Performance of near-optimal protocols in weak processes
Abstract
A natural criticism of the optimal protocol of the irreversible work found for weakly driven processes is its experimental difficulty in being implementable due to its singular part. In this work, I explore the possibility of taking its continuous linear part as an acceptable near-optimal protocol. First, I prove that such a solution is the optimal protocol for non-singular admissible functions. I corroborate this result by observing successful comparisons with test protocols on six reasonable examples. Also, extending such analysis, I conclude that the error committed on this near-optimal protocol is considerable compared to the first-order singular approximation solution, except for sudden and slowly-varying processes. A conjecture is made about a general structure of a near-optimal protocol for systems under arbitrarily strong perturbations.
Keywords
Cite
@article{arxiv.2306.02483,
title = {Performance of near-optimal protocols in weak processes},
author = {Pierre Nazé},
journal= {arXiv preprint arXiv:2306.02483},
year = {2024}
}
Comments
9 pages, 16 figures. arXiv admin note: text overlap with arXiv:2305.08597