Dynamics of a deformable self-propelled domain

TL;DR

This paper explores how a deformable self-propelled domain moves and deforms dynamically using two different models, revealing diverse behaviors and comparing their underlying mechanisms.

Contribution

It introduces two distinct models for self-propelled deformable domains and analyzes their dynamical behaviors and similarities.

Findings

Numerical simulations reveal a rich variety of dynamics.

Some behaviors are common across both models.

The study discusses the origins of similarities and differences.

Abstract

We investigate the dynamical coupling between the motion and the deformation of a single self-propelled domain based on two different model systems in two dimensions. One is represented by the set of ordinary differential equations for the center of gravity and two tensor variables characterizing deformations. The other is an active cell model which has an internal mechanism of motility and is represented by the partial differential equation for deformations. Numerical simulations show a rich variety of dynamics, some of which are common to the two model systems. The origin of the similarity and the difference is discussed.