Localization of random copolymers and the Morita approximation
Bibliographic record
Abstract
We discuss and analyse the Morita approximation for a number of different models of quenched random copolymer localization at the interface between two immiscible liquids. We focus on two directed models, bilateral Dyck paths and bilateral Motzkin paths, for which this approximation can be carried through analytically. We study the form of the phase diagram and find that the Morita approximation gives phase boundaries which are qualitatively correct. This is also true when a monomer–interface interaction is included in the model. When this interaction is attractive it can lead to separation of the phase boundaries, which is also a feature of the quenched problem. We note the existence of non-analytic points on the phase boundaries which may reflect tricritical points on the phase boundaries of the full quenched average problem. In certain regions of the phase plane this approximation can be extended to the self-avoiding walk model.
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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".