Casimir Physics: Geometry, Shape and Material

TL;DR

This paper presents a comprehensive method combining statistical physics and scattering theory to compute fluctuation-induced forces like Casimir and van der Waals, enabling analysis of complex geometries and materials.

Contribution

It introduces a versatile approach for calculating Casimir and related forces, advancing understanding of geometry and material effects in fluctuation-induced interactions.

Findings

The method effectively analyzes previously unexplored phenomena.

Geometry and material properties significantly influence fluctuation forces.

The approach facilitates control of Casimir interactions in nanotechnology.

Abstract

The properties of fluctuation induced interactions like van der Waals and Casimir-Lifshitz forces are of interest in a plethora of fields ranging from biophysics to nanotechnology. Here we describe a general approach to compute these interactions. It is based on a combination of methods from statistical physics and scattering theory. We showcase how it is exquisitely suited to analyze a variety of previously unexplored phenomena. Examples are given to show how the interplay of geometry and material properties helps to understand and control these forces.