Casimir interaction between a plane and a sphere: correction to the proximity-force approximation at intermediate temperatures
- We consider the Casimir interaction energy between a plane and a sphere of radius R at finite temperature T as a function of the distance of closest approach L. Typical experimental conditions are such that the thermal wavelength λT=ℏc/kBT satisfies the condition L≪λT≪R. We derive the leading correction to the proximity-force approximation valid for such intermediate temperatures by developing the scattering formula in the plane-wave basis. Our analytical result captures the joint effect of the spherical geometry and temperature and is written as a sum of temperature-dependent logarithmic terms. Surprisingly, two of the logarithmic terms arise from the Matsubara zero-frequency contribution.
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| Author: | Vinicius HenningORCiD, Benjamin SprengORCiD, Paulo A. Maia NetoORCiD, Gert-Ludwig IngoldORCiDGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-871071 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/87107 |
| Parent Title (English): | Universe |
| Publisher: | MDPI |
| Type: | Article |
| Language: | English |
| Date of Publication (online): | 2021/05/28 |
| Year of first Publication: | 2021 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2021/05/29 |
| Volume: | 7 |
| Issue: | 5 |
| First Page: | 129 |
| DOI: | https://doi.org/10.3390/universe7050129 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik I | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 50 Naturwissenschaften / 500 Naturwissenschaften und Mathematik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung |
