No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Material dependence of Casimir forces: Gradient expansion beyond proximity
1. H. B. G. Casimir, Proc. K. Ned. Akad. Wet. 51, 793 (1948).
2. V. A. Parsegian, Van der Waals Forces (Cambridge University Press, Cambridge, England, 2005).
3. M. Rose, Photonics Spectra 42, 77 (2008).
6. E. M. Lifshitz, Sov. Phys. JETP 2, 73 (1956).
9.The general case of two curved surfaces can always be reduced to this one, by exploiting the tilt invariance of the Casimir energy (Ref. 11).
11. G. Bimonte
, T. Emig
, R. L. Jaffe
, and M. Kardar
, e-print arXiv:1110.1082
, “Casimir forces beyond the proximity approximation,” Europhys. Lett.
12.To be precise, consider the one-parameter family of profiles possessing finite derivatives up to second order. For small , the leading term in Eq. (1) is generically of order (for bi-directionally curved surfaces), while the first correction proportional to is of order . Then, for the gradient expansion in Eq. (1) to be valid, we must have , where denotes an infinitesimal of order higher than n, such that .
14.We normalize the waves as in Ref. 15. Note though that the choice of normalization is irrelevant for the purpose of evaluating the trace in Eq. (6).
16. G. Bimonte, T. Emig, R. L. Jaffe, and M. Kardar, “ Casimir forces beyond proximity approximation: The gradient expansion” (unpublished).
18. Advances in the Casimir Effect, edited by M. Bordag, G. L. Klimchitskaya, U. Mohideen, and V. M. Mostepanenko (Oxford University Press, New York, 2009).
19. Handbook of Optical Constants of Solids, edited by E. D. Palik (Academic, New York, 1995).
Article metrics loading...
Full text loading...
Most read this month