Dynamics of noncontact rack and pinion device: Periodic back and forth motion of the rack

Ali Moradian

Institute for Advanced Studies in Basic Sciences, Zanjan, Iran

We study a nano-scale system composed of one corrugated cylinder (pinion) and one corrugated plate (rack). The pinion and rack have no mechanical contact, but are coupled via the lateral Casimir force. We consider the case where the rack position versus time is a periodic triangular signal. We find that the device can rectify the periodic but nonsinusoidal motion of the rack. Using the typical values of parameters, we find that the pinion rotates with an average angular velocity Ω = 1 ~ 100 Hz. Experimental observation of the pinion rotation will show that the quantum vacuum can intermesh the noncontact parts of nanomachines.

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