Deformation of a self-propelled domain in an excitable reaction-diffusion system

Autor:	Ohta, Takao, Ohkuma, Takahiro, Shitara, Kyohei
Rok vydání:	2009
Předmět:	Condensed Matter - Statistical Mechanics Condensed Matter - Soft Condensed Matter
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.80.056203
Popis:	We formulate the theory for a self-propelled domain in an excitable reaction-diffusion system in two dimensions where the domain deforms from a circular shape when the propagation velocity is increased. In the singular limit where the width of the domain boundary is infinitesimally thin, we derive a set of equations of motion for the center of gravity and two fundamental deformation modes. The deformed shapes of a steadily propagating domain are obtained. The set of time-evolution equations exhibits a bifurcation from a straight motion to a circular motion by changing the system parameters. Comment: 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0908.0197 Zobrazit plný text záznamu View this record from Arxiv