Monte Carlo Study of the Second Virial Coefficient and Statistical Exponent of Star Polymers with Large Numbers of Branches
Bibliographic record
Abstract
Computer simulations on the self- and mutual-avoiding effects of two star polymers in a good solvent are reported where the number f of the branches has been extended to the region where no experimental results are yet available. A simple and efficient Monte Carlo (MC) sampling technique was used for the lattice-model simulations. Calculations were performed for 8- to 24-arm star polymers, which complement our previous work and also Rubio et al.'s off-lattice MC simulations. The radius of gyration, the total number of configurations, and its exponent γ( f ) are evaluated. The values of γ( f ) obtained are consistent with the large f behavior ∼ f 3/2 predicted by Ohno ( Phys. Rev. 1989, A40, 1424). The pair-distribution function, the second virial coefficient, and the penetration function are also evaluated. The first order ε-expansion, which is a naive approximation of the penetration function, has been known to become increasingly inaccurate for large f . The results of the simulations give further confirmation of the inaccuracy.
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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) | 0.002 | 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".