粘性有机液体中介电α过程近似平方根t松弛的普遍性
Prevalence of approximate square root t relaxation for the dielectric alpha process in viscous organic liquids
摘要：
本文介绍了有机玻璃形成液体的介电弛豫数据汇编从不同的群体，并补充了新的测量。感兴趣的主要量是$α$介电损耗的“最小斜率”，其在双对数图中作为频率的函数绘制（即，损耗峰值频率以上的数值上最大的斜率）。由53种液体的347个光谱组成的数据显示出接近-1/2的最小斜率，对应于短时间内介电弛豫函数的近似平方根时间依赖性。本文进一步研究了最小斜率与以下因素之间可能存在的相关性：1）通过损耗峰值频率量化的温度; 2）逆幂律拟合损耗峰值以上数据的程度; 3）时间-温度叠加程度; 4）损耗峰值半宽; 5）偏离非阿克里欧斯行为; 6）损耗强度。对于前三个点，我们发现相关性表明液体的特殊状态，最小斜率接近-1/2。对于最后三个点，只有相当不显著的相关性被发现与大损失的液体，其中有最小的斜率是数值显着大于1/2和损失峰值宽度显着小于大多数其他液体的除外。我们的结论是-排除大损失的液体-近似$\sqrt t$松弛似乎是一个通用的属性的$α$松弛的有机玻璃形成者。
英文摘要：
This paper presents dielectric relaxation data for organic glass-forming liquids compiled from different groups and supplemented by new measurements. The main quantity of interest is the "minimum slope" of the $α$ dielectric loss plotted as a function of frequency in a log-log plot (i.e., the numerically largest slope above the loss peak frequency). The data consisting of 347 spectra for 53 liquids show prevalence of minimum slopes close to -1/2, corresponding to approximate square-root-time dependence of the dielectric relaxation function at short times. The paper further studies possible correlations between minimum slopes and: 1) Temperature quantified via the loss-peak frequency; 2) How well an inverse power law fits data above the loss peak; 3) Degree of time-temperature superposition; 4) Loss-peak half width; 5) Deviation from non-Arrhenius behavior; 6) Loss strength. For the first three points we find correlations that indicate a special status of liquids with minimum slopes close to -1/2. For the last three points only fairly insignificant correlations are found with the exception of large-loss liquids, which have minimum slopes that are numerically significantly larger than 1/2 and loss peak widths that are significantly smaller than those of most other liquids. We conclude that -- excluding large-loss liquids -- approximate $\sqrt t$ relaxation appears to be a generic property of the $α$ relaxation of organic glass formers.
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