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Author:Mihail Turlakov
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# Medium-range order in glasses and beyond ## [1991 - Elliott](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5468/elliott.pdf) 2023 [Revealing the relationship between liquid fragility and medium-range order in silicate glasses](https://www.nature.com/articles/s41467-022-35711-6)⏎ ⏎ 1992 [A Unified Model for the Low-Energy Vibrational Behaviour of Amorphous Solids](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5496/elliott-1992.pdf) > ... the phonon scattering caused by intrinsic density fluctuation domains in the structure, within which short- and medium-range > order is maintained and beyond which the material is structurally isotropic and homogeneous. > **Phonon localization occurs when the mean-free path is comparable to the size of the domains** 1991 [Origin of the First Sharp Diffraction Peak in the Structure Factor of Covalent Glasses - S. R. Elliott](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5636/elliott.pdf) ## 1979 [TOPOLOGY OF COVALENT NON-CRYSTALLINE SOLIDS II: MEDIUM-RANGE ORDER IN CHALCOGENIDE ALLOYS AND A-Si(Ge)](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5635/jc%2Bphillips.pdf) J.C. PHILLIPS [Introduction to the structure and the structural role of elements in glasses - Laurent Cormier](https://www.ustverre.fr/site/images/Site/Cargese_2017/Cormier_1.pdf) [Revealing hidden medium-range order in amorphous materials using topological data analysis - SØREN S. SØRENSEN](https://www.science.org/doi/10.1126/sciadv.abc2320) ## 2009 Monaco-Giordano [Breakdown of the Debye approximation for the acoustic modes with nanometric wavelengths in glasses](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5469/monaco.pdf) - 2009 [Anomalous properties of the acoustic excitations in glasses on the mesoscopic length scale](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5494/monaco.pdf) > we show that in glasses the structural disorder undermines the Debye model in a subtle way: The elastic continuum approximation for the > acoustic excitations breaks down abruptly on the mesoscopic,** medium-range-order length scale of 10 interatomic spacings, where it still works well for the corresponding crystalline systems** [anticipated and parametrized by Turlakov](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/4465/Low-temperature%2Bglasses%2BTurlakov%2B2003.pdf) ## https://www.sciencedirect.com/topics/physics-and-astronomy/medium-range-order # Parents * below $T_G$ glass temperature * at and above $T_G$ glass temperature * Small d-less couplingconstant - anomalous states in low-T glasses * below $T_G$ glass temperature- $\lambda/l$ ratio - P # Attachments * [](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5468/elliott.pdf) * [](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5469/monaco.pdf) * [](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5494/monaco.pdf) * [](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5496/elliott-1992.pdf) * [](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5635/jc%2Bphillips.pdf) * [](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5636/elliott.pdf)
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