Temperature dependence of atom-atom interactions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 60, Issue 3, 1999, Pages 2581-2584

  Wennerstrom H ^a   Daicic, J ^b,c   Ninham, B W ^a,d  

^a LUND UNIVERSITY   (Sweden)

^b INSTITUTE FOR SURFACE CHEMISTRY   (Sweden)

^c ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^d AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001568004     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.60.2581     Document Type: Article

References (30)

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15. Reference 12, Eq. (18). Note that there are two typographical errors there. The expression should read (Formula presented).
16. The replacement of sums over wave vectors by integrals implies that the atoms are in an infinite space, so that the blackbody spectrum is continuous and any nonzero temperature will fully thermally excite at least a subset of the continuous mode spectrum. The situation in a finite volume, where the spectrum is discretized, may well be different.
17. The analysis by Milonni and Smith 7 of the same problem using a stochastic electrodynamics approach should yield the same results. While they indeed recover the classical potential at high T, these authors place too strong a restriction in taking this limit by imposing (Formula presented) rather than (Formula presented).
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23. It is interesting to note that in their seminal paper, Ref. 17, Brown and Maclay refer to the expression in Eq. (14) as “(Formula presented) a purely classical term (the physical significance of which is unclear).”
24. Another source of temperature dependence might conceivably be through (Formula presented). This is, to a very good approximation, T independent for low temperatures such that (Formula presented).
25. M. Revzen, R. Opher, M. Opher, and A. Mann, Europhys. Lett. 38, 245 (1997)
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28. See, e.g., D. F. Evans and H. Wennerström, The Colloidal Domain: Where Physics, Chemistry, Biology and Technology Meet (VCH, New York, 1999).
29. As Chiu et al. 6 point out, the restriction to single-level excitations means that (Formula presented). With this restriction, the condition (Formula presented) then implies that (Formula presented), with a corresponding gas density of (Formula presented) atm.
30. A. D. McLachlan, Proc. R. Soc. London, Ser. A 274, 80 (1963).