Dynamic Labyrinthine Pattern in an Active Liquid Film

TL;DR

This paper reports the formation of a dynamic labyrinthine pattern in an active alcohol film, characterized by time-dependent changes and modeled through diffusion-controlled geometry, revealing autoregressive behavior unlike stationary patterns.

Contribution

It introduces a new dynamic labyrinthine pattern in an active liquid film and provides a diffusion-controlled geometric model to reproduce its behavior.

Findings

Pattern exhibits autoregressive dynamics.

Strong geometric correlation between neighboring patterns.

Behavior differs from stationary labyrinthine patterns.

Abstract

We report the generation of a dynamic labyrinthine pattern in an active alcohol film. A dynamic labyrinthine pattern is formed along the contact line of air/pentanol/aqueous three phases. The contact line shows a clear time-dependent change with regard to both perimeter and area of a domain. An autocorrelation analysis of time-development of the dynamics of the perimeter and area revealed a strong geometric correlation between neighboring patterns. The pattern showed autoregressive behavior. The behavior of the dynamic pattern is strikingly different from those of stationary labyrinthine patterns. The essential aspects of the observed dynamic pattern are reproduced by a diffusion-controlled geometric model.