### Abstract

Extensive molecular dynamics simulations are performed for a hard-sphere fluid at 6% polydispersity. The simulation results are then analyzed based on the mean-field theory proposed recently by Tokuyama (Physica A 364, 23-62 (2006)). The phase diagram and the dynamic behavior are investigated fully in each phase. It is then found that as the volume fraction is increased, a supercooled liquid phase appears at the supercooled point _{β} (≃ 0.5524) and a transition from supercooled liquid to crystal then occurs at the melting volume fraction _{m}^{(1)}(≃0.5625). As is further increased, a transition from crystal to supercooled liquid (re-entrant melting) is also observed at the second melting volume fraction _{m}^{(2)}(≃0.5770) within a waiting time t_{w} = 7 × 10^{4}t_{0}, where t_{0} is a time for a particle to move over a distance of a particle radius with an average velocity. The glass transition is thus predicted to occur at the glass transition volume fraction _{g} (≃ 0.6005). The various aspects obtained in our study is quite similar to those in the experiment for the suspension of hard spheres, including the logarithmic growth of the mean-square displacement in fast-β stage, the non-singular behavior of the long-time self-diffusion coefficient, and the non divergence of any characteristic times, such as the α- and β-relaxation times.

Original language | English |
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Title of host publication | FLOW DYNAMICS |

Subtitle of host publication | The Second International Conference on Flow Dynamics |

Pages | 26-36 |

Number of pages | 11 |

DOIs | |

Publication status | Published - 2006 May 5 |

Event | FLOW DYNAMICS: The Second International Conference on Flow Dynamics - Sendai, Japan Duration: 2005 Nov 16 → 2005 Nov 18 |

### Publication series

Name | AIP Conference Proceedings |
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Volume | 832 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Other

Other | FLOW DYNAMICS: The Second International Conference on Flow Dynamics |
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Country | Japan |

City | Sendai |

Period | 05/11/16 → 05/11/18 |

### Keywords

- Glass transition
- Hard spheres
- Re-entrant melting
- Solid-liquid transition
- Supercooled liquid

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

*FLOW DYNAMICS: The Second International Conference on Flow Dynamics*(pp. 26-36). (AIP Conference Proceedings; Vol. 832). https://doi.org/10.1063/1.2204460