Relationship between bond-breakage correlations and four-point correlations in heterogeneous glassy dynamics: Configuration changes and vibration modes

Hayato Shiba, Takeshi Kawasaki, Akira Onuki

Research output: Contribution to journalArticle

31 Citations (Scopus)

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 S b(q,t) and the susceptibility χ b(t) to detect the spatial correlations of configuration changes. Here χ b(t) attains a maximum at t=tbmax as a function of time t, where the fraction of the particles with broken bonds φ b(t) is about 1/2. In the four-point scheme, treating the structure factor S 4(q,t) and the susceptibility χ 4(t), 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 χ 4(t) is attained at t=t4max, where these two contributions become of the same order. As a result, t4max is considerably shorter than tbmax.

Original languageEnglish
Article number041504
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume86
Issue number4
DOIs
Publication statusPublished - 2012 Oct 10
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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