Abstract
We investigate the dynamic heterogeneities of glassy particle systems in the theoretical schemes of bond breakage and four-point correlation functions. In the bond-breakage scheme, we introduce the structure factor and the susceptibility to detect the spatial correlations of configuration changes. Here attains a maximum at as a function of time , where the fraction of the particles with broken bonds is about . In the four-point scheme, treating the structure factor and the susceptibility , we detect superpositions of the heterogeneity of bond breakage and that of thermal low-frequency vibration modes. While the former grows slowly, the latter emerges quickly to exhibit complex space-time behavior. In two dimensions, the vibration modes extending over the system yield significant contributions to the four-point correlations, which depend on the system size logarithmically. A maximum of is attained at , where these two contributions become of the same order. As a result, is considerably shorter than .
9 More- Received 28 May 2012
- Corrected 24 October 2012
DOI:https://doi.org/10.1103/PhysRevE.86.041504
©2012 American Physical Society
Corrections
24 October 2012