Analytical estimates of the vertical displacement growth rate in tokamaks with a resistive wall
Bibliographic record
Abstract
Analytical evaluation of the vertical displacement event (VDE) growth rate is the main subject here. The attention is attracted to the fact that the model with the plasma and wall boundaries treated as confocal ellipses, introduced by Laval et al. [Phys. Fluids 17, 835 (1974)] and used up until now in analytics, not only restricts the applicability range, but also strongly affects the outcome. In particular, improper utilization of the aforementioned model (i.e., by neglecting the assumption of the wall's confocality) leads to the prediction that the resistive wall with circular cross section cannot slow down the VDE—a conclusion beyond the applicability of the model. Here, we propose a new model and a new approach assuming rigid plasma motion, where the plasma is separated from the wall, and the main element in the task is the plasma–wall electromagnetic interaction. First, we propose a VDE growth time evaluation based on integral equation for the poloidal flux diffusion through the thin resistive shell, which is applicable for the walls of arbitrary shape. Then, the task is simplified by using the large-aspect-ratio expansion of the Green's function. As a result, a slow wall-stabilized motion is predicted in wide ranges of the plasma elongations and the width of the plasma–wall gap. The differences between the existing results and our new predictions are explained.
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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) | 0.001 | 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".