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Journal Article

Rectification of the lateral Casimir force in a vibrating noncontact rack and pinion


Golestanian,  R.       
Department of Living Matter Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Ashourvan, A., Miri, M., & Golestanian, R. (2007). Rectification of the lateral Casimir force in a vibrating noncontact rack and pinion. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 75(4): 040103(R). doi:10.1103/PhysRevE.75.040103.

Cite as: https://hdl.handle.net/21.11116/0000-0001-A6F3-1
The nonlinear dynamics of a cylindrical pinion that is kept at a distance from a vibrating rack is studied, and it is shown that the lateral Casimir force between the two corrugated surfaces can be rectified. The effects of friction and external load are taken into account, and it is shown that the pinion can do work against loads of up to a critical value, which is set by the amplitude of the lateral Casimir force. We present a phase diagram for the rectified motion that could help its experimental investigations, as the system exhibits a chaotic behavior in a large part of the parameter space. © 2007 The American Physical Society.