Quantum statistical theory of localized physisorption
Bibliographic record
Abstract
A quantum statistical theory of phonon-mediated localized physisorption has been developed by setting up the initial-value problem within nonequilibrium statistical mechanics and calculating the desorption times appropriate for the various experimental procedures, i.e., virgin adsorption, isothermal desorption, and flash desorption. We are able to delimit the temperature range over which the Arrhenius-Frenkel parametrization of the desorption time td = t0d exp(Q/kT) is acceptable. We calculate desorption times for the He/Constantan system which develops one weak bound state at an energy E0/kB = −25 K and show by comparison with experiments that the rather long flash desorption times (t0d ˜ 10−7 sec at temperatures between 4 and 20 K) are the result of the weak coupling (range of surface potential ca. 2.5 Å) between the gas and the phonons of the solid. We can correlate isothermal and flash desorption times and suggest the temperature range where differences in these times can be detected. A complete fourth-order calculation enables us to delineate the range of validity of the one-phonon (second-order) theory and of the relaxation time approach to desorption. Extensive numerical results are shown and discussed.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.003 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.003 | 0.001 |
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 source (direct Gemma or distilled Codex), 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".