Propagation Failure in an Array of Oregonator Cells and Irreversible Thermodynamics of an Assembly of Discrete Systems
Bibliographic record
Abstract
In this paper we report on a numerical study of wave propagation and its failure in a one-dimensional array of coupled chemical cells and irreversible thermodynamics of the array. The Oregonator model for the Belousov−Zhabotinsky reaction is used to model the chemical reactions. In particular, we investigate the dependence of wave front propagation failure on the mass exchange rate for the Ce 4+ component between cells and on the amplitude of a perturbation employed to trigger a propagation of transition from an initially homogeneous state to final stationary patterns reached by the system. In the case of the Oregonator, there appear two critical mass transfer rates at which propagation failure occurs, in contrast to the cases of the cubic model or the sine-Gordon model reported in the literature. By following the evolution of the calortropy production accompanying wave propagation, we construct phase diagrams that provide valuable insights into the propagation failure phenomenon. The global calortropy production is shown to exhibit discontinuous changes with respect to the transfer rate when propagation failure occurs. When a complete propagation failure occurs, the global calortropy flux through the array vanishes, whereas it is nonvanishing when there is a partial or complete propagation of the wave front. When the calortropy flux vanishes, the wave front speed and the net mass flux between the cells also vanish.
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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 | 0.000 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 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 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".