Verification of the Lifshitz Theory of the van der Waals Potential Using Liquid-Helium Films

1973 ◽  
Vol 7 (2) ◽  
pp. 790-806 ◽  
Author(s):  
E. S. Sabisky ◽  
C. H. Anderson
1976 ◽  
Vol 37 (10) ◽  
pp. 255-259 ◽  
Author(s):  
J. Joffrin ◽  
B. Lambert ◽  
D. Salin
Keyword(s):  

Author(s):  
Yi Zheng ◽  
Arvind Narayanaswamy

Lifshitz theory of van der Waals (vdW) force and energy is strictly valid when the location at which the stress tensor is calculated is in vacuum. Generalization of Lifshitz theory to the case when the stress tensor is to be calculated in a dissipative material, as opposed to vacuum, is a surprisingly difficult undertaking because there is no expression for the electromagnetic stress tensor in dissipative materials. Here, we derive the expression for vdW force in planar dissipative media by calculating the Maxwell stress tensor in a fictious layer of vacuum, that is eventually made to vanish, introduced in the structure, without employing the complicated quantum field theoretic method proposed by Dzyaloshinskii, Lifshitz, and Pitaevskii. Even though this work has proven to be a corroboration of Dzyaloshinskii et al., it has thrown new light on our understanding of vdW forces and suggests that it should be possible to achieve the similar result for objects with arbitrary shapes.


1976 ◽  
Vol 31 (12) ◽  
pp. 1584-1588 ◽  
Author(s):  
Chr. St. Vassilieff ◽  
I. B. Ivanov

AbstractThe influence of different representations of the dispersion dependence ε (i ξ) on calculating van der Waals interactions from Lifshitz theory is studied. It is shown that with satisfactory accuracy ε (i ξ) can be described by means of Krupp's empirical formula [ε (i ξ) -1]/[ε (i ξ) +1] = a · exp(-b ξ). Making use of that formula a simple expression for the Hamaker function A (h, T) is obtained. Numerical calculations are carried out, the results being compared with those of other authors and with experimental data.


1991 ◽  
Vol 43 (13) ◽  
pp. 11384-11387 ◽  
Author(s):  
D. L. Lin ◽  
C. Y. Chen ◽  
P. W. Jin

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