Long-Range Interactions in Quasi-One Dimensional Cylindrical Structures
K. Tatur, L.M. Woods
University of South Florida, US
Keywords: interactions, Casimir, nanostructures, mathematical
Abstract:Casimir forces originating from vacuum fluctuations of the electromagnetic fields 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. In particular, various systems, such as multiwall carbon nanotubes consisting of cylindrically wrapped graphene sheets or multiwall boron nitride nanotubes consisting of boron nitride layers are stable due to such long-range forces. Devices, such as micro- and nanoelectromechanical systems (MEMS and NEMS) are affected due to Casimir forces. Furthermore, processes, such as friction, adhesion, and wear, are directly related to the Casimir forces and they can be dominant at small scales. Thus qualitative and quantitative knowledge is necessary in order to be able to control or avoid unwanted effects. In this work, we present mathematical methods to calculate the Casimir interaction in various infinitely long cylindrical nanostructures. We consider a cylindrical layer with a finite thickness, concentric cylindrical shells, and parallel infinitely long cylinders, characterized with specific dielectric and magnetic properties.