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2022-03-06
摘要翻译:
我们利用最近引入的三点动态磁化率,获得了在过冷液体结构弛豫过程中动态关联的分子数N_corr的温度演化的实验测定。我们首先详细讨论了三点函数的物理内容,这些函数将平均两次动力学的灵敏度与外部控制参数(如温度或密度)联系起来,以及它们与更标准的与动力学非均匀性相关的四点动力学敏感性的联系。然后我们证明了这些函数可以在实验中以很好的精度确定。我们收集了大量过冷液体在从玻璃化转变到慢动力学开始的宽弛豫时间尺度上N_corr的温度依赖关系。我们发现N_corr在接近玻璃化转变时系统地生长。它以一种接近玻璃化转变的温和方式这样做,这与玻璃形成材料中基于活化的动力学图像一致。对于较高的温度,N_corr表现为弛豫时间的幂律。最后,我们发现对密度的动态响应比对温度的动态响应小,但表现类似,与理论预期一致。
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英文标题:
《Spatial correlations in the dynamics of glassforming liquids:
  Experimental determination of their temperature dependence》
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作者:
C\'ecile Dalle-Ferrier, Caroline Thibierge, Christiane
  Alba-Simionesco, Ludovic Berthier, Giulio Biroli, Jean-Philippe Bouchaud,
  Fran\c{c}ois Ladieu, Denis L'H\^ote, Gilles Tarjus
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最新提交年份:
2007
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分类信息:

一级分类:Physics        物理学
二级分类:Statistical Mechanics        统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
  We use recently introduced three-point dynamic susceptibilities to obtain an experimental determination of the temperature evolution of the number of molecules, N_corr, that are dynamically correlated during the structural relaxation of supercooled liquids. We first discuss in detail the physical content of three-point functions that relate the sensitivity of the averaged two-time dynamics to external control parameters (such as temperature or density), as well as their connection to the more standard four-point dynamic susceptibility associated with dynamical heterogeneities. We then demonstrate that these functions can be experimentally determined with a good precision. We gather available data to obtain the temperature dependence of N_corr for a large number of supercooled liquids over a wide range of relaxation timescales from the glass transition up to the onset of slow dynamics. We find that N_corr systematically grows when approaching the glass transition. It does so in a modest manner close to the glass transition, which is consistent with an activation-based picture of the dynamics in glassforming materials. For higher temperatures, there appears to be a regime where N_corr behaves as a power-law of the relaxation time. Finally, we find that the dynamic response to density, while being smaller than the dynamic response to temperature, behaves similarly, in agreement with theoretical expectations.
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PDF链接:
https://arxiv.org/pdf/706.1906
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