Chakrabarty Saurish, Tah Indrajit, Karmakar Smarajit, Dasgupta Chandan
International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Shivakote, Hesaraghatta, Hubli, Bangalore, 560089, India.
Centre for Interdisciplinary Sciences, Tata Institute of Fundamental Research, 21 Brundavan Colony, Narisingi, Hyderabad 500075, India.
Phys Rev Lett. 2017 Nov 17;119(20):205502. doi: 10.1103/PhysRevLett.119.205502. Epub 2017 Nov 16.
We present block analysis, an efficient method of performing finite-size scaling for obtaining the length scale of dynamic heterogeneity and the point-to-set length scale for generic glass-forming liquids. This method involves considering blocks of varying sizes embedded in a system of a fixed (large) size. The length scale associated with dynamic heterogeneity is obtained from a finite-size scaling analysis of the dependence of the four-point dynamic susceptibility on the block size. The block size dependence of the variance of the α relaxation time yields the static point-to-set length scale. The values of the obtained length scales agree quantitatively with those obtained from other conventional methods. This method provides an efficient experimental tool for studying the growth of length scales in systems such as colloidal glasses for which performing finite-size scaling by carrying out experiments for varying system sizes may not be feasible.
我们提出了块分析方法，这是一种用于执行有限尺寸标度以获取动态非均匀性长度尺度和通用玻璃形成液体的点到集长度尺度的有效方法。该方法涉及考虑嵌入在固定（大）尺寸系统中的不同大小的块。与动态非均匀性相关的长度尺度是通过对四点动态磁化率对块大小的依赖性进行有限尺寸标度分析得到的。α弛豫时间方差的块大小依赖性产生静态点到集长度尺度。所获得的长度尺度值在数量上与通过其他传统方法获得的值一致。该方法为研究诸如胶体玻璃等系统中长度尺度的增长提供了一种有效的实验工具，对于这些系统，通过对不同系统大小进行实验来执行有限尺寸标度可能不可行。
