Spatial dimensionality dependence of long-time diffusion on two- and three-dimensional systems near glass transition

Yayoi Terada, Michio Tokuyama

研究成果: Article査読

1 被引用数 (Scopus)

抄録

The long-time diffusion process of hard disks is compared with that of hard spheres by performing extensive event-driven molecular simulations. The volume fraction dependence of the mean-square displacements, the self-intermediate scattering function, and the non-Gaussian parameter of both systems are fully investigated. The singular function, which has been theoretically proposed for three-dimensional systems by Tokuyama [Physica, vol. 364 (2006) 23-62], is found to describe the long-time self-diffusion coefficient of both hard disks and hard spheres. The characteristic times of the β relaxation process and the α relaxation process of hard disks are also found to be similar to those of hard spheres when the particles had the same long-time self-diffusion coefficient. The spatial dimension d changes the value of the glass transition point and peak height of the non-Gaussian parameter which are related to the geometric packing characteristics of hard disks and hard spheres.

本文言語English
ページ(範囲)1834-1836
ページ数3
ジャーナルIntermetallics
18
10
DOI
出版ステータスPublished - 2010 10月

ASJC Scopus subject areas

  • 化学 (全般)
  • 材料力学
  • 機械工学
  • 金属および合金
  • 材料化学

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