Bánsági Tamás, Meyer Kevin J, Steinbock Oliver
Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, USA.
J Chem Phys. 2008 Mar 7;128(9):094503. doi: 10.1063/1.2835602.
Scroll waves are three-dimensional excitation patterns that rotate around one-dimensional space curves. Typically these filaments are closed loops or end at the system boundary. However, in excitable media with anomalous dispersion, filaments can be pinned to the wake of traveling wave pulses. This pinning is studied in experiments with the 1,4-cyclohexanedione Belousov-Zhabotinsky reaction and a three-variable reaction-diffusion model. We show that wave-pinned filaments are related to the coexistence of rotating and translating wave defects in two dimensions. Filament pinning causes a continuous expansion of the total filament length. It can be ended by annihilating the pinning pulse in a frontal wave collision. Following such an annihilation, the filament connects itself to the system boundary. Its postannihilation shape that is initially the exposed rim of the scroll wave unwinds continuously over numerous rotation periods.
螺旋波是围绕一维空间曲线旋转的三维激发模式。通常这些细丝是闭环或终止于系统边界。然而,在具有反常色散的可激发介质中,细丝可以被固定在行波脉冲的尾迹上。在1,4 - 环己二酮贝洛索夫 - 扎博廷斯基反应和一个三变量反应 - 扩散模型的实验中研究了这种固定现象。我们表明,波固定细丝与二维中旋转和平移波缺陷的共存有关。细丝固定导致细丝总长度的持续扩展。它可以通过在前沿波碰撞中消除固定脉冲来终止。在这样的湮灭之后,细丝连接到系统边界。其湮灭后的形状最初是螺旋波的暴露边缘,在许多旋转周期内持续展开。