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...

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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
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ISSN1539-3755
DOI10.1103/PhysRevE.75.051127

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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 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.
AbstractList 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.
Author Høye, Johan S
Brevik, Iver
Aarseth, Jan B
Ellingsen, Simen A
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  givenname: Iver
  surname: Brevik
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  surname: Ellingsen
  fullname: Ellingsen, Simen A
– sequence: 4
  givenname: Jan B
  surname: Aarseth
  fullname: Aarseth, Jan B
BackLink https://www.ncbi.nlm.nih.gov/pubmed/17677042$$D View this record in MEDLINE/PubMed
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PublicationTitle Physical review. E, Statistical, nonlinear, and soft matter physics
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References 18352074 - Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Feb;77(2 Pt 1):023101; discussion 023102
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