Mesoscopic MCT theory resolves Giant Non-Gaussian Parameter and Flory's conjecture
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866912928404340736 |
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| author | Ren, Yikun Xu, Feixiang Lin, Ming |
| author_facet | Ren, Yikun Xu, Feixiang Lin, Ming |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13664 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mesoscopic MCT theory resolves Giant Non-Gaussian Parameter and Flory's conjecture Ren, Yikun Xu, Feixiang Lin, Ming Statistical Mechanics 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. |
| title | Mesoscopic MCT theory resolves Giant Non-Gaussian Parameter and Flory's conjecture |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2602.13664 |