Discrete 1-D port-Hamiltonian burning plasma control model
Bibliographic record
Abstract
In this contribution, we apply a spatial structure preserving discretization scheme to a simplified 1-D burning plasma model. The plasma dynamics is defined by a set of coupled conservation laws evolving in different physical domains, matching the port-Hamiltonian formalism in infinite dimension. This model describes the time evolution of magnetic, thermic, and material plasma profiles. A structure-preserving spectral collocation method is used to discretize the set of Partial Differential Equations PDEs into finite-dimensional port-Hamiltonian systems, a set of Ordinary Differential Equations ODEs. The discretization scheme relies on the conservation of energy, based upon the transformation of Stokes-Dirac structures onto Dirac ones. The choice of transport model and coupling within the system is set to match with the future ITER experimental Tokamak. Among the couplings, we include bootstrap and ohmic currents, ion-electron collision energy, radiation loses, and the fusion reaction. The obtained control model is compared with two steady-state operation points obtained from a physics-oriented plasma simulator.
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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 | 0.006 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.000 | 0.001 |
| 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".