Glass transition and re-entrant melting in a polydisperse hard-sphere fluid

Michio Tokuyama, Yayoi Terada

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


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 tw = 7 × 104t0, where t0 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 languageEnglish
Title of host publicationFLOW DYNAMICS
Subtitle of host publicationThe Second International Conference on Flow Dynamics
Number of pages11
Publication statusPublished - 2006 May 5
EventFLOW DYNAMICS: The Second International Conference on Flow Dynamics - Sendai, Japan
Duration: 2005 Nov 162005 Nov 18

Publication series

NameAIP Conference Proceedings
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616


ConferenceFLOW DYNAMICS: The Second International Conference on Flow Dynamics


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


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