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Open Quantum Systems Decoherence Quantum Thermodynamics

Drude model and Lifshitz formula

arXiv
Authors: M. Bordag

Year

2011

Paper ID

29103

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

Since nearly 10 years, it is known that inserting the permittivity of the Drude model into the Lifshitz formula for free energy causes a violation of the third law of thermodynamics. In this paper we show that the standard Matsubara formulation for free energy contains a contribution that is non-perturbative in the relaxation parameter. We argue that the correct formula must have a perturbative expansion and conclude that the standard Matsubara formulation with the permittivity of the Drude model inserted is not correct. We trace the non-perturbative contribution in the complex frequency plane, where it shows up as a self-intersection or a bifurcation of the integration path.

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  • Since nearly 10 years, it is known that inserting the permittivity of the Drude model into the Lifshitz formula for free energy causes a violation of the third law of...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1110.4819 [2] arXiv https://arxiv.org/abs/1110.4819 [3] Publisher https://arxiv.org/abs/1110.4819

Local Citation Graph (Related-Paper Links)

Current Paper #29103 #69912 Spectral and thermodynamic prop... #69909 Fundamental Irreversibility fro...

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