Theoretical derivation of particle collision kernels and its enhancement at a high concentration from a first-time-passage approach in the diffusive regime
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Bibliographic record
Abstract
A theoretical explanation for obtaining collision kernels from the first-time passage approach proposed by [Gopalakrishnan, R., & Hogan Jr., C. J. (2011). Aerosol Science and Technology, 45(12), 1499–1509] is developed in this work. This new approach leads to an interesting correction for particle coagulation at high concentrations and enlights the limitations of classical derivations by [Fuchs, N. A. (1964). Dover Publications] and [Friedlander, S. K. (2000). (Vol. 198). New York: Oxford University Press] where the transient part of the diffusive collision kernel is typically neglected.Copyright © 2023 American Association for Aerosol Research
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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 | 0.001 |
| Science and technology studies | 0.000 | 0.001 |
| 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 it