Temperature Dependence of the Casimir Effect.pdf

TEMPERATURE DEPENDENCE OF THE CASIMIR EFFECT I. Brevik1 5 Department of Energy and Process Engineering, Norwegian University of 0 0 Science and Technology, N-7491 Trondheim, Norway 2 c J. B. Aarseth2 e D Department of Structural Engineering, Norwegian University of Science and 0 Technology, N-7491 Trondheim, Norway 3 2 v 7 Abstract 3 0 In view of the increasing accuracy of Casimir experiments, there 1 1 is a need for performing accurate theoretical calculations. Using ac- 5 curate experimental data for the permittivities we present, via the 0 Lifshitz formula applied to the standard Casimir setup with two par- / h allel plates, accurate theoretical results in case of the metals Au, Cu p and Al. Both similar and dissimilar cases are considered. Concen- - t trating in particular on the finite temperature effect, we show how n a the Casimir pressure varies with separation for three different tem- u peratures, T = {1, 300, 350}K. The metal surfaces are taken to be q : perfectly plane. The experimental data for the permittivities are gen- v i erally yielding results that are in good agreement with those calculated X from the Drude relation with finite relaxation frequency. r We give the results in tabular form, in order to facilitate the a