arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1502.01900cond-mat.dis-nncond-mat.softcond-mat.stat-mechphysics.flu-dyn
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合作弦与玻璃界面

Cooperative Strings and Glassy Interfaces

Thomas Salez, Justin Salez, Kari Dalnoki-Veress, Elie Raphaël, James A. Forrest

摘要:

我们介绍了一个最小的玻璃形成理论的基础上的思想,分子拥挤和由此产生的字符串合作重排,并解决自由界面的影响。在散装的情况下,我们得到了一个缩放的表达参与合作字符串的粒子数,我们恢复亚当-吉布斯描述的玻璃动力学。然后,通过包括热膨胀,Vogel-Fulcher-Tammann关系被导出。此外,随机和字符串的合作重排,使我们能够预测的体积弛豫的合作长度$ξ$的温度依赖的表达式。最后,我们探讨了当系统大小变得与$ξ$相当时样本边界的影响。该理论与聚合物薄膜的玻璃化转变温度的测量是一致的,并且允许量化界面移动层的温度依赖性厚度$h_{\textrm{m}}$。

英文摘要:

We introduce a minimal theory of glass formation based on the ideas of molecular crowding and resultant string-like cooperative rearrangement, and address the effects of free interfaces. In the bulk case, we obtain a scaling expression for the number of particles taking part in cooperative strings, and we recover the Adam-Gibbs description of glassy dynamics. Then, by including thermal dilatation, the Vogel-Fulcher-Tammann relation is derived. Moreover, the random and string-like characters of the cooperative rearrangement allow us to predict a temperature-dependent expression for the cooperative length $ξ$ of bulk relaxation. Finally, we explore the influence of sample boundaries when the system size becomes comparable to $ξ$. The theory is in agreement with measurements of the glass-transition temperature of thin polymer films, and allows to quantify the temperature-dependent thickness $h_{\textrm{m}}$ of the interfacial mobile layer.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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