The casimir free energy in high- and low-temperature limits
Svetovoy, V. and Esquivel, R. (2006) The casimir free energy in
high- and low-temperature limits. Journal of physics A:
mathematical and general, 39 . pp. 6777-6784. ISSN 0305-4470
open access Abstract:The problem with the temperature dependence
of the Casimir force is investigated. We analyse high-
temperature limit analytically making calculations at real
frequencies. The purpose is to answer the questionwhy there is
no continuous transition between real and ideal metals and why
the result does not depend on the relaxation frequency. It is
found that the contribution of evanescent s polarized fields is
finite even for an infinitely small relaxation frequency (plasma
model) and exactly cancels the contribution of propagating
fields. For the ideal metal the evanescent fields do not
contribute at all. The lowtemperature limit is analysed to
establish behaviour of the entropy at T → 0. It is stressed that
the nonlocal effects are important in this li