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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.16791 |
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Table of Contents:
- A constraint-modulated rate law for viscosity in glass-forming liquids is reported. The key assumption is that each configurational state is resolved independently under its current structural constraints, rather than as a point on a predetermined free-energy surface. This approach, termed Continuous Present Actualization (CPA), requires a rate law that tracks resolution cost as it changes with temperature. The formulation, CPA + Constraint (CPA+C), introduces a temperature-dependent constraint load C(T) that quantifies how configurational access narrows as a liquid approaches the glass transition. Tested against VFT and its modern divergence-free successors MYEGA and Avramov-Milchev on canonical datasets for ortho-terphenyl, salol, and boron trioxide, CPA+C outperforms all three on four of five datasets after full AIC penalization for its two additional parameters, with margins reaching Delta-AIC = 141. On two datasets the baseline kinetic parameter vanishes, reducing the effective model to four free parameters. BIC confirms the same ranking. A smooth sigmoid variant fits equally well or better. The single exception occurs on the narrowest-range dataset, where the temperature range is too narrow for the constraint transition to separate the model from simpler alternatives. Leave-one-out cross-validation on salol (n=95) confirms that CPA+C generalizes to held-out data with mean prediction error 3x lower than the next-best model.