Persistence in Practice

TL;DR

This paper introduces a method to accurately compute persistence probabilities of fluctuating interfaces using correlation functions, validated by experimental data on colloidal interfaces.

Contribution

It presents a novel scheme for calculating persistence probabilities from height-height correlation functions, applicable to fluctuating interfaces.

Findings

Calculated persistence probabilities match experimental measurements very well.

The method is effective across the entire experimental range.

Provides a practical approach for analyzing interface fluctuations.

Abstract

We present a scheme to accurately calculate the persistence probabilities on sequences of $n$ heights above a level $h$ from the measured $n+2$ points of the height-height correlation function of a fluctuating interface. The calculated persistence probabilities compare very well with the measured persistence probabilities of a fluctuating phase-separated colloidal interface for the whole experimental range.