团簇上的反应扩散
Reaction spreading on percolating clusters
摘要：
研究了二维扩散结构中的反应扩散过程。讨论了两个不同的问题：反应在蒸发团簇上的传播和通过蒸发通道的前沿传播。对于反应扩散，数值数据和分析估计显示反应产物的幂律行为为M（t）\sim t^dl，其中dl是连接维数。在振荡信道中，产生统计上平稳的行波。数值计算了行波的速度和宽度。虽然前缘速度是低波动量，并且其行为可以使用简单的理论论证来理解，但是前缘宽度是高波动量，其表现出作为通道尺寸的函数的幂律行为
英文摘要：
Reaction-diffusion processes in two-dimensional percolating structures are investigated. Two different problems are addressed: reaction spreading on a percolating cluster and front propagation through a percolating channel. For reaction spreading, numerical data and analytical estimates show a power-law behavior of the reaction product as M(t) \sim t^dl, where dl is the connectivity dimension. In a percolating channel, a statistically stationary traveling wave develops. The speed and the width of the traveling wave are numerically computed. While the front speed is a low-fluctuating quantity and its behavior can be understood using a simple theoretical argument, the front width is a high-fluctuating quantity showing a power-law behavior as a function of the size of the channel
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