果胶有限扩散聚集的模拟

Peter D. Hoagland
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引用次数: 1

摘要

在晶格上模拟了具有可变分子间交联概率的理想单分散果胶的端到端扩散限制聚集。聚集体被固定在晶格上,作为一种分段棒的结构。通过扩散单体的随机晶格运动数来测量,旋转的大小、长度、宽度和半径的平均值随时间的幂律增长。该结构表现出多重分形特性,这是由扩散过程和交联位点的随机产生引起的。在扩散单体持续存在的情况下,结构平均长度的增长与交联概率无关。结构平均尺寸的增长与交联平均数量的增长直接相关。平均长度、宽度和旋转半径与平均尺寸的增长呈幂律关系。Macintosh和IBM PC的源代码和可执行文件包含在这个问题的磁盘上。
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Simulation of diffusion-limited aggregation of pectin

End-to-end diffusion-limited aggregation of an ideal, monodisperse pectin species with variable probability of interrmolecular crosslinking has been simulated on a lattice. The aggregate was fixed on the lattice as a structure of segmented rods. The growth of averages of size, length, width, and radius of gyration followed a power law dependence on time as measured by number of random lattice movements of diffusing monomer. The structures exhibited multifractal properties that arise from both the diffusion process and the random generation of crosslinking sites. The growth of the average length of the structures was independent of probability of crosslinking under the condition of constant presence of diffusing monomer. The growth of the average size of the structures was directly related to the growth of the average number of crosslinks. Average length, width, and radius of gyration were related to growth of average size by power laws. Macintosh and IBM PC source code and executables are included on disk in this issue.

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