Isotropic−Nematic Interface in a Lyotropic System of Wormlike Chains with the Onsager Interaction
Bibliographic record
Abstract
The effects of the flexibility of constituent wormlike chains on the interfacial properties between isotropic and nematic phases are investigated in a self-consistent mean-field approximation. The model is built from a wormlike chain formalism which crosses over from the rod limit to the flexible limit, and the Onsager-type interaction which describes the orientation-dependent repulsive interaction. Physical properties such as the surface tension, interfacial width, and density- and order-parameter profiles are numerically calculated as functions of varying flexibility (defined as the ratio between the total polymer length and the persistent length) and tilt angle (defined as the angle between the interfacial normal and the nematic director in the nematic phase). The resulting modified diffusion equation is numerically solved by using a combination of the Crank−Nicolson algorithm and SPHEREPACK, a software package that deals with the analysis and synthesis of spherical-harmonics functions.
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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".