Nonequilibrium dynamics of single polymer molecules: Relaxation close to and far from equilibrium
Bibliographic record
Abstract
Abstract A master equation approach is used to study the relaxation of single polymer molecules. For relaxation close to equilibrium, a Fokker–Planck equation is derived via a Kramers–Moyal expansion. Far from equilibrium, two scenarios are studied: (i) an initial force that stretched the molecule to a certain length is suddenly released and the time evolution to the final force‐free equilibrium is followed; and (ii) a force of a certain magnitude is suddenly applied to a molecule and the time evolution to the final equilibrium stretching at that force is followed. Initial transients, dominated by many time scales, are followed by a roughly exponential decay. Final approach to equilibrium is again exponential, but on a time scale many orders of magnitude slower. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2006
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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".