On the Inextensible Elastica Model for the Collapse of Nanotubes
Why this work is in the frame
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Bibliographic record
Abstract
In this work, we study the collapse of nanotubes using an inextensible elastica model. Through phase plane analysis, we show that there exist collapsed configurations of different orders, each involving a different number of collapsed layers. Solutions corresponding to each order only exist if the equilibrium separation in the contact zone (a material property) is smaller than a certain value. Below the critical separation, there are two solutions for each order corresponding to each separation, a high energy solution and a low energy one. Some of the collapsed configurations are not physically accessible due to material interpenetration. This work puts a limitation on the applicability of the inextensible elastica model for the collapse of nanotubes.
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Full frame distilled prediction
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 | 0.001 | 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)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it