Dynamics of a deformable self-propelled particle under external forcing

TL;DR

This paper explores the complex behaviors of deformable self-propelled particles in two dimensions when subjected to external gravitational-like and electric-like forces, revealing diverse dynamic regimes.

Contribution

It introduces a model coupling particle deformation and motion under external forces, highlighting the rich dynamics arising from force variations.

Findings

Diverse dynamic behaviors observed with varying force strengths.

External forces significantly influence particle migration and deformation.

Model captures complex responses of deformable particles to external stimuli.

Abstract

We investigate dynamics of a self-propelled deformable particle under external field in two dimensions based on the model equations for the center of mass and a tensor variable characterizing deformations. We consider two kinds of external force. One is a gravitational-like force which enters additively in the time-evolution equation for the center of mass. The other is an electric-like force supposing that a dipole moment is induced in the particle. This force is added to the equation for the deformation tensor. It is shown that a rich variety of dynamics appears by changing the strength of the forces and the migration velocity of self-propelled particle.