Optimal control in nonequilibrium systems: Dynamic Riemannian geometry of the Ising model

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Grant M Rotskoff, Gavin E Crooks

Abstract

A general understanding of optimal control in nonequilibrium systems would illuminate the operational principles of biological and artificial nanoscale machines. Recent work has shown that a system driven out of equilibrium by a linear response protocol is endowed with a Riemannian metric related to generalized susceptibilities, and that geodesics on this manifold are the nonequilibrium control protocols with the lowest achievable dissipation. While this elegant mathematical framework has inspired numerous studies of exactly solvable systems, no description of the thermodynamic geometry yet exists when the metric cannot be derived analytically. Herein, we numerically construct the dynamic metric of the two-dimensional Ising model in order to study optimal protocols for reversing the net magnetization.

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Citations

Aug 31, 2016·Proceedings of the National Academy of Sciences of the United States of America·Todd R GingrichPhillip L Geissler
Oct 24, 2019·Interface Focus·Stuart J Bartlett, Patrick Beckett
Feb 15, 2020·Physical Review Letters·Kay Brandner, Keiji Saito
Dec 15, 2016·Physical Review. E·David A Sivak, Gavin E Crooks
Feb 20, 2019·Physical Review. E·Joseph N E LuceroDavid A Sivak
Apr 4, 2020·Physical Review Letters·Paolo Abiuso, Martí Perarnau-Llobet
Dec 9, 2020·Entropy·Paolo AbiusoMatteo Scandi
Aug 15, 2019·Chemical Reviews·Aidan I Brown, David A Sivak
Apr 14, 2018·The Journal of Physical Chemistry. B·Gregory A RossJohn D Chodera

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