具有聚类模式的回火松弛
Tempered relaxation with clustering patterns
摘要：
这项工作的动机是弛豫数据的材料表现出的分数幂律指数之间的关系的变化时，观察到不同的弛豫峰在其介电磁化率。在该框架内，我们推导出了一个频域弛豫函数，该函数分别与低频和高频分数阶指数γ和-α相对应，适用于整个双幂律介电谱数据范围。我们表明，这种效果的结果从不同的过程的贡献。对于高频率，它是由随机停止和运动的放松组件，和低频斜率是由集群在他们的时间变化。
英文摘要：
This work is motivated by the relaxation data for materials which exhibit a change of the relationship between the fractional power-law exponents when different relaxation peaks in their dielectric susceptibility are observed. Within the proposed framework we derive a frequency-domain relaxation function fitting the whole range of the two-power-law dielectric spectroscopy data with independent low- and high-frequency fractional exponents γ and -α, respectively. We show that this effect results from a contribution of different processes. For high frequencies it is determined by random stops and movement of relaxing components, and the low-frequency slope is caused by clustering in their temporal changes.
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