Near-optimal protocols in complex nonequilibrium transformations
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Gingrich-2016-Near-optimal protoco.pdf
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Author(s) • • •
Gingrich, Todd R.
Rotskoff, Grant M.
Crooks, Gavin E.
Geissler, Phillip L.
Date Issued
August 2016
Journal
Proceedings of the National Academy of Sciences
Publisher
National Academy of Sciences (U.S.)
Citation
Gingrich, Todd R.; Rotskoff, Grant M.; Crooks, Gavin E. and Geissler, Phillip L. “Near-Optimal Protocols in Complex Nonequilibrium Transformations.” Proceedings of the National Academy of Sciences 113, no. 37 (August 2016): 10263–10268. © National Academy of Sciences
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Final published version
Abstract
The development of sophisticated experimental means to control nanoscale systems has motivated efforts to design driving protocols that minimize the energy dissipated to the environment. Computational models are a crucial tool in this practical challenge. We describe a general method for sampling an ensemble of finite-time, nonequilibrium protocols biased toward a low average dissipation. We show that this scheme can be carried out very efficiently in several limiting cases. As an application, we sample the ensemble of low-dissipation protocols that invert the magnetization of a 2D Ising model and explore how the diversity of the protocols varies in response to constraints on the average dissipation. In this example, we find that there is a large set of protocols with average dissipation close to the optimal value, which we argue is a general phenomenon.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1073/pnas.1606273113