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Steps minimize dissipation in rapidly driven stochastic systems

Steven Blaber1,*, Miranda D. Louwerse2, and David A. Sivak1,†

  • 1Department of Physics, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6
  • 2Department of Chemistry, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6

  • *sblaber@sfu.ca
  • †dsivak@sfu.ca

Phys. Rev. E 104, L022101 – Published 5 August, 2021

DOI: https://doi.org/10.1103/PhysRevE.104.L022101

Abstract

Micro- and nanoscale systems driven by rapid changes in control parameters (control protocols) dissipate significant energy. In the fast-protocol limit, we find that protocols that minimize dissipation at fixed duration are universally given by a two-step process, jumping to and from a point that balances jump size with fast relaxation. Jump protocols could be exploited by molecular machines or thermodynamic computing to improve energetic efficiency, and implemented in nonequilibrium free-energy estimation to improve accuracy.

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