Deformable self-propelled domain in an excitable reaction-diffusion system in three dimensions
Deformable self-propelled domain in an excitable reaction-diffusion system in three dimensions
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三维可激发反应扩散系统中的可变形自驱动域
DOI：
10.1103/physreve.83.066208
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
T. Hiraiwa and T. Ohta
中科院分区：
文献类型：
--
作者：
K. Shitara;T. Hiraiwa and T. Ohta
本文导出了三维可激发反应扩散系统中孤立区域的运动方程。在奇异极限的界面是无限薄的，与变形耦合的质心运动的漂移分岔附近的一个静止的区域变得不稳定，并进行迁移的影响。这是我们先前二维理论的一个扩展。我们表明，有三个基本的运动域，直线运动，旋转运动，螺旋运动。最后一个是三维的特征。在原反应扩散方程的参数空间中给出了这三种解的相图。
We derive a set of equations of motion for an isolated domain in an excitable reaction-diffusion system in three dimensions. In the singular limit where the interface is infinitesimally thin, the motion of the center of mass coupled with deformation is investigated near the drift bifurcation where a motionless domain becomes unstable and undergoes migration. This is an extension of our previous theory in two dimensions. We show that there are three basic motions of a domain, straight motion, rotating motion, and helical motion. The last one is a characteristic of three dimensions. The phase diagram of these three solutions is given in the parameter space of the original reaction-diffusion equations.