Long-Range Interactions in Quasi-One Dimensional Cylindrical Structures

摘要

Casimir forces originating from vacuum fluctuations of the electromagnetic fields [1] are of increasing importance in many scientific and technological areas. The manifestations of these long-range forces at the nanoscale have led to the need of better understanding of their contribution in relation to the stability of different physical systems as well as the operation of various technological components and devices [2]. In this work, we present mathematical methods to calculate the Casimir interaction in various infinitely long cylindrical nanostructures. We will consider a dielectric cylindrical layer with a finite thickness characterized with specific dielectric and magnetic properties and another system of perfectly conducting concentric cylindrical shells. We present analytical expressions and numerical calculations for various cases in terms of the radial dimension, curvature, and material composition of the studied systems. The results from this work can be used to understand long-range interactions in structures such, as carbon nanotubes and nanowires [3,4].