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Optimal control of rotary motors
Lucero, J. N. E ; Sharif University of Technology | 2019
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- Type of Document: Article
- DOI: 10.1103/PhysRevE.99.012119
- Publisher: American Physical Society , 2019
- 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 nonperiodic systems: Sufficiently fast protocols can effectively lap the system. While this leads to a trade-off between accuracy of driving and energetic cost, we find that our designed protocols outperform naive protocols. © 2019 American Physical Society
- Keywords:
- Economic and social effects ; Energy barriers ; Friction ; Range finding ; Rotating machinery ; Stochastic systems ; Energetic efficiency ; Friction coefficients ; Mechanochemicals ; Optimal controls ; Simple modeling ; Single molecule experiments ; Thermal fluctuations ; Thermodynamic efficiency ; Stochastic models
- Source: Physical Review E ; Volume 99, Issue 1 , 2019 ; 24700045 (ISSN)
- URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.99.012119