论文标题
玻璃流变学的通用缩放定律
Universal Scaling Law of Glass Rheology
论文作者
论文摘要
液体和玻璃杯之间原子结构的相似性刺激了一个长期的假设,即玻璃的性质可能更像是流畅的,而不是明显的固体。原则上,可以通过测量流变对玻璃状态剪切应变速率的动态响应来表征玻璃的性质。但是,受玻璃和当前实验技术的脆性限制,玻璃的动态行为主要在超冷的液态或玻璃状态下评估在狭窄的速率范围内。因此,玻璃的性质尚未通过实验阐明。在这里,通过宽带应力松弛实验,我们报告了剪切应力对九个数量级的金属玻璃剪切应变速率的动态响应。金属眼镜的全光谱动态响应以及其他玻璃杯,包括硅酸盐和聚合物玻璃,颗粒材料,土壤,乳化剂,甚至是火蚂蚁聚集,遵循流体动力学框架内的普遍缩放法。此外,通用缩放定律提供了对干扰相图上的猜想的全面验证,通过该图表,可以通过温度,体积和压力在轨迹空间中的热力学变量来统一多种玻璃系统的动态行为。
The similarity in atomic structure between liquids and glasses has stimulated a long-standing hypothesis that the nature of glasses may be more fluid like, rather than an apparent solid. In principle, the nature of glasses can be characterized by measuring the dynamic response of rheology to shear strain rate in the glass state. However, limited by the brittleness of glasses and current experimental techniques, the dynamic behaviors of glasses were mainly assessed in the supercooled liquid state or in the glass state within a narrow rate range. Therefore, the nature of glasses has not been well elucidated experimentally. Here we report the dynamic response of shear stress to shear strain rate of metallic glasses over nine orders of magnitude in time scale, equivalent to hundreds of years, by broadband stress relaxation experiments. The full spectrum dynamic response of metallic glasses, together with other glasses including silicate and polymer glasses, granular materials, soils, emulsifiers and even fire ant aggregations, follows a universal scaling law within the framework of fluid dynamics. Moreover, the universal scaling law provides comprehensive validation of the conjecture on the jamming phase diagram by which the dynamic behaviours of a wide variety of glass system can be unified under one rubric parameterized by thermodynamic variables of temperature, volume and stress in trajectory space.