论文标题
玻璃杯中的加德纳相关长度比例
The Gardner correlation length scale in glasses
论文作者
论文摘要
Gardner长度尺度$ξ$是Gardner Transition附近的相关长度，这是在玻璃杯中避免过渡，其中玻璃相相断裂在实验时间尺度上散布到较小的子底碱。 We argue that $ξ$ grows like $ \sim \sqrt{B_{\infty}/G_{\infty}}$, where $B_{\infty}$ is the bulk modulus and $G_{\infty}$ is the shear modulus, both measured in the high-frequency limit of the glassy state.我们建议可以从应力压力相关函数中推断出$ξ$，这对于实验研究比研究系统的两个副本更实用，这只能在数值模拟中进行。我们的论点是通过在狭窄的通道中移动的磁盘系统的明确计算来说明的，该磁盘系统通过传输矩阵技术恰好解决。
The Gardner length scale $ξ$ is the correlation length in the vicinity of the Gardner transition, which is an avoided transition in glasses where the phase space of the glassy phase fractures into smaller sub-basins on experimental time scales. We argue that $ξ$ grows like $ \sim \sqrt{B_{\infty}/G_{\infty}}$, where $B_{\infty}$ is the bulk modulus and $G_{\infty}$ is the shear modulus, both measured in the high-frequency limit of the glassy state. We suggest that $ξ$ might be inferred from stress-stress correlation functions, which is more practical for experimental investigation than studying two copies of the system, which can only be done in numerical simulations. Our arguments are illustrated by explicit calculations for a system of disks moving in a narrow channel, which is solved exactly by transfer matrix techniques.
