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Near-optimal protocols in complex nonequilibrium transformations.

Todd R Gingrich1, Grant M Rotskoff2, Gavin E Crooks3

  • 1Physics of Living Systems Group, Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139; Department of Chemistry, University of California, Berkeley, CA 94720; toddging@mit.edu.

Proceedings of the National Academy of Sciences of the United States of America
|August 31, 2016
PubMed
Summary
This summary is machine-generated.

Researchers developed a computational method to design energy-efficient protocols for controlling nanoscale systems. This approach efficiently samples low-dissipation protocols, demonstrated by inverting magnetization in a 2D Ising model.

Keywords:
Ising modelMetropolis algorithmentropic sampling methodsirreversible thermodynamicsnonequilibrium

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Area of Science:

  • Statistical mechanics
  • Computational physics
  • Nanotechnology

Background:

  • Advanced experimental control of nanoscale systems necessitates minimizing energy dissipation.
  • Computational models are vital for designing efficient driving protocols.

Purpose of the Study:

  • To develop a general computational method for sampling nonequilibrium protocols with minimized average energy dissipation.
  • To apply this method to the 2D Ising model and analyze protocol diversity under dissipation constraints.

Main Methods:

  • A general method for sampling finite-time, nonequilibrium protocols biased towards low average dissipation.
  • Efficient sampling in several limiting cases.
  • Application to the 2D Ising model for magnetization reversal.

Main Results:

  • The proposed scheme is computationally efficient.
  • A large set of protocols with near-optimal average dissipation was found for the 2D Ising model.
  • Protocol diversity was analyzed in response to average dissipation constraints.

Conclusions:

  • The developed method provides an efficient way to find low-dissipation protocols for nanoscale control.
  • A broad range of protocols achieving near-optimal energy efficiency is a general phenomenon.