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Susceptibility functions for slow relaxation processes in supercooled liquids and the search for universal relaxation patterns

机译:过冷却过程中缓慢松弛过程的易感性   液体和寻求普遍的放松模式

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摘要

In order to describe the slow response of a glass former we discuss somedistribution of correlation times, e.g., the generalized gamma distribution(GG) and an extension thereof (GGE), the latter allowing to reproduce a simplepeak susceptibility such as of Cole-Davidson type as well as a susceptibilityexhibiting an additional high frequency power law contribution (excess wing).Applying the GGE distribution to the dielectric spectra of glass formersexhibiting no beta-process peak (glycerol, propylene carbonate and picoline) weare able to reproduce the salient features of the slow response (1e-6 Hz - 1e9Hz). A line shape analysis is carried out either in the time or frequencydomain and in both cases an excess wing can be identified. The latter evolvesin a universal way while cooling and shows up for correlation times tau_alpha >1e-8 s. It appears that its first emergence marks the break down of the hightemperature scenario of mode coupling theory. - In order to describe a glassformer exhibiting a beta-process peak we have introduced a distributionfunction which is compatible with assuming a thermally activated process incontrast to some commonly used fit functions. Together with the GGEdistribution this function allows in the frame of the Williams-Watts approachto completely interpolate the spectra, e.g. of fluoro aniline (1e-6 Hz - 1e9Hz). The parameters obtained indicate an emergence of both the excess wing andthe beta-process again at tau_alpha > 1e-8s.
机译:为了描述玻璃成型器的慢响应,我们讨论了相关时间的一些分布,例如广义伽玛分布(GG)及其扩展(GGE),后者允许重现诸如Cole-Davidson类型的简单峰值磁化率。将GGE分布应用于不具有β-过程峰(甘油,碳酸亚丙酯和甲基吡啶)的玻璃成型体的介电谱中,该GGE分布适用于能够重现其显着特征的GGE分布。慢响应(1e-6 Hz-1e9Hz)。线形分析在时域或频域中进行,在两种情况下都可以识别出多余的机翼。后者在冷却时以通用方式演化,并且出现的相关时间tau_alpha> 1e-8 s。似乎它的首次出现标志着模式耦合理论高温情景的崩溃。 -为了描述呈现出β-过程峰的玻璃成型者,我们引入了分布函数,该分布函数与假定热激活过程与某些常用拟合函数相反的假设是兼容的。结合GGE分布,此功能可在Williams-Watts方法的框架内完全内插光谱,例如氟苯胺(1e-6 Hz-1e9Hz)。所获得的参数表明,在tau_alpha> 1e-8s时,再次出现了多余的机翼和β过程。

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