Abstract
The energetics of superfluid films of 4 He adsorbed on planar substrates is studied. For this purpose, the energy per particle of the systems e is expressed as a polynomial expansion in powers of the inverse of coverage. The surface energy σA and the chemical potential μ, defined according to basic equations of thermodynamics, are written in terms of the proposed expansion. From the expression derived for the third-sound velocity c3 it is possible to estimate the prewetting jump. This formalism is applied for analyzing films adsorbed on alkali metal and H 2 surfaces. For all the examined substrates the determined energy per particle in the limit of films with infinite width, e∞ , is in agreement with the value for bulk liquid 4 He. The surface tensions and prewetting jumps obtained in the present work are compared with results of previous studies.
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REFERENCES
Proc. Inter. Symposium on Quantum Fluids and Solids, Cornell University, Ithaca, New York (June 1995), J. Low Temp. Phys. 101, Nos. 1/4 (1995).
Proc. Inter. Symposium on Quantum Fluids and Solids, Paris (June 1997), J. Low Temp. Phys. 110, Nos. 1/2 (1998).
E. Cheng, M. W. Cole, J. Dupont-Roc, W. F. Saam, and J. Treiner, Rev. Mod. Phys. 65, 557 (1993).
L. Szybisz and M. L. Ristig, Phys. Rev. B 40, 4391 (1989).
E. Cheng, M. W. Cole, W. F. Saam, and J. Treiner, Phys. Rev. Lett. 67, 1007 (1991); Phys. Rev. B 46, 13967 (1992) [Erratum 47, 14661 (1993)].
P. A. Whitlock, G. V. Chester, and M. H. Kalos, Phys. Rev. B 38, 2418 (1988).
P. J. Nacher and J. Dupont-Roc, Phys. Rev. Lett. 67, 2966 (1991); K. S. Ketola, S. Wang, and R. B. Hallock, 68, 201 (1992); P. Taborek and J. E. Rutledge, 68, 2184 (1992); J. E. Rutledge and P. Taborek, 69, 937 (1992).
A. F. G. Wyatt, J. Klier, and P. Stefanyi, Phys. Rev. Lett. 74, 1151 (1995).
J. Klier, P. Stefanyi, and A. F. G. Wyatt, Phys. Rev. Lett. 75, 3709 (1995); J. Klier and A. F. G. Wyatt, Czech. J. Phys. 46, 439 (1996); J. Low Temp. Phys. 110, 919 (1998).
E. Rolley and C. Ruthmann, J. Low Temp. Phys. 108, 1 (1997).
D. Ross, J. E. Rutledge, and P. Taborek, Science 278, 664 (1997); D. Ross, P. Taborek, and J. E. Rutledge, J. Low Temp. Phys. 111, 1 (1998).
B. E. Clements, E. Krotscheck, and C. J. Tymczak, J. Low Temp. Phys. 107, 387 (1997).
B. E. Clements, H. Forbert, E. Krotscheck, and M. Saarela, J. Low Temp. Phys. 95, 849 (1994).
E. Zaremba and W. Kohn, Phys. Rev. B 15, 1769 (1977).
A. Chizmeshya, M. W. Cole, and E. Zaremba, J. Low Temp. Phys. 110, 677 (1998).
S. A. Chin and E. Krotscheck, Phys. Rev. B 52, 10405 (1995).
H. M. Guo, D. O. Edwards, R. E. Sarwinski, and J. T. Tough, Phys. Rev. Lett. 27, 1259 (1971); D. O. Edwards and W. F. Saam, in Progress in Low Temperature Physics, D. F. Brewer (ed.), North-Holland, Amsterdam (1978), Vol. 7A, Chap. 4.
M. Iino, M. Suzuki, and A. J. Ikushima, J. Low Temp. Phys. 61, 155 (1985).
P. Roche, G. Deville, N. J. Appleyard, and F. I. B. Williams, J. Low Temp. Phys. 106, 565 (1997).
C. Ebner, W. F. Saam, and A. K. Sen, Phys. Rev. B 31, 6134 (1985); 32, 1558 (1985).
J. L. Vallés and K. E. Schmidt, Phys. Rev. B 38, 2879 (1988).
M. Wagner and D. M. Ceperley, J. Low Temp. Phys. 94, 185 (1994).
L. Szybisz, Phys. Rev. B 58, 109 (1998).
M. S. Pettersen and W. F. Saam, Phys. Rev. B 51, 15 369 (1995).
B. E. Clements, J. L. Epstein, E. Krotscheck, and M. Saarela, Phys. Rev. B 48, 7450 (1993).
E. Cheng and M. W. Cole, Phys. Rev. B 38, 987 (1989) and references therein.
W. F. Saam and V. B. Shenoy, J. Low Temp. Phys. 101, 225 (1995).
E. Cheng, W. F. Saam, M. W. Cole, and J. Treiner, J. Low Temp. Phys. 92, 11 (1993).
T. Young, Phil. Trans. Roy. Soc. London 95, 65 (1805).
D. M. Ceperley and E. L. Pollock, Phys. Rev. Lett. 56, 351 (1986).
M. H. Kalos, M. A. Lee, P. A. Whitlock, and G. V. Chester, Phys. Rev. B 24, 115 (1981).
P. J. Shirron and J. M. Mochel, Phys. Rev. Lett. 67, 1118 (1991); M.-T. Chen and J. M. Mochel, private communication displayed, for instance, in Fig. 19 of Ref. 22.
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Szybisz, L. Energetics, Surface Tension, and Prewetting Jump of Superfluid 4He Films Adsorbed on Planar Substrates. Journal of Low Temperature Physics 116, 215–230 (1999). https://doi.org/10.1023/A:1021837701177
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DOI: https://doi.org/10.1023/A:1021837701177