Liesegang patterns : Studies on the width law

TL;DR

This paper investigates the width law in Liesegang patterns through experimental data and theoretical modeling, providing evidence that the relation between band positions and widths follows a near-linear power law with lphalose to 1.

Contribution

It offers experimental validation and theoretical support for the width law in Liesegang patterns, emphasizing the near-linear relation between band positions and widths.

Findings

Experimental data supports lphalose to 1.

Theoretical model predicts lphapproximately 1.

Width law holds under generic reaction-diffusion conditions.

Abstract

The so-called "width law" for Liesegang patterns, which states that the positions x_n and widths w_n of bands verify the relation x_n \sim w_n^{\alpha} for some \alpha>0, is investigated both experimentally and theoretically. We provide experimental data exhibiting good evidence for values of \alpha close to 1. The value \alpha=1 is supported by theoretical arguments based on a generic model of reaction-diffusion.