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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Metadaten
Author:Vinicius HenningORCiD, Benjamin SprengORCiD, Paulo A. Maia NetoORCiD, Gert-Ludwig IngoldORCiDGND
URN:urn:nbn:de:bvb:384-opus4-871071
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/87107
Parent Title (English):Universe
Publisher:MDPI
Type:Article
Language:English
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 (mit Print on Demand)