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

Autor:	Frank, T. D.
Rok vydání:	2015
Předmět:	Nonlinear Sciences - Pattern Formation and Solitons Condensed Matter - Soft Condensed Matter Physics - Chemical Physics
Zdroj:	Condens. Matter Phys., 2014, vol. 17, No. 4, 43002
Druh dokumentu:	Working Paper
DOI:	10.5488/CMP.17.43002
Popis:	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. Comment: 12 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1501.03468 Zobrazit plný text záznamu View this record from Arxiv