Two floating camphor particles interacting through lateral capillary force

Abstract

We consider a mathematical model for a two-particle system driven by the spatial gradient of a concentration field of chemicals with conservative attractive interactions in one dimension. This setup corresponds to an experimental system with floating camphor particles at a water surface. Repulsive interaction is introduced, as well as self-propelling force, through the concentration field of camphor molecules at the water surface. Here we newly adopt the attractive lateral capillary force due to the deformation of the water surface. The particles experience competing dissipative repulsion and conservative attraction. We numerically investigated the mathematical model, and found six different modes of motion. The theoretical approach revealed that some of such mode transitions can be understood in terms of bifurcation.

9 pages, 6 figures

References in corpus (5)

• Motility-Induced Phase Separation
• Self Running Droplet: Emergence of Regular Motion from Nonequilibrium Noise
• Mode Selection in the Spontaneous Motion of an Alcohol Droplet
• Rotational motion of a camphor disk in a circular region
• Power law observed in the motion of an asymmetric camphor boat under viscous conditions

Cited by in corpus (3)

• Theoretical modeling of capillary surfer interactions on a vibrating fluid bath
• Pairing-induced motion of source and inert particles driven by surface tension
• Modeling of chemically active particles at an air-liquid interface