Collective diffusion in a non-homogeneous interacting lattice gas
Bibliographic record
Abstract
Collective diffusion in an interacting adsorbate on a non-homogeneous one-dimensional substrate is investigated within the framework of a variational approximation. The substrate inhomogeneity, appropriate to a periodically stepped adsorbate, is represented by a Schwoebel barrier at the step edge and a modified binding at the step site. An elementary cell of a periodic substrate consists of n identical terrace sites and one step site, i.e. it contains n + 1 sites. The adsorbed particles are allowed to interact with each other, both in equilibrium as well as during the transit of a hopping particle over the potential energy barrier separating the initial and the target adsorption site. The interactions modify the rates of particle jumps between the adsorption sites. Cases n = 1, 3 and 4 are investigated in considerable detail and, where appropriate, a comparison with the available computer simulation results in the literature for an analogous two-dimensional system is made. It is shown that preferential geometrical arrangements at several adsorbate densities (coverages) induced by repulsive intra-adsorbate interactions lead to features on the diffusion coefficient versus the coverage curves which can be consistently interpreted. The origin of these features and their relation to intra-adsorbate correlations are examined and discussed. Where possible, the variational theoretical results are confronted with the results of our own computer simulation studies of diffusion.
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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".