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

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

2009-08-03

arxiv.org/abs/0908.0197v1

Physics

Condensed Matter

Statistical Mechanics

4 figures

Scientific paper

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.

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