Volume 72, Number 1, October 2005
|42 - 48
|31 August 2005
The Casimir force at high temperature
Institute of Theoretical Physics, Swiss Federal Institute of Technology, EPFL CH-1015 Lausanne, Switzerland
Corresponding author: Pascal.Buenzli@epfl.ch
Accepted: 26 July 2005
The standard expression of the high-temperature Casimir force between perfect conductors is obtained by imposing macroscopic boundary conditions on the electromagnetic field at metallic interfaces. This force is twice larger than that computed in microscopic classical models allowing for charge fluctuations inside the conductors. We present a direct computation of the force between two quantum plasma slabs in the framework of non-relativistic quantum electrodynamics including quantum and thermal fluctuations of both matter and field. In the semi-classical regime, the asymptotic force at large slab separation is identical to that found in the above purely classical models, which is therefore the right result. We conclude that when calculating the Casimir force at non-zero temperature, fluctuations inside the conductors cannot be ignored. Aspects of this subject are treated in a companion letter by Jancovici B. and Šamaj L., Casimir force between two ideal-conductor walls revisited (Europhys. Lett., 72 (2005) 35).
PACS: 05.30.-d – Quantum statistical mechanics / 12.20.-m – Quantum electrodynamics / 11.10.Wx – Finite-temperature field theory
© EDP Sciences, 2005
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.