Curvature-based interaction potential between an isolated particle and micro/nano space curve

Abstract Based on the negative exponent pair potential, the interaction potential between micro/nano space curve and an isolated particle outside the curve (called off-curve-particle) is studied. By the parametric variable series expansion method, we verified that the space-curve/particle interaction potential is mainly determined by the curvature and torsional curvature of the curve. Therefore, we infer that the isolated particle will be subjected to the abnormal driving force induced by the space curve, and the essential factors constituting the driving force are the curvature, torsion and their gradients.