Surface evolution caused by curvature driven forces based on natural exponential pair potential

Based on the natural exponential pair potential U(R) = Ce -R/.0, the interaction potential between curved surface body and on surface particle is studied/Firstly, the interaction potential is written as a function of curvatures through the differential geometry/Secondly, idealized numerical experiments are designed to test the accuracy of curvature-based potential/Then, the driving forces induced by curvatures are analyzed, which confirms that micro/ nano-curved surface bodies can induce driving forces; curvatures and the gradient of curvatures are the essential elements forming the driving forces/Finally, by combining with the curvature-based potential and driving forces, the movements on surface particles and the evolution of surface morphology of curved surface bodies are predicted.