Data and scripts from: Growing timescales and lengthscales characterizing vibrations of amorphous solids

The data files in this collection are associated with the paper "Growing timescales and lengthscales characterizing vibrations of amorphous solids", Y. Jin, L. Berthier, P. Charbonneau, G. Parisi, B. Seoane, and F. Zamponi, PNAS, 2016. They include .dat, .eps, and .gle files with associated raw data and generating scripts to allow for replication of the figures.

Low-temperature properties of crystalline solids can be understood using harmonic perturbations around a perfect lattice, as in Debye's theory. Low-temperature properties of amorphous solids, however, strongly depart from such descriptions, displaying enhanced transport, activated slow dynamics across energy barriers, excess vibrational modes with respect to Debye's theory (i.e., a Boson Peak), and complex irreversible responses to small mechanical deformations. These experimental observations indirectly suggest that the dynamics of amorphous solids becomes anomalous at low temperatures. Here, we present direct numerical evidence that vibrations change nature at a well-defined location deep inside the glass phase of a simple glass former. We provide a real-space description of this transition and of the rapidly growing time and length scales that accompany it. Our results provide the seed for a universal understanding of low-temperature glass anomalies within the theoretical framework of the recently discovered Gardner phase transition.

本数据集收录的数据文件均关联于论文《表征非晶固体振动的时间尺度与长度尺度增长》（*Growing timescales and lengthscales characterizing vibrations of amorphous solids*），作者包括Y. Jin、L. Berthier、P. Charbonneau、G. Parisi、B. Seo及F. Zamponi，发表于《美国国家科学院院刊》（Proceedings of the National Academy of Sciences，PNAS）2016年。文件包含附带原始数据的.dat、.eps及.gle格式文件，以及可用于复刻论文全部图表的生成脚本。
晶体固体的低温物性可通过完美晶格附近的简谐微扰理论（即德拜理论（Debye's theory））进行阐释。然而，非晶固体的低温物性与此描述大相径庭：其展现出更强的输运能力、跨越能量势垒的激活慢动力学过程，相较于德拜理论存在额外振动模式（即玻色峰（Boson Peak）），且对微小机械形变呈现复杂的不可逆响应。上述实验观测间接表明，非晶固体的动力学行为在低温下存在反常特性。本研究提供了直接数值证据，证明在简单玻璃形成体系的玻璃态区域深处，振动模式的性质会在某一明确的临界位置发生转变。我们对该转变及其伴随的快速增长的时间尺度与空间尺度进行了实空间刻画。本研究结果为基于近期发现的Gardner相变（Gardner phase transition）的理论框架，统一理解低温玻璃反常物性提供了核心依据。