Mapping from a fragile glass-forming system to a simpler one near their glass transitions

Michio Tokuyama, Takayuki Narumi and Eri Kohira

Physica A: Statistical Mechanics and its Applications, 2007, vol. 385, issue 2, 439-455

Abstract: Extensive molecular-dynamics simulations on two different glass-forming systems are performed to test the prediction proposed recently by the mean-field theory (MFT) of glass transition that a fragile system can be mimicked by a simpler one near their glass transitions. One is a simulation for a hard-sphere fluid with size polydispersity where the volume fraction φ is a control parameter and the other is for a Lennard-Jones binary mixture where the inverse temperature 1/T is a control parameter. Then, their mean-square displacements are fully analyzed by MFT. Thus, we show that both results are collapsed on a master curve given by MFT when DSL(φ)=DSL(T), where DSL is a long-time self-diffusion coefficient. We also investigate the non-singular behavior of DSL consistently from a unified standpoint based on MFT. Thus, we show that macroscopic physical quantities in a fragile system can be transformed into those in a simpler one through a universal parameter DSL.

Keywords: Glass transition; Hard-sphere fluid; Lennard-Jones binary mixture; Long-time self-diffusion coefficient; Mean-field theory; Mean-square displacement; Universality (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:385:y:2007:i:2:p:439-455

DOI: 10.1016/j.physa.2007.07.007

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