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Near-optimal protocols in complex nonequilibrium transformations

delete2016-08-29
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T
Todd R. Gingrich *
G
Grant M. Rotskoff
G
Gavin E. Crooks
P
Phillip L. Geissler
DOI:10.1073/pnas.1606273113delete
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Abstract

Abstract

En 中文
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.
Keywords:
nonequilibrium
irreversible thermodynamics
entropic sampling methods
Metropolis algorithm
Ising model
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Journal

P
Proceedings of the National Academy of Sciences of the United States of America
IF:
9.1
Papers:
10.8W
Citations:
73.5W

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University of California Berkeley
Scholars:
3.5W
Papers: 2.8W
Citations: 11.3W
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University of California System
Scholars:
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Papers: 33.7W
Citations: 6.6K