永久凝胶模型中的动力学非均匀性：动力学非均匀性的不同行为
Dynamical heterogeneity in a model for permanent gels: Different behavior of dynamical susceptibilities
摘要：
我们提出了一个系统的研究动态异质性永久凝胶模型，接近凝胶化阈值。我们发现，自中间散射函数的波动是时间的增加函数，达到一个平台，其值，在大的长度尺度，符合平均集群大小和发散的渗流阈值。另一种动力学不均匀性的测量，即自重叠的波动，显示出一个峰值，并在很长一段时间内衰减到零。然而，峰值也与平均簇大小成比例。对于这种长时间行为的差异给出了论据。我们还发现，非高斯参数在长时间内达到一个平台。的非高斯参数，这是连接到集群的扩散率的波动的平台的值，随着体积分数的增加，并保持有限的逾渗阈值。
英文摘要：
We present a systematic study of dynamical heterogeneity in a model for permanent gels, upon approaching the gelation threshold. We find that the fluctuations of the self intermediate scattering function are increasing functions of time, reaching a plateau whose value, at large length scales, coincides with the mean cluster size and diverges at the percolation threshold. Another measure of dynamical heterogeneities, i.e. the fluctuations of the self-overlap, displays instead a peak and decays to zero at long times. The peak, however, also scales as the mean cluster size. Arguments are given for this difference in the long time behavior. We also find that non-Gaussian parameter reaches a plateau in the long time limit. The value of the plateau of the non-Gaussian parameter, which is connected to the fluctuations of diffusivity of clusters, increases with the volume fraction and remains finite at percolation threshold.
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