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• W2016038135 abstract "We examine a length scale that characterizes the spatial extent of heterogeneous dynamics in a glass-forming binary hard-sphere mixture up to the mode-coupling volume fraction ${ensuremath{phi}}_{c}$. First, we characterize the system's dynamics. Then, we utilize a method [Phys. Rev. Lett. 105, 217801 (2010)] to extract and analyze the ensemble-independent dynamic susceptibility ${ensuremath{chi}}_{4}(t)$ and the dynamic correlation length $ensuremath{xi}(t)$ for a range of times between the $ensuremath{beta}$ and $ensuremath{alpha}$ relaxation times. We find that in this time range the dynamic correlation length follows a volume fraction-independent master curve $ensuremath{xi}(t)~mathrm{ln}(t)$. For longer times, $ensuremath{xi}(t)$ departs from this master curve and remains constant up to the largest time at which we can determine the length accurately. In addition to the previously established correlation ${ensuremath{tau}}_{ensuremath{alpha}}~mathrm{exp}[ensuremath{xi}({ensuremath{tau}}_{ensuremath{alpha}})]$ between the $ensuremath{alpha}$ relaxation time, ${ensuremath{tau}}_{ensuremath{alpha}}$, and the dynamic correlation length at this time, $ensuremath{xi}({ensuremath{tau}}_{ensuremath{alpha}})$, we also find a similar correlation for the diffusion coefficient $D~mathrm{exp}[ensuremath{xi}({ensuremath{tau}}_{ensuremath{alpha}}){}^{ensuremath{theta}}]$ with $ensuremath{theta}ensuremath{approx}0.6$. We discuss the relevance of these findings for different theories of the glass transition." @default.
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• W2016038135 date "2011-05-02" @default.
• W2016038135 modified "2023-10-12" @default.
• W2016038135 title "Analysis of a growing dynamic length scale in a glass-forming binary hard-sphere mixture" @default.
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• W2016038135 doi "https://doi.org/10.1103/physreve.83.051501" @default.
• W2016038135 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/21728534" @default.
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