English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Patch potentials arising from the polycrystalline structure of materialsamples may contribute significantly to measured signals in Casimir forceexperiments. Most of these experiments are performed in the sphere-planegeometry, yet, up to now all analysis of patch effects has been taken intoaccount using the proximity force approximation which, in essence, treats thesphere as a plane. In this paper we present the exact solution for theelectrostatic patch interaction energy in the sphere- plane geometry, andderive exact analytical formulas for the electrostatic patch force andminimizing potential. We perform numerical simulations to analyze the distancedependence of the minimizing potential as a function of patch size, andquantify the sphere-plane patch force for a particular patch layout. Once thepatch potentials on both surfaces are measured by dedicated experiments ourformulas can be used to exactly quantify the sphere-plane patch force in theparticular experimental situation.

Electrostatic patch effects in Casimir force experiments performed in the sphere-plane geometry