Bibliographic record
Abstract
In this paper we examine directed path models of polymers adsorbing at a linear boundary while subject to long ranged, short ranged, and periodic attractions. The generating functions of these models are infinite continued fractions, which may be analyzed to examine the free energies and bound the critical curves in the models. In each model the path interacts with the boundary through a force that is distance dependent, and via vertices binding to the boundary with a binding energy. We recover as special cases results for (1) the adsorption of a directed path into a thickened boundary layer, (2) the adsorption of paths adsorbing in a periodic force field and in an environment with an infinite set of defect planes, (3) the adsorption of a path subject to a short ranged force, and finally, (4) the adsorption of a path subject to a long ranged force. In each of these models we give estimates or exact values of free energies and critical points. The phase diagrams of the models are also examined.
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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".