Possible explanation of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>Λ</mml:mi></mml:mrow></mml:math>-shape anomaly in polymer surface diffusion
Bibliographic record
Abstract
We suggest an explanation for the anomalous behavior of the polymer surface-diffusion coefficient $D$ reported by Zhao and Granick [J. Am. Chem. Soc. 126, 6242 (2004)]: $D$ first increased with increasing polymer surface concentration $\ensuremath{\Gamma}$, then suddenly dropped at a threshold value ${\ensuremath{\Gamma}}^{*}$. Our molecular dynamics simulations show the same behavior. We find that polymers form single-layered pancake structures for $\ensuremath{\Gamma}<{\ensuremath{\Gamma}}^{*}$, while double layers form for $\ensuremath{\Gamma}>{\ensuremath{\Gamma}}^{*}$. The double-layer structures allow the polymers to better adapt to the substrate corrugation. This increases barriers for lateral diffusion and is thus consistent with small values of $D$ at larger $\ensuremath{\Gamma}$.
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How this classification was reachedexpand
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 | 0.001 | 0.001 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.003 | 0.001 |
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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".