Journal
JOURNAL OF PHYSICS-CONDENSED MATTER
Volume 30, Issue 9, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-648X/aaa8b8
Keywords
slow glassy relaxation; low-dimensional system; molecular dynamics simulation; colloids; dynamic correlation length
Categories
Funding
- JSPS KAKENHI [JP25103010, JP16H06018]
- Building Consortia for the Development of Human Resources in Science and Technology, the Ministry of Education, Culture, Sports, Science, and Technology, Japan
- Grants-in-Aid for Scientific Research [16H06018, 25103010, 16H04025] Funding Source: KAKEN
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It has recently been revealed that long-wavelength fluctuation exists in two-dimensional (2D) glassy systems, having the same origin as that given by the Mermin-Wagner theorem for 2D crystalline solids. In this paper, we discuss how to characterise quantitatively the long-wavelength fluctuation in a molecular dynamics simulation of a lightly supercooled liquid. We employ the cage-relative mean-square displacement (MSD), defined on relative displacement to its cage, to quantitatively separate the long-wavelength fluctuation from the original MSD. For increasing system size the amplitude of acoustic long wavelength fluctuations not only increases but shifts to later times causing a crossover with structural relaxation of caging particles. We further analyse the dynamic correlation length using the cage-relative quantities. It grows as the structural relaxation becomes slower with decreasing temperature, uncovering an overestimation by the four-point correlation function due to the long-wavelength fluctuation. These findings motivate the usage of cage-relative MSD as a starting point for analysis of 2D glassy dynamics.
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