Curvature-based interaction potential between micro/nano curved surface body and an outside particle

The interaction between a general curved surface body and an outside particle is studied inthis paper. Based on the negative exponential pair potential 1/R-n between two particles, the interaction potential between the curved surface body and an outside particle can be proved to be of curvature-based form, i.e., it can be written as the function of curvatures. As well, idealized numerical experiments are designed to test the accuracy of the curvature-based potential. Through the curvature-based potential, normal and tangential forces exerted on the particle are studied to confirm the previous propositions: Highly curved surface body may induce driving forces, and curvatures and the gradient of curvatures are the essential factors forming the driving forces.