Analytical and Numerical Verification of the Nernst Theorem for Metals
Quantum Physics
2015-06-30 v4 High Energy Physics - Theory
Abstract
In view of the current discussion on the subject, an effort is made to show very accurately both analytically and numerically how the Drude dispersion model gives consistent results for the Casimir free energy at low temperatures. Specifically, for the free energy near T=0 we find the leading term to be proportional to T^2 and the next-to-leading term proportional to T^{5/2}. These terms give rise to zero Casimir entropy as T approaches zero, and is thus in accordance with Nernst's theorem.
Cite
@article{arxiv.quant-ph/0703174,
title = {Analytical and Numerical Verification of the Nernst Theorem for Metals},
author = {Johan S. Høye and Iver Brevik and Simen A. Ellingsen and Jan B. Aarseth},
journal= {arXiv preprint arXiv:quant-ph/0703174},
year = {2015}
}
Comments
19 pages latex, 3 figures. v4: Figures updated. This is the final version, accepted for publication in Physical Review E