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arXiv · 1502.01900

Cooperative Strings and Glassy Interfaces

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

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.

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Thomas Salez, Justin Salez, Kari Dalnoki-Veress, Elie Raphaël, James A. Forrest. 2015-06-11. Cooperative Strings and Glassy Interfaces. https://doi.org/10.1073/pnas.1503133112

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