Compaction of grafted wormlike chains under variable confinement
Bibliographic record
Abstract
We study the mean molecular shape features for a model of wormlike chains with variable persistence length and nonbonded pair interactions. The chains are modelled as end-grafted and confined within an infinite slab with variable thickness. By using two independent shape properties (mean size and the complexity of chain entanglements), as well as a reference model with no attractive interactions (the self-avoiding walk), we propose an unbiased criterion to detect the formation of compact configurations. This process of compaction resembles qualitatively the onset of a “collapse transition” in a finite-size polymer. The method can be used even for short and medium-size chains, where scaling arguments are not applicable. We show that compaction occurs both for free mushrooms and strongly-confined chains. Moreover, the onset of compaction appears to depend little on the level of confinement. We find the same characteristic behaviour for either flexible or stiff chains, or for chains with interactions covering the range from good to poor solvent.
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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 | 0.000 | 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)
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".