Deformation of a self-propelled domain in an excitable reaction-diffusion system
Statistical Mechanics
2015-05-13 v1 Soft Condensed Matter
Abstract
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.
Keywords
Cite
@article{arxiv.0908.0197,
title = {Deformation of a self-propelled domain in an excitable reaction-diffusion system},
author = {Takao Ohta and Takahiro Ohkuma and Kyohei Shitara},
journal= {arXiv preprint arXiv:0908.0197},
year = {2015}
}
Comments
4 figures