Engineered swift equilibration for arbitrary geometries
Abstract
Engineered swift equilibration (ESE) is a class of driving protocols that enforce an equilibrium distribution with respect to external control parameters at the beginning and end of rapid state transformations of open, classical non-equilibrium systems. ESE protocols have previously been derived and experimentally realized for Brownian particles in simple, one-dimensional, time-varying trapping potentials; one recent study considered ESE in two-dimensional Euclidean configuration space. Here we extend the ESE framework to generic, overdamped Brownian systems in arbitrary curved configuration space and illustrate our results with specific examples not amenable to previous techniques. Our approach may be used to impose the necessary dynamics to control the full temporal configurational distribution in a wide variety of experimentally realizable settings.
Keywords
Cite
@article{arxiv.2012.08672,
title = {Engineered swift equilibration for arbitrary geometries},
author = {Adam G. Frim and Adrianne Zhong and Shi-Fan Chen and Dibyendu Mandal and Michael R. DeWeese},
journal= {arXiv preprint arXiv:2012.08672},
year = {2022}
}
Comments
v4: 6+2 pages, 1 figure; correction of typo in funding information