Analytical and numerical verification of the Nernst theorem for metals

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 p...

Full description

Saved in:
Bibliographic Details
Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 75; no. 5 Pt 1; p. 051127
Main Authors Høye, Johan S, Brevik, Iver, Ellingsen, Simen A, Aarseth, Jan B
Format Journal Article
LanguageEnglish
Published United States 01.05.2007
Online AccessGet more information
ISSN1539-3755
DOI10.1103/PhysRevE.75.051127

Cover

More Information
Summary: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 proportional to T2 and the next-to-leading term proportional to T(5/2). These terms give rise to zero Casimir entropy as T-->0 and are thus in accordance with Nernst's theorem.
ISSN:1539-3755
DOI:10.1103/PhysRevE.75.051127