Asymptotic regimes in elastohydrodynamic and stochastic leveling on a\n viscous film
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Bibliographic record
Abstract
An elastic sheet that deforms near a solid substrate in a viscous fluid is a\nsituation relevant to various dynamical processes in biology, geophysics and\nengineering. Here, we study the relaxation dynamics of an elastic plate resting\non a thin viscous film that is supported by a solid substrate. By combining\nscaling analysis, numerical simulations and experiments, we identify asymptotic\nregimes for the elastohydrodynamic leveling of a surface perturbation of the\nform of a bump, when the flow is driven by either the elastic bending of the\nplate or thermal fluctuations. In both cases, two distinct regimes are\nidentified when the bump height is either much larger or much smaller than the\nthickness of the pre-wetted viscous film. Our analysis reveals a distinct\ncrossover between the similarity exponents with the ratio of the perturbation\nheight to the film height.\n
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Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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