Monte Carlo and Mean Field Study of Diblock Copolymer Micelles
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Bibliographic record
Abstract
When small concentrations of A- b -B diblock copolymer are mixed with selective solvent or A homopolymer, they often form spherical micelles with cores comprised of the B blocks. Mean field theory predicts that the core radii scale primarily with the degree of polymerization of the B block as with α ≃ 2/3 or larger, and this is consistent with many experimental data. However, recent experiments on very strongly segregated “crew-cut” micelles indicate a much weaker dependence. In this paper, we study crew-cut micelles using a simple mean field theory and Monte Carlo simulations. The Monte Carlo simulations include the calculation of the system relaxation times, which are used both to determine the simulation times required to reach equilibrium and to examine, at least qualitatively, the variable solvent qualities at which the micelle structures become “frozen in” for different polymer molecular weights. The mean field results for these crew-cut, strongly segregated micelles are consistent with previous mean field calculations, giving α = 0.77 at fixed solvent quality. The Monte Carlo results indicate that nonequilibrium effects result in a weaker power law, as observed experimentally.
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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) | 0.001 | 0.000 |
Machine scores (provisional)
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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 it