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Stretched-exponential relaxation: the role of system size

机译:指数级舒展:系统规模的作用

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摘要

We investigate the role of system size on stretched-exponential relaxation which arises from a convolution of two competing exponential processes. We find that above a cross-over time t(x) that depends logarithmically on the size of the system the relaxation changes from a stretched exponential to a single-exponential decay. The rate of the exponential also depends logarithmically on the system size. This anomalous size dependence is exemplified by the trapping problem and by the model of hierarchically constrained dynamics. [References: 29]
机译:我们调查了系统大小在拉伸指数松弛中的作用,这是由两个相互竞争的指数过程的卷积引起的。我们发现,在交叉时间t(x)之上,对数取决于系统的大小,弛豫从拉伸的指数衰减变为单指数衰减。指数的速率也从对数上取决于系统大小。这种异常大小的依赖性通过捕获问题和分层约束动力学模型来说明。 [参考:29]

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