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Nonmonotonic effects of parallel sidewalls on Casimir forces between cylinders

2007/11/13 by Sahand Jamal Rahi, Alejandro W. Rodríguez, Alejandro W. Rodriguez +5 · 2 citations
Physics and Astronomy · #Body force #Casimir effect #Casimir pressure #Classical mechanics #Cylinder #Experimental and Theoretical Physics Studies #Geometry #Mechanical and Optical Resonators #Mechanics #Physics #Quantum Electrodynamics and Casimir Effect #Simple (philosophy) #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreva.77.030101

published as Phys. Rev. A 77, 030101(R) (2008) · 5 pages, 4 figures

arxiv created 2007/11/13 · openalex publication_date 2008/03/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We analyze the Casimir force between two parallel infinite metal cylinders with nearby metal plates using two methods. Surprisingly, the attractive force between cylinders depends nonmonotonically on the separation from the plate(s), and the cylinder-plate force depends nonmonotonically on the separation of the cylinders. These multibody phenomenona do not follow from simple two-body force descriptions. We can explain the nonmonotonicity with the screening (enhancement) of the interactions by the fluctuating charges (currents) on the two cylinders and their images on the nearby plate(s).

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