Large deviations in Taylor dispersion

TL;DR

This paper connects Taylor dispersion with empirical distribution theory and uses large deviations to provide a more accurate description of its long-time behavior.

Contribution

It introduces a novel approach linking Taylor dispersion to empirical distributions and applies large deviations theory for improved long-time analysis.

Findings

Derived a new large deviations-based description of Taylor dispersion

Established a theoretical link between dispersion phenomena and empirical distribution theory

Provided more precise long-time regime characterization

Abstract

We establish a link between the phenomenon of Taylor dispersion and the theory of empirical distributions. Using this connection, we derive, upon applying the theory of large deviations, an alternative and much more precise description of the long-time regime for Taylor dispersion.