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arXiv · 1807.10872

Optimal Control of Rotary Motors

Joseph N. E. Lucero·Aliakbar Mehdizadeh·David A. Sivak
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Abstract

Single-molecule experiments have found near-perfect thermodynamic efficiency in the rotary motor F1-ATP synthase. To help elucidate the principles underlying nonequilibrium energetic efficiency in such stochastic machines, we investigate driving protocols that minimize dissipation near equilibrium in a simple model rotary mechanochemical motor, as determined by a generalized friction coefficient. Our simple model has a periodic friction coefficient that peaks near system energy barriers. This implies a minimum-dissipation protocol that proceeds rapidly when the system is overwhelmingly in a single macrostate, but slows significantly near energy barriers, thereby harnessing thermal fluctuations to kick the system over energy barriers with minimal work input. This model also manifests a phenomenon not seen in otherwise similar non-periodic systems: sufficiently fast protocols can effectively lap the system. While this leads to a non-trivial tradeoff between accuracy of driving and energetic cost, we find that our designed protocols out-perform naive protocols.

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Joseph N. E. Lucero, Aliakbar Mehdizadeh, David A. Sivak. 2019-09-04. Optimal Control of Rotary Motors. https://doi.org/10.1103/physreve.99.012119

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