Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective
Pattern Formation and Solitons
2015-01-15 v1 Soft Condensed Matter
Chemical Physics
Abstract
A potential dynamics approach is developed to determine the periodic standing and traveling wave patterns associated with self-propelling camphor objects floating on ring-shaped water channels. Exact solutions of the wave patterns are derived. The bifurcation diagram describing the transition between the immobile and self-propelling modes of camphor objects is derived semi-analytically. The bifurcation is of a pitchfork type which is consistent with earlier theoretical work in which natural boundary conditions have been considered.
Keywords
Cite
@article{arxiv.1501.03468,
title = {Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective},
author = {T. D. Frank},
journal= {arXiv preprint arXiv:1501.03468},
year = {2015}
}
Comments
12 pages, 4 figures