• Letter

Optimal control with a strong harmonic trap

Steven Blaber and David A. Sivak
Phys. Rev. E 106, L022103 – Published 9 August 2022

Abstract

Quadratic trapping potentials are widely used to experimentally probe biopolymers and molecular machines and drive transitions in steered molecular-dynamics simulations. Approximating energy landscapes as locally quadratic, we design multidimensional trapping protocols that minimize dissipation. The designed protocols are easily solvable and applicable to a wide range of systems. The approximation does not rely on either fast or slow limits and is valid for any duration provided the trapping potential is sufficiently strong. We demonstrate the utility of the designed protocols with a simple model of a periodically driven rotary motor. Our results elucidate principles of effective single-molecule manipulation and efficient nonequilibrium free-energy estimation.

  • Figure
  • Received 26 May 2022
  • Accepted 21 July 2022

DOI:https://doi.org/10.1103/PhysRevE.106.L022103

©2022 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Steven Blaber* and David A. Sivak

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

  • *sblaber@sfu.ca
  • dsivak@sfu.ca

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 106, Iss. 2 — August 2022

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×