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可激发反应系统中的三维螺旋波:涡旋环和涡旋环对的产生与动力学

Three-dimensional spiral waves in an excitable reaction system: initiation and dynamics of scroll rings and scroll ring pairs.

作者信息

Bánsági Tamás, Steinbock Oliver

机构信息

Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, USA.

出版信息

Chaos. 2008 Jun;18(2):026102. doi: 10.1063/1.2896100.

Abstract

We report experimental results on spiral and scroll waves in the 1,4-cyclohexanedione Belousov-Zhabotinsky reaction. The propagating concentration waves are detected by two-dimensional photometry and optical tomography. Wave pulses can disappear in front-to-front and front-to-back collisions. This anomaly causes the nucleation of vortices from collisions of three nonrotating waves. In three-dimensional systems, these vortices are scroll rings that rotate around initially circular filaments. Depending on reactant concentrations, the filaments shrink or expand indicating positive and negative filament tensions, respectively. Shrinkage results in vortex annihilation. Expansion is accompanied by filament buckling and bending, which is interpreted as developing Winfree turbulence. We also describe the initiation of scroll ring pairs in four-wave collisions. The two filaments are stacked on top of each other and their motion suggests filament repulsion.

摘要

我们报告了在1,4 - 环己二酮贝洛索夫 - 扎博廷斯基反应中螺旋波和卷轴波的实验结果。通过二维光度测量和光学层析成像检测传播的浓度波。波脉冲在正面碰撞和前后碰撞中会消失。这种异常现象会导致三个非旋转波碰撞时产生涡旋核。在三维系统中,这些涡旋是围绕初始圆形细丝旋转的卷轴环。根据反应物浓度,细丝会收缩或膨胀,分别表示正细丝张力和负细丝张力。收缩会导致涡旋湮灭。膨胀伴随着细丝的屈曲和弯曲,这被解释为发展中的温弗里湍流。我们还描述了四波碰撞中卷轴环对的产生。两根细丝相互堆叠,它们的运动表明细丝相互排斥。

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