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Near-optimal protocols in complex nonequilibrium transformations

Authors :
Gingrich, Todd R.
Rotskoff, Grant M.
Crooks, Gavin E.
Geissler, Phillip L.
Source :
Proc. Natl. Acad. Sci. USA 113(37), 10263 (2016)
Publication Year :
2016

Abstract

The development of sophisticated experimental means to control nanoscale systems has motivated efforts to design driving protocols which 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 towards 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.<br />Comment: 6 pages and 3 figures plus 4 pages and 5 figures of supplemental material

Details

Database :
arXiv
Journal :
Proc. Natl. Acad. Sci. USA 113(37), 10263 (2016)
Publication Type :
Report
Accession number :
edsarx.1602.01459
Document Type :
Working Paper
Full Text :
https://doi.org/10.1073/pnas.1606273113