### 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 language | English |
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Article number | 041504 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 86 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2012 Oct 10 |

Externally published | Yes |

### ASJC Scopus subject areas

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

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## Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*86*(4), [041504]. https://doi.org/10.1103/PhysRevE.86.041504