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arXiv 0712.0887cond-mat.softcond-mat.stat-mech
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吸引胶体的非均相玻璃态动力学的随机行走描述

A random walk description of the heterogeneous glassy dynamics of attracting colloids

Pinaki Chaudhuri, Yongxiang Gao, Ludovic Berthier, Maria Kilfoil, Walter Kob

摘要:

我们研究的吸引力的胶体粒子的异质动力学接近凝胶转变,使用共聚焦显微镜实验结合理论统计分析。我们专注于单粒子动力学,并表明范霍夫分布函数的自身部分并不是菲克过程所期望的高斯分布,而是反映了在任何给定时间具有广泛不同迁移率的胶体的存在。我们的共聚焦显微镜测量可以很好地描述一个简单的分析模型的基础上,一个传统的连续时间随机游走图片,已经发现在其他几个玻璃质材料。特别是,该理论成功地解释了范霍夫分布中宽尾的存在,这种分布在大距离处表现出指数衰减,而不是高斯衰减。

英文摘要:

We study the heterogeneous dynamics of attractive colloidal particles close to the gel transition using confocal microscopy experiments combined with a theoretical statistical analysis. We focus on single particle dynamics and show that the self part of the van Hove distribution function is not the Gaussian expected for a Fickian process, but that it reflects instead the existence, at any given time, of colloids with widely different mobilities. Our confocal microscopy measurements can be described well by a simple analytical model based on a conventional continuous time random walk picture, as already found in several other glassy materials. In particular, the theory successfully accounts for the presence of broad tails in the van Hove distributions that exhibit exponential, rather than Gaussian, decay at large distance.

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