Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective

• Published in: Condensed Matter Physics
• Date: 2014
• Main Author: Frank, T.D.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152888
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Exact solutions for chemical concentration waves of
 self-propelling camphor particles racing on a ring: A
 novel potential dynamics perspective
 / T.D. Frank // Condensed Matter Physics. — 2014. — Т. 17, № 4. — С. 43002: 1–12 — Бібліогр.: 28 назв. — англ.

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 betwee...