Time-convolutionless mode-coupling theory near the glass transition: Numerical solutions for the Percus-Yevick model

Kimura, Y. and Tokuyama, M. (2016) Time-convolutionless mode-coupling theory near the glass transition: Numerical solutions for the Percus-Yevick model. Il nuovo cimento C, 39 (3). pp. 1-9. ISSN 1826-9885

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Abstract

The full numerical solutions of the time-convolutionless modecoupling theory (TMCT) equation recently proposed by Tokuyama are compared with those of the ideal mode-coupling theory (MCT) equation based on the Percus-Yevick static structure factor for hard spheres qualitatively and quantitatively. The ergodic to non-ergodic transition at the critical volume fraction φc predicted by MCT is also shown to occur even for TMCT. Thus, φc of TMCT is shown to be much higher than that of MCT. The dynamics of coherent-intermediate scattering functions and their two-step relaxation process in a β stage are also discussed.

Item Type: Article
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 29 Sep 2020 16:13
Last Modified: 29 Sep 2020 16:13
URI: http://eprints.bice.rm.cnr.it/id/eprint/19296

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