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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >A statistical-mechanical theory of slow dynamics near the glass transition
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A statistical-mechanical theory of slow dynamics near the glass transition

机译：玻璃转变附近慢动力学的统计力学理论

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摘要

A statistical-mechanical theory of slow dynamics near the glass transition in two kinds of glass-forming systems, (M) molecular systems and (S) suspensions of colloids, is presented from a unified point of view based on the Tokuyama-Mori projection operator method. The exact diffusion equations for the coherent- and the incoherent-intermediate scattering functions are first derived, whose memory functions are convolutionless in time and contain the correlation effects due to the hydrodynamic interactions in (S). The analytic expressions of the memory functions are then calculated within the mode-coupling theory (MCT) approximation and are shown to coincide with the conventional ones obtained by MCT. Alternative mode-coupling equations are thus obtained in (M) and (S) separately. Self-diffusion is also discussed. Alternative equations for the mean-square displacement and the non-Gaussian parameter are also derived within MCT approximation. All results in both the systems are compared with those obtained by MCT.
机译：基于Tokuyama-Mori投影算子从统一的角度提出了一种统计力学理论，该力学机理是在两种玻璃形成系统（M）分子系统和（S）胶体悬浮液中，靠近玻璃化转变的慢动力学。方法。首先导出相干和非相干中间散射函数的精确扩散方程，其记忆函数在时间上无卷积，并且由于（S）中的水动力相互作用而包含相关效应。然后，在模耦合理论（MCT）近似值内计算出存储函数的解析表达式，并证明与MCT所获得的常规表达式一致。因此，分别在（M）和（S）中获得替代的模式耦合方程。还讨论了自我扩散。均方位移和非高斯参数的替代方程式也在MCT近似内得出。将两个系统中的所有结果与通过MCT获得的结果进行比较。

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