介观MCT理论解决巨非高斯参数和弗洛伊 conjecture
Mesoscopic MCT theory resolves Giant Non-Gaussian Parameter and Flory's conjecture
AI总结：
介观MCT理论通过引入非平衡本相，解决了玻璃转变中巨非高斯参数和WLF常数的长期谜题，建立了非平衡热力学的可测量基础。
摘要：
将普里戈金的想法扩展到系统内部，我们通过引入非平衡本相来将模式耦合理论从微观扩展到介观 formulation。所得到的框架用误差小于0.01的精度解决了玻璃转变物理中两个长期存在的谜题：(i) 巨非高斯参数α₂≈1-10，比标准MCT预测（仅0.1）大两个数量级；(ii) 通用WLF常数C₁=17 ln 10/(3√42-19)≈16.7，经经验观察七十年但从未从第一原理推导出来（例如，Adam-Gibbs C₁=8.5，而其他理论误差超过两倍）。这些结果确立了介观MCT作为非平衡热力学的可测量基础，统一了玻璃形成系统中的动态异质性和热力学普遍性。
英文摘要：
Extending Prigogine's ideas to the interior of the system, we generalize mode-coupling theory from a microscopic to a mesoscopic formulation by incorporating the non-equilibrium eigen-phase. The resulting framework resolves two long-standing puzzles in glass transition physics with an error less than 0.01 against experiments: (i) the giant non-Gaussian parameter $α_{2} \sim 1-10$ which exceeds standard MCT predictions (only 0.1) by two orders of magnitude; (ii) the universal WLF constant $C_{1}=17 \ln 10 /(3 \sqrt{42}-19) \approx 16.7$, empirically observed for seven decades but never derived from first principles(e.g. Adam-Gibbs $C_{1}=8.5$, while other theories are off by more than a factor of two). These results establish mesoscopic MCT as a measurable foundation for non-equilibrium thermodynamics, unifying dynamic heterogeneity and thermodynamic universality in glass-forming systems.
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