Hydrodynamic interaction within star-branched macromolecules
Bibliographic record
Abstract
Recent work arrived at expressions for the complex viscosity of a suspension of star-branched macromolecules [Coombs, Phys Fluids, 33, 093111 (2021)] using general rigid bead-rod theory without hydrodynamic interaction. In this work, we advance the theory by accounting for intramolecular interactions modeled with the interferences of Stokes flow solvent velocity profiles between adjacent beads. We derive the analytical expression for the complex viscosity of a suspension of four-arm star-branched macromolecules as a function of the number of beads in each arm NB and of the hydrodynamic interaction parameter A. We test our comprehensive theory against complex viscosity measurements of a cis-polybutadiene silicon-centered four-arm star suspension. We find the incorporation of hydrodynamic interaction improves the fit to complex viscosity measurements.
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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) | 0.001 | 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".