haar, (Pergamon, Oxford), pp. 193-216.
137. Landau, L. D., and E. M. Lifshitz, 1959, Statistical Physics (Pergamon, Oxford).
138. Lee, S. D., 1977, Ph.D. thesis (University at Buffalo, the State Univeristy of New York, Buffalo).
139. Lipa, J. A., and T. C. P. Chui, 1983, " Very high-resolution heat-capacity measurements near the lambda point of helium, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.51.2291 51, 2291-2294.
140. Lipa, J. A., and T. C. P. Chui, 1984, " Preliminary results from high resolution heat capacity measurements near the lambda-line of He2 - He4 mixtures, " Physica B & C PHBCDQ 0378-4363 10.1016/0378-4363(84)90215-8 126, 481-482.
141. Lipa, J. A., and T. C. P. Chui, 1987, " High-resolution thermal-conductivity measurements near the lambda point of helium, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.1340 58, 1340-1343.
142. Lipa, J. A., M. Coleman, and D. A. Stricker, 2001, " Specific heat of helium confined to cylinders near the lambda point, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1017571102478 124, 443-460.
143. Lipa, J. A., and Q. Li, 2007, " Thermal conductivity and critical boundary resistance of helium near the lambda point, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/s10909-007-9493-8 149, 1-27.
144. Lipa, J. A., J. A. Nissen, D. A. Stricker, D. R. Swanson, and T. C. P. Chui, 2003, " Specific heat of liquid helium in zero gravity very near the lambda point, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.174518 68, 174518.
145. Lipa, J. A., D. R. Swanson, J. A. Nissen, Z. K. Geng, P. R. Williamson, D. A. Stricker, T. C. P. Chui, U. E. Israelsson, and M. Larson, 2000, " Specific heat of helium confined to a 57 μm planar geometry near the lambda point, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.4894 84, 4894-4897.
146. Lipa, J. A., D. R. Swanson, J. A. Nissen, P. R. Swanson, J. A. Nissen, P. R. Williamson, Z. K. Geng, D. A. Stricker, T. C. P. Chui, U. E. Israelsson, and M. Larson, 1998, " Preliminary results from a shuttle mission to measure the heat capacity of confined helium near the lambda point, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1022598705146 113, 849-860.
147. Long, E., and L. Meyer, 1955, " Superfluidity and heat transport in the unsaturated helium-II film, " Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.98.1616 98, 1616-1622.
148. Lutz, H., P. Scoboria, J. E. Crow, and T. Mihalisin, 1978, " Effects of finite size on critical phenomena: The resistivity anomaly in Ni films, " Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.18.3600 18, 3600-3611.
149. Magnum, B. W., and G. T. Furukawa, 1990, " Guidelines for realizing the international temperature scale of 1990 (ITS-90), " NIST Technical Note 1265.
150. Mamaladze, Y. G., 1967, " Parameters of phenomenological superfluidity theory and the λ -point shift, " Sov. Phys. JETP SPHJAR 0038-5646 25, 479-484.
151. Maps, J., and R. B. Hallock, 1981, " Onset of superfluid flow in He4 films adsorbed on mylar, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.47.1533 47, 1533-1536.
152. Mastrangelo, S. V. R., and J. G. Aston, 1951, " Thermodynamic data and some notes on the nature of adsorbed helium, " J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1748061 19, 1370-1375.
153. Maynard, J. D., and M. H. W. Chan, 1982, " Third sound on HOPG surface, " Physica B & C PHBCDQ 0378-4363 109-110, 2090-2092.
154. McQueeney, D. F., 1988, Ph.D. thesis (Cornell University, Ithaca NY).
155. Mehta, S., 1998, Ph.D. thesis (University at Buffalo, the State University of New York, Buffalo).
156. Mehta, S., and F. M. Gasparini, 1997, " Specific heat and scaling of He4 confined in a planar geometry, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.2596 78, 2596-2599.
157. Mehta, S., and F. M. Gasparini, 1998, " High resolution calorimetry on μ mole samples of He4 near Tλ, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1022576514910 110, 287-292.
158. Mehta, S., M. O. Kimball, and F. M. Gasparini, 1998, " He4 confined in 0.0483 μm planar geometry, specific heat and scaling near Tλ, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1022595927244 113, 435.
159. Mehta, S., M. O. Kimball, and F. M. Gasparini, 1999, " Superfluid transition of He4 for two-dimensional crossover, heat capacity, and finite-size scaling, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1021858305720 114, 467-521.
160. Minnhagen, P., 1987, " The two-dimensional Coulomb gas, vortex unbinding, and superfluid-superconducting films, " Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.59.1001 59, 1001-1066.
161. Mohr, U., and V. Dohm, 2000, " Surface specific heat of confined He4 above and below T, " Physica B PHYBE3 0921-4526 10.1016/S0921-4526(99) 02007-4 284, 43-44.
162. Mooney, K. P., 2006, Ph.D. thesis, (University at Buffalo, the State University of New York, Buffalo).
163. Mooney, K. P., and F. M. Gasparini, 2002, " van der Waals effects at the superfluid transition of confined He4, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1013720412934 126, 247-253.
164. Mooney, K. P., M. O. Kimball, and F. M. Gasparini, 2004, " Specific heat of He4 confined in channels of 1 m square cross-section, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/B:JOLT.0000012616.68715.56 134, 607-612.
165. Mooney, K. P., M. O. Kimball, and F. M. Gasparini, 2006, "Specific heat of helium in 2 μ m3 boxes, coupled or uncoupled?," 24th International Conference on Low Temperature Physics (LT24), edited by, Y. Takano, S. P. Hershfield, S. O. Hill, P. J. Hirschfeld, and, A. M. Goldman, AIP Conf. Proc. No. 850 (AIP, Melville, NY), pp. 129-130.
166. Mueller, K. H., F. Pobell, and G. Ahlers, 1975, " Thermal-expansion coefficient and universality near the superfluid transition of He4 under pressure, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.34.513 34, 513-516.
167. Murphy, D., E. Genio, G. Ahlers, and F. L. Y. Liu, 2003, " Finite-size scaling and universality of the thermal resistivity of liquid He4 near Tλ, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90. 025301 90, 025301.
168. Nacher, P. J., and J. Dupont-Roc, 1991, " Experimental evidence for nonwetting with superfluid helium, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.2966 67, 2966-2969.
169. Nelson, D. R., and J. M. Kosterlitz, 1977, " Universal jump in the superfluid density of two-dimensional superfluids, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.39.1201 39, 1201-1205.
170. Nho, K., and E. Manousakis, 2003, " Heat-capacity scaling function for confined superfluids, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.174503 68, 174503.
171. Nightingale, M. P., 1976, " Scaling theory and finite systems, " Physica A PHYADX 0378-4371 10.1016/0378-4371(75)90021-7 83, 561-572.
172. Nissen, J. A., D. R. Swanson, Z. K. Geng, K. Kim, P. Day, and J. A. Lipa, 2000, " Superfluid density as a function of temperature and pressure near the lambda line, " Physica B PHYBE3 0921-4526 284-288, 51-52.
173. Notarys, H. A., 1969, " Pressure-driven superfluid helium flow, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.22.1240 22, 1240-1242.
174. Okaji, M., and T. Watanabe, 1978, " Heat capacity near the lambda point in He4 under pressure. Experimental test of scaling laws and universality, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00117970 32, 555-569.
175. Onsager, L., 1944, " Crystal statistics. I. A two-dimensional model with an order-disorder transition, " Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.65.117 65, 117-149.
176. Privman, V., 1990, "Finite-size scaling theory," in Finite Size Scaling and Numerical Simulations of Statistical Systems, edited by, V. Privman, (World Scientific, Singapore), pp. 1-98.
177. Privman, V., and M. E. Fisher, 1984, " Universal critical amplitudes in finite-size scaling, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.30.322 30, 322-327.
178. Privman, V., P. C. Hohenberg, and A. Aharony, 1991, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, New York), Vol. 14, pp. 1-134.
179. Reppy, J. D., 1992, " Superfluid helium in porous media, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00114905 87, 205-245.
180. Rhee, I., D. J. Bishop, A. Petrou, and F. M. Gasparini, 1990, " Si wafers uniformly spaced; bonding and diagnostics, " Rev. Sci. Instrum. RSINAK 0034-6748 10.1063/1.1141166 61, 1528-1536.
181. Rhee, I., F. M. Gasparini, and D. J. Bishop, 1989, " Finite-size scaling of the superfluid density of He4 confined between silicon wafers, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.63.410 63, 410-413.
182. Roth, J. A., G. J. Jelatis, and J. D. Maynard, 1980, " Third-sound velocity and onset on grafoil, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.44.333 44, 333-337.
183. Saam, W. F., and M. W. Cole, 1975, " Excitations and thermodynamics for liquid-helium films, " Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.11.1086 11, 1086-1105.
184. Sabisky, E. S., and C. H. Anderson, 1973, " Onset for superfluid flow in He4 films on a variety of substrates, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.30.1122 30, 1122-1125.
185. Schmolke, R., A. Wacker, V. Dohm, and D. Frank, 1990, " Specific heat and superfluid density of confined He4 near Tλ, " Physica B PHYBE3 0921-4526 165-166, 575-576.
186. Scholtz, J. H., E. O. McLean, and I. Rudnick, 1974, " Third sound and the healing length of He II in films as thin as 2.1 atomic layers, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.32.147 32, 147-151.
187. Schubert, P. C., and W. Zimmermann, Jr., 1981, " Measurements of superfluid densities and critical superfluid mass currents of pure He4 and He3 - He4 mixtures in Nuclepore near the lambda transition, " J. Low Temp. Phys. JLTPAC 0022-2291 41, 177-207.
188. Schultka, N., and E. Manousakis, 1995, " Scaling of the specific heat in superfluid films, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.2710 75, 2710-2713.
189. Schultka, N., and E. Manousakis, 1997, " Boundary effects in superfluid films, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1022249801742 109, 733-762.
190. Schultka, N., and E. Manousakis, 1998, " Scaling of the specific heat of superfluids confined in pores, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1022227006671 111, 783-791.
191. Selke, W., and L. N. Shchur, 2005, " Critical Binder cumulant in two-dimensional anisotropic Ising models, " J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/44/L03 38, L739.
192. Sherlock, R. A., and D. O. Edwards, 1970, " Oscillating superleak second sound transducers, " Rev. Sci. Instrum. RSINAK 0034-6748 10.1063/1.1684354 41, 1603-1609.
193. Singsaas, A., and G. Ahlers, 1984, " Universality of static properties near the superfluid transition in He4, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.30.5103 30, 5103-5115.
194. Smith, D. T., K. M. Godshalk, and R. B. Hallock, 1987, " Adsorption and capillary condensation of He4 on Nuclepore: Third-sound and capacitance measurements, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.36.202 36, 202-216.
195. Smith, E. N., 1971, Ph.D. thesis (Cornell University, Ithaca. NY)
196. Sobnack, M. B., and F. V. Kusmartsev, 2001, " Suppression of superconductivity in mesoscopic superconductors, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.716 86, 716-719.
197. Sobnack, M. B., and F. V. Kusmartsev, 2002, " Phase transitions driven by single-vortex excitations in confined geometries, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1013754815177 126, 517-526.
198. Sobyanin, A. A., 1972, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 63, 1780
199. Sobyanin, A. A., [Sov. Phys. JETP SPHJAR 0038-5646 36, 941 (1973)].
200. Steele, L. M., C. J. Yeager, and D. Finotello, 1993, " Precision specific-heat studies of thin superfluid films, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.3673 71, 3673-3676.
201. Sullivan, P. F., and G. Seidel, 1968, " Steady-state, ac-temperature calorimetry, " Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.173.679 173, 679-685.
202. Sutter, P., and V. Dohm, 1994, " Specific heat of confined He4 near Tλ in 3 dimensions, " Physica B PHYBE3 0921-4526 613, 194-196.
203. Suzuki, M., 1977, " Static and dynamic finite-size scaling theory based on the renormalization group approach, " Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.58.1142 58, 1142-1150.
204. Symonds, A. J., 1965, Ph.D. thesis (University of Sussex, Brighton, UK).
205. Takada, T., and T. Watanabe, 1980, " Specific heat near the lambda point in He4 and He3 mixtures: Test of universality of the critical exponent and the amplitude ratio, and observation of the critical-tricritical crossover effect, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00117937 41, 221.
206. Tam, W. Y., and G. Ahlers, 1985, " Thermal conductivity of He4 I from near Tλ to 3.6 K and vapor pressure to 30 bars, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.32.5932 32, 5932-5958.
207. Tam, W. Y., and G. Ahlers, 1986, " Thermal conductivity of He4 I near Tλ from vapor pressure to 28 bars: Comparison of experiment and theory, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.33.183 33, 183-196.
208. Teitel, S., 1982, " Third sound and thermal conduction in thin He4 films, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00655444 46, 77-96.
209. Terui, G., and A. Ikushima, 1972, " Superfluid density near the lambda point in He4 under pressure, " Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(72)90687-1 31A, 161.
210. Thomlinson, W. C., G. G. Ihas, and F. Pobell, 1973, " Finite-geometry effects and onset of superfluidity in He3 - He4 mixtures near Tλ, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.31.1284 31, 1284-1287.
211. Thomlinson, W. C., G. G. Ihas, and F. Pobell, 1975, " Finite-geometry effects, superfluid density, and universality in He3 - He4 mixtures near the superfluid transition, " Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.11.4292 11, 4292-4303.
212. Tong, Q.-Y., G. Cha, R. Gafiteanu, and U. Gösele, 1994, " Low temperature wafer direct bonding, " J. Microelectromech. Syst. JMIYET 1057-7157 10.1109/84.285720 3, 29-35.
213. Tong, Q.-Y., W. J. Kim, T.-H. Lee, and U. Gösele, 1998, " Low vacuum wafer bonding, " Electrochem. Solid-State Lett. ESLEF6 1099-0062 10.1149/1.1390632 1, 52-53.
214. Töpler, M., and V. Dohm, 2003, " Finite-size effects on the thermal conductivity of He4 near Tλ, " Proceedings of the 23rd International Conference on Low Temperature Physics [Physica B PHYBE3 0921-4526 329-333, 200-201].
215. Tyson, J. A., and D. H. Douglass, 1966, " Superfluid density and scaling laws for liquid helium near Tλ, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.17.472 17, 472-474.
216. Tyson, J. A., and D. H. Douglass, 1968, " Critical-region second-sound velocity in He II, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.21.1308 21, 1308-1310.
217. Umicore, Substrate Division, 12 Channel Street 702, Boston, MA 02210.
218. van de Laar, R. W. A., 1994, Ph.D. thesis (Leiden University, Leiden, The Netherlands).
219. van de Laar, R. W. A., A. van der Hock, and H. van Beelen, 1995, " Two-dimensional behaviour of very thin He4 films on glass, " Physica B PHYBE3 0921-4526 10.1016/0921-4526(95)00440-8 216, 24-36.
220. Vasilyev, D., A. Gambassi, A. Maciolek, and S. Dietrich, 2007, " Monte Carlo simulation results for critical Casimir forces, " Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/80/60009 80, 60009.
221. Wang, T. G., M. M. Saffren, E. E. Olli, and D. D. Elleman, 1974, " Onset phenomena in superfluid helium, " Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.33.1132 33, 1132-1135.
222. Wang, X., and F. M. Gasparini, 1988, " Near-monolayer He3 - He4 films: Two superfluid transitions and the He3 effective mass and binding energy, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.38.11245 38, 11245-11258.
223. Wang, X. F., I. Rhee, and F. M. Gasparini, 1990, " Calculation of van der Waals effects on correlation-length scaling near Tλ, " Physica B PHYBE3 0921-4526 165-166, 503.
224. Widom, B., 1965, " Surface tension and molecular correlations near the critical point, " J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1696617 43, 3892-3897.
225. Williams, G. A., 2006, " Anisotropic Kosterlitz-Thouless transition induced by hard-wall boundaries, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.214531 73, 214531.
226. Williams, R., S. E. A. Beaver, J. Fraser, R. S. Kagiwada, and I. Rudnick, 1969, " The velocity of second sound near Tλ, " Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(69)90383-1 29A, 279-280.
227. Wilson, K. G., 1971a, " Renormalization group and critical phenomena. I. Renormalization group and the Kadanoff scaling picture, " Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.4.3174 4, 3174-3183.
228. Wilson, K. G., 1971b, " Renormalization group and critical phenomena. II. Phase-space cell analysis of critical behavior, " Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.4.3184 4, 3184-3205.
229. Yu, Y. Y., D. Finotello, and F. M. Gasparini, 1989, " Finite-size scaling and the convective conductance and specific heat of planar helium films near the superfluid transition, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.6519 39, 6519-6526.
230. Yuyama, J., and T. Watanabe, 1982, " Superfluid transition of He4 films adsorbed on graphite substrates: A calorimetric study in connection with third-sound observations, " J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00681577 48, 331-348.
231. Zhang, C., K. Nho, and D. P. Landau, 2006, " Finite-size effects on the thermal resistivity of He4 in the quasi-two-dimensional geometry, " Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.174508 73, 174508.