On the problem of the static helium film
Author:
Publisher
Springer Science and Business Media LLC
Subject
Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics
Link
http://link.springer.com/content/pdf/10.1007/BF02812826.pdf
Reference14 articles.
1. S. Franchetti:Nuovo Cimento,4, 1504 (1956).
2. K. R. Atkins:Canad. Journ. Phys.,32, 347 (1954);Conférence de Physique des Basses Températures, Paris 1955, p. 100.
3. H. C. Kramers, J. Wasscher andC. J. Gorter:Physica,18, 329 (1952).
4. The contrary hypothesis ofC depending on direction may appear singular for a liquid. But in the particular case aimed at, namely helium films, a certain amount of uniaxicity would arise because the film is subject to strong forces normal to the wall. (See for instance the graph of density versus distance in Fig. 5, of ref. (1)). We come back to this point at the end of the section.
5. InAtkins’ treatment anegative term inλ D /t appears in the expression for the zero point energy, besides the (λ D /t)2 term, as for instance in eq. (19) ofCanad. Journ. Phys., ref. (2)). That would not be consistent with a minimum ofE 0 fort=∞. In fact, the sign should bepositive, the error arising from having inadvertently started withn s =0 (instead ofn s =1) the summation leading to eq. (16). The term in question disappears altogether by taking into account the minimum properties ofE 0, as has been done here.
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1. The general theory of van der Waals forces;Perspectives in Theoretical Physics;1992
2. Van der Waals forces in liquid films;Perspectives in Theoretical Physics;1992
3. Bose-Einstein condensation in finite noninteracting systems: A new law of corresponding states;Physical Review A;1974-05-01
4. Fluctuations and superfluidity in finite systems;Physics Letters A;1971-12
5. Helium Film Profile on a Gold and a Quartz Substrate;Canadian Journal of Physics;1971-11-01
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