On the reaction-diffusion type modelling of the self-propelled object motion.

ABSTRACT: In this study, we propose a mathematical model of self-propelled objects based on the Allen-Cahn type phase-field equation. We combine it with the equation for the concentration of surfactant used in previous studies to construct a model that can handle self-propelled object motion with shape change. A distinctive feature of our mathematical model is that it can represent both deformable self-propelled objects, such as droplets, and solid objects, such as camphor disks, by controlling a single parameter. Furthermore, we demonstrate that, by taking the singular limit, this phase-field based model can be reduced to a free boundary model, which is equivalent to the [Formula: see text]-gradient flow model of self-propelled objects derived by the variational principle from the interfacial energ

SUBMITTER: Nagayama M 

PROVIDER: S-EPMC10400585 | biostudies-literature | 2023 Aug

REPOSITORIES: biostudies-literature