Rectification of a Casimir Nanomachine with a Triangular Wave Signal

In this paper, we investigate the Casimir nano system composed of two quadrisected dielectric disks separated by a thin gap. Initially the two disks have the same surface dielectric distributions. We use scatting approach in the weak coupling limit and show that the top plate experiences a torque AWT IMAGE if it rotates about its axes by an angleAWT IMAGE. Consequently, we will be able to calculateAWT IMAGE.
Quite interesting, such a nanomachine may be used to examine the dielectric dependence of the Casimir torque. Our small system can be used to measure small torques. We assume that the top disk is mounted on an axle and part of the rotational friction in the system comes from the axial friction and an external load is mounted on it. For such a system with specified parameters, we can estimate inertia and axial friction. Therefor we can neglect the inertia term and use the over damped regime to describe the dynamics of our system. We show that our small system can rectify a periodic square-wave angular velocity and we obtain the average angular velocity of the top plate.