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Reformulation of time-convolutionless mode-coupling theory near the glass transition

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  • Tokuyama, Michio

Abstract

The time-convolutionless mode-coupling theory (TMCT) recently proposed is reformulated under the condition that one of two approximations, which have been used to formulate the original TMCT in addition to the MCT approximations done on a derivation of nonlinear memory function in terms of the intermediate-scattering function, is not employed because it causes unphysical results for intermediate times. The improved TMCT equation is then derived consistently under another approximation. It is first checked that the ergodic to non-ergodic transition obtained by a new equation is exactly the same as that obtained by an old one because the long-time dynamics of both equations coincides with each other. However, it is emphasized that a difference between them appears in the intermediate-time dynamics of physical quantities. Such a difference is explored numerically in the dynamics of a non-Gaussian parameter by employing the Percus–Yevick static structure factor to calculate the nonlinear memory function.

Suggested Citation

  • Tokuyama, Michio, 2017. "Reformulation of time-convolutionless mode-coupling theory near the glass transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 484(C), pages 453-464.
    • Handle: RePEc:eee:phsmap:v:484:y:2017:i:c:p:453-464
    DOI: 10.1016/j.physa.2017.04.107
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