Interaction Potential between Parabolic Rotator and an Outside Particle

Abstract EN

At micro/nanoscale, the interaction potential between parabolic rotator and a particle located outside the rotator is studied on the basis of the negative exponential pair potential 1 / R n between particles.

Similar to two-dimensional curved surfaces, we confirm that the potential of the three-dimensional parabolic rotator and outside particle can also be expressed as a unified form of curvatures; that is, it can be written as the function of curvatures.

Furthermore, we verify that the driving forces acting on the particle may be induced by the highly curved micro/nano-parabolic rotator.

Curvatures and the gradient of curvatures are the essential elements forming the driving forces.

Through the idealized numerical experiments, the accuracy of the curvature-based potential is preliminarily proved.