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Optimal Control of Rotary Motors by Lucero, Joseph N. E.; Mehdizadeh, Aliakbar; Sivak, David A. is a scholarly article available to read on EtoBox.

What is Optimal Control of Rotary Motors about?

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.

Author

Lucero, Joseph N. E.; Mehdizadeh, Aliakbar; Sivak, David A.

Published

2018

Language

EN