Abstract
We calculate the fraction C F of atoms in the ground state of liquid 4He for a fluid density of 0.023 atom/»3 at various values of temperature and find a good fit with the law CF(T)=CF(0)[1−(T/Tλ)3], where Tλ is the transition temperature; this law gives C F = 2.3 % at T = 1.2 K, which agrees with the result of a recent high-energy neutron diffraction experiment. We further show that future experiments in the temperature range 1.8 K ⪝ T ⪝ Tλ with a statistical error of 1 % or larger will not detect the condensate. A single experiment is suggested to differentiate between our work and an ODLRO type of theory.
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References
F. London, Nature 141, 643 (1938).
J. Chela-Flores, J. Low Temp. Phys. 21, 307 (1975).
L. D. Landau, J. Phys. (USSR) 5, 71 (1941).
E. Madelung, Z. Phys. 40, 322 (1927).
J. H. Scholtz, E. O. McLean, and I. Rudnick, Phys. Rev. Lett. 32, 147 (1974).
S. J. Putterman, Superfluid Hydrodynamics (North-Holland, Amsterdam, 1974), Chapter 5.
H. A. Mook, R. Scherm, and M. K. Wilkinson, Phys. Rev. A 6, 2268 (1972).
L. J. Rodriguez, H. A. Gersh, and H. A. Mook, Phys. Rev. A 9, 2085 (1974).
F. W. Cummings, G. J. Hyland, and G. Rowlands, Phys. Kondens. Materie 12, 90 (1970).
H. Frohlich, Phys. Kondens. Materie 9, 350 (1969).
B. Mozer, L. A. De Graaf, and B. Le Neindre, Phys. Rev. A 9, 448 (1974).
H. J. Raveche and R. D. Mountain, Phys. Rev. A 9, 435 (1974).
R. D. Mountain and H. J. Raveche, J. Res. Nat. Bur. Std. 77A, 725 (1973).
E. K. Achter and L. Meyer, Phys. Rev. 188, 291 (1969).
W. L. Gordon, C. H. Shaw, and J. G. Daunt, J. Phys. Chem. Solids 5, 117 (1958).
D. G. Henshaw, Phys. Rev. 119, 9 (1960).
D. Schiff and L. Verlet, Phys. Rev. 160, 208 (1967).
G. V. Chester, Introductory Lectures on Liquid Helium Four and Three (15th International Scottish Summer School, St. Andrews, July 1974).
O. Penrose, Phil. Mag. 42, 1373 (1951).
O. Penrose and L. Onsager, Phys. Rev. 104, 576 (1956).
W. L. McMillan, Phys. Rev. 138A, 442 (1965).
M. H. Kalos, D. Levesque, and L. Verlet. Phys. Rev. A 9, 2178 (1974).
M. Schwarz, Phys. Rev. A 10, 1858 (1974).
W. P. Francis, G. V. Chester, and L. Reatto, Phys. Rev. A 1, 86 (1970).
W. C. Kerr, K. N. Pathak, and K. S. Singwi, Phys. Rev. A 2, 2416 (1970).
W. E. Massey, Phys. Rev. 151, 153 (1966).
G. J. Hyland and G. Rowlands, J. Low Temp. Phys. 7, 271 (1972).
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Chela-Flores, J. Condensate fraction of liquid 4He. J Low Temp Phys 23, 775–783 (1976). https://doi.org/10.1007/BF00116310
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DOI: https://doi.org/10.1007/BF00116310