金属能斯特定理的解析和数值验证
Analytical and Numerical Verification of the Nernst Theorem for Metals
摘要:
鉴于目前的讨论中的主题,努力非常准确地显示分析和数值计算如何德鲁德色散模型给出一致的结果,在低温下的Casimir自由能。具体来说,对于T=0附近的自由能,我们发现首项与T ^2成正比,次首项与T^{5/2}成正比。当T接近零时,这些项产生零卡西米尔熵,因此符合能斯特定理。
英文摘要:
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.
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