约束几何中的非经典动力学：初始分布效应
Nonclassical Kinetics in Constrained Geometries: Initial Distribution Effects
摘要：
本文详细研究了初始分布对一维不可逆反应A+B -> 0动力学演化的影响。我们的分析以及数值计算工作是基于这个反应的反应扩散模型。我们专注于在创建的宏观模式，导致在这个系统中的众所周知的动力学异常的初始密度波动的作用。特别是，我们讨论的初始波动的长波长分量在确定系统的长时间行为的作用。我们注意到，经常研究的随机初始分布只是导致有趣的异常行为的各种可能的分布之一。我们的讨论包括一个初始分布与相关的A-B对和一个初始分布形成分形图案。前者是其长波长分量被抑制的分布的示例，而后者是其长波长分量相对于随机分布的长波长分量被增强的分布的示例。
英文摘要：
We present a detailed study of the effects of the initial distribution on the kinetic evolution of the irreversible reaction A+B -> 0 in one dimension. Our analytic as well as numerical work is based on a reaction-diffusion model of this reaction. We focus on the role of initial density fluctuations in the creation of the macroscopic patterns that lead to the well-known kinetic anomalies in this system. In particular, we discuss the role of the long wavelength components of the initial fluctuations in determining the long-time behavior of the system. We note that the frequently studied random initial distribution is but one of a variety of possible distributions leading to interesting anomalous behavior. Our discussion includes an initial distribution with correlated A-B pairs and one in which the initial distribution forms a fractal pattern. The former is an example of a distribution whose long wavelength components are suppressed, while the latter exemplifies one whose long wavelength components are enhanced, relative to those of the random distribution.
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