Stress relaxation following sudden cessation of steady shearing from polymer rotarance theory
Bibliographic record
Abstract
Deriving rheological material functions from rotarance theory proceeds in two steps. We first solve the general diffusion equation to get the polymer orientation distribution, then we integrate the result in phase space to get the material functions. Rotarance theory thus relies entirely on polymer orientation to explain the elasticity of a polymeric liquid and, thus, to explain how such complex fluids depart from Newtonian behavior. We are attracted to rotarance theory by virtue of its versatility. The rheological behavior can be deduced, from first principles, from the structure of the macromolecule. However, of the 13 canonical rheological material functions, 5 are still unknown. We devote this paper to stress relaxation following cessation of steady shear flow. We arrive at analytical expressions for the relaxation of the orientation distribution function and then integrate this to get expressions for the relaxation of the shear stress, along with both normal stress differences.
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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".