Unified model theory of the glass transition I.Eight orders of instant 2-D mosaic geometric structures
首发时间:2007-05-11
Abstract:The nature of the glass transition may be disclosed that the glass transition is only determined by the intrinsic 8 orders of instant 2-D mosaic geometric structures, without any presupposition and relevant parameter. An interface excited state on the geometric structures comes from the additional Lindemann distance increment, which is a vector with 8 orders of relaxation times, 8 orders of additional restoring force moment (ARFM), quantized energy and extra volume. Each order of anharmonic ARFM gives rise to an additional position-asymmetry on a 2-D projection plane of a reference particle, thus, in removing additional position-asymmetry, the 8 orders of 2-D clusters and hard-spheres accompanied with the 4 excited interface relaxations of the reference particle have been illustrated. Dynamical behavior comes of the slow inverse energy cascade to generate 8 orders of clusters, to thaw a solid-domain, and the fast cascade to relax tension and rearrange structure. This model provides a unified mechanism to interpret hard-sphere, compacting cluster, free volume, cage, jamming behaviors, geometrical frustration, reptation, Ising model, breaking solid lattice, percolation, cooperative migration and orientation, critical entanglement chain length and structure rearrangements. It also directly deduces a series of quantitative values for the average energy of cooperative migration in one direction, localized energy independent of temperature and the activation energy to break solid lattice. In a flexible polymer system, there are all 320 different interface excited states that have the same quantized excited energy but different interaction times, relaxation times and phases. The quantized excited energy is about 6.4 k = 0.55meV.
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玻璃化转变的统一模型理论:1.内在的8级瞬时二维镶嵌几何结构
摘要:玻璃化转变的本质有可能只是由内在的8级瞬时2维镶嵌几何结构决定,不需要附加任何条件和假设。几何结构上的一个界面激发态起源于 Lindemann距离增量,这是一个具有8级松弛时间、8级附加恢复力矩、量子化能量和额外体积的矢量。每一级不和谐的附加恢复力矩将在一个参考粒子的某2维投影平面上引起一个附加的位置不对称性,于是,在消除这种位置不对称的过程中,伴随着该参考粒子的4个界面的松弛,8级集团和硬球将一步一步地被构造出来。固-液玻璃化转变转变的动力学行为起源于慢的反串级、以产生8级集团解冻固态domain,和快的串级、以松弛应力和重排结构。这个模型提供了一个统一的机理可解释:硬球、压缩集团、自由体积、jamming behaviors、 geometrical frustration、 蛇行、Ising 模型、破缺固态格子、逾渗、合作迁移和取向、临界缠结链长度和重排结构的粒子数。这一模型直接导出了一系列定量结果,包括沿一个方向的平均合作迁移能、不依赖温度的定域能、及破缺固态格子的活化能。在一个柔性高分子体系中,全部不同的界面激发态共有320个,它们具有相等的量子化界面激发能量及不同的互作用时间、松弛时间和相位。这个量子化界面激发能量约为 6.4 k = 0.55meV。
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玻璃化转变的统一模型理论:1.内在的8级瞬时二维镶嵌几何结构
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