Curvature-Driven Forces Based on Natural Exponential Pair Potential at Micro/Nanoscales

The natural exponential potential (Ce-R/0) widely exists at micro/nanoscales; this paper studies the interaction potential between a curved-surface body and an outside particle base on the natural exponential potential. Mathematical derivation proves that the interaction potential can be expressed as a function of curvatures. Then, idealized numerical experiments are designed to verify the accuracy of the curvature-based potential. The driving forces exerted on the particle are discussed and confirmed to be a function of curvatures and the gradient of curvatures, which may explain some abnormal movements at micro/nanoscales.