Phase Field Model for Dynamics of Sweeping Interface

TL;DR

This paper introduces a phase field model to simulate the dynamics of sweeping interfaces, inspired by drying pattern experiments, and presents numerical simulation results in one and two dimensions.

Contribution

It develops a novel phase field model for sweeping interfaces and demonstrates its applicability through numerical simulations.

Findings

Model captures key features of drying patterns

Numerical results show dimensional effects on interface dynamics

Relevance to experimental observations discussed

Abstract

Motivated by the drying pattern experiment by Yamazaki and Mizuguchi[J. Phys. Soc. Jpn. {\bf 69} (2000) 2387], we propose the dynamics of sweeping interface, in which material distributed over a region is swept by a moving interface. A model based on a phase field is constructed and results of numerical simulations are presented for one and two dimensions. Relevance of the present model to the drying experiment is discussed.