0703174v4

related topics
{force, casimir, field}
{temperature, thermal, energy}
{equation, function, exp}
{information, entropy, channel}
{energy, gaussian, time}

Analytical and Numerical Verification of the Nernst Theorem for Metals

Johan S. Høye, Iver Brevik, Simen A. Ellingsen, Jan B. Aarseth

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.

oai_identifier:
oai:arXiv.org:quant-ph/0703174
categories:
quant-ph hep-th
comments:
19 pages latex, 3 figures. v4: Figures updated. This is the final version, accepted for publication in Physical Review E
doi:
PHRVA-E 10.1103/PhysRevE.77.023102
arxiv_id:
quant-ph/0703174
journal_ref:
Phys.Rev.E75:051127,2007; Phys.Rev.E77:023102,2008
created:
2007-03-19
updated:
2007-05-12

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