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Title: Near-optimal protocols in complex nonequilibrium transformations

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. In this paper, we describe a general method for sampling an ensemble of finite-time, nonequilibrium protocols biased toward a low average dissipation. In addition, 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.

Authors:
ORCiD logo [1];  [2];  [3];  [4]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Physics of Living Systems Group, Department of Physics; Univ. of California, Berkeley, CA (United States). Department of Chemistry
  2. Univ. of California, Berkeley, CA (United States). Biophysics Graduate Group
  3. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Physical Biosciences Division; Kavli Energy NanoSciences Institute, Berkeley, CA (United States)
  4. Univ. of California, Berkeley, CA (United States). Department of Chemistry and Biophysics Graduate Group; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Physical Biosciences Division and Chemical Sciences Division
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); US Army Research Office (ARO); National Science Foundation (NSF); Gordon and Betty Moore Foundation
OSTI Identifier:
1312046
Alternate Identifier(s):
OSTI ID: 1377488
Grant/Contract Number:  
AC02-05CH11231; W911NF-13-1-0390
Resource Type:
Published Article
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Volume: 113; Journal Issue: 37; Journal ID: ISSN 0027-8424
Publisher:
National Academy of Sciences, Washington, DC (United States)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING; nonequilibrium; irreversible thermodynamics; entropic sampling methods; Metropolis algorithm; Ising model

Citation Formats

Gingrich, Todd R., Rotskoff, Grant M., Crooks, Gavin E., and Geissler, Phillip L. Near-optimal protocols in complex nonequilibrium transformations. United States: N. p., 2016. Web. doi:10.1073/pnas.1606273113.
Gingrich, Todd R., Rotskoff, Grant M., Crooks, Gavin E., & Geissler, Phillip L. Near-optimal protocols in complex nonequilibrium transformations. United States. doi:10.1073/pnas.1606273113.
Gingrich, Todd R., Rotskoff, Grant M., Crooks, Gavin E., and Geissler, Phillip L. Mon . "Near-optimal protocols in complex nonequilibrium transformations". United States. doi:10.1073/pnas.1606273113.
@article{osti_1312046,
title = {Near-optimal protocols in complex nonequilibrium transformations},
author = {Gingrich, Todd R. and Rotskoff, Grant M. and Crooks, Gavin E. and Geissler, Phillip L.},
abstractNote = {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. In this paper, we describe a general method for sampling an ensemble of finite-time, nonequilibrium protocols biased toward a low average dissipation. In addition, 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.},
doi = {10.1073/pnas.1606273113},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 37,
volume = 113,
place = {United States},
year = {2016},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1073/pnas.1606273113

Citation Metrics:
Cited by: 3 works
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