An efficient algorithm to estimate the potential barrier height from noise-induced escape time data
Abstract
It is a common phenomenon in nature and technology that a system under perturbations exits a regime of its usual dynamics. Often it is possible to define a potential function whereby a potential well can be associated with a usual or persistent dynamics, and a potential barrier needs to be overcome to escape the regime associated with the usual dynamics. We develop an algorithm to determine the potential barrier height experimentally, provided that we have control over the noise strength. We are concerned with the situation when the experiment requires large resources of time or computational power, and wish to find a protocol that provides the best estimate in a given amount of time. The optimal noise strength to use is found to be very simply related to the potential barrier height, and we propose an iterative method for the estimation.
Cite
@article{arxiv.1808.06903,
title = {An efficient algorithm to estimate the potential barrier height from noise-induced escape time data},
author = {Tamás Bódai},
journal= {arXiv preprint arXiv:1808.06903},
year = {2018}
}