The roles of power loss and momentum-pressure loss in causing particle-detachment in tokamak divertors: II. 2 Point Model analysis that includes recycle power-loss explicitly
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Bibliographic record
Abstract
Abstract In the Part I companion paper, using a simple heuristic model it was demonstrated that, generically, volumetric loss of both pressure-momentum and power are required for particle detachment to occur. The volumetric power-loss fraction, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msub> <mml:mrow> <mml:mi mathvariant="italic">f</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">pwr</mml:mi> <mml:mo>−</mml:mo> <mml:mi mathvariant="normal">loss</mml:mi> </mml:mrow> </mml:msub> <mml:mspace width="-0.10em"/> <mml:mo>,</mml:mo> </mml:math> was treated as a freely specifiable quantity; however, part of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msub> <mml:mrow> <mml:mi mathvariant="italic">f</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">pwr</mml:mi> <mml:mo>−</mml:mo> <mml:mi mathvariant="normal">loss</mml:mi> </mml:mrow> </mml:msub> </mml:math> is due to the hydrogenic recycle process at the target and in the present paper an extended 2 Point Model—the 2 PM with Recycle —is used that takes this into account explicitly. It is again demonstrated, but now using more physically realistic modeling of both pressure-momentum and power loss, that it is the combination of these two volumetric losses that is the cause of particle-detachment. For practical use, a convenient spreadsheet version is provided for the 2 PM with Recycle . It allows the user to specify the magnitudes and time-variation during a discharge of the 3 primary drivers of plasma conditions in the divertor: <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msub> <mml:mrow> <mml:mi mathvariant="italic">q</mml:mi> </mml:mrow> <mml:mrow> <mml:mo stretchy="false">∣</mml:mo> <mml:mo stretchy="false">∣</mml:mo> <mml:mi mathvariant="normal">u</mml:mi> </mml:mrow> </mml:msub> <mml:mrow> <mml:mfenced close=")" open="("> <mml:mrow> <mml:mi mathvariant="italic">t</mml:mi> </mml:mrow> </mml:mfenced> </mml:mrow> <mml:mo>,</mml:mo> </mml:math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mi mathvariant="italic">f</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">radiation</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">impurity</mml:mi> </mml:mrow> </mml:msubsup> <mml:mrow> <mml:mfenced close=")" open="("> <mml:mrow> <mml:mi mathvariant="italic">t</mml:mi> </mml:mrow> </mml:mfenced> </mml:mrow> <mml:mo>,</mml:mo> </mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msub> <mml:mrow> <mml:mi mathvariant="italic">n</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">u</mml:mi> </mml:mrow> </mml:msub> <mml:mrow> <mml:mfenced close=")" open="("> <mml:mrow> <mml:mi mathvariant="italic">t</mml:mi> </mml:mrow> </mml:mfenced> </mml:mrow> <mml:mspace width=".25em"/> <mml:mrow> <mml:mfenced close=")" open="("> <mml:mrow> <mml:mi mathvariant="normal">or</mml:mi> <mml:mspace width=".25em"/> <mml:msub> <mml:mrow> <mml:mi mathvariant="italic">p</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">totu</mml:mi> </mml:mrow> </mml:msub> <mml:mrow> <mml:mfenced close=")" open="("> <mml:mrow> <mml:mi mathvariant="italic">t</mml:mi> </mml:mrow> </mml:mfenced> </mml:mrow> <mml:mspace width=".25em"/> </mml:mrow> </mml:mfenced> </mml:mrow> <mml:mo>,</mml:mo> </mml:math> where t (s) is the time in the discharge; it outputs values of plasma quantities at the target, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msub> <mml:mrow> <mml:mi mathvariant="italic">T</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">et</mml:mi> </mml:mrow> </mml:msub> <mml:mrow> <mml:mfenced close=")" open="("> <mml:mrow> <mml:mi mathvariant="italic">t</mml:mi> </mml:mrow> </mml:mfenced> </mml:mrow> <mml:mo>,</mml:mo> </mml:math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi mathvariant="normal">Γ</mml:mi> </mml:mrow> <mml:mrow> <mml:mo stretchy="false">∣</mml:mo> <mml:mo stretchy="false">∣</mml:mo> <mml:mrow> <mml:mi mathvariant="normal">t</mml:mi> </mml:mrow> </mml:mrow> </mml:msub> <mml:mrow> <mml:mfenced close=")" open="("> <mml:mrow> <mml:mi mathvariant="italic">t</mml:m
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| 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 | 0.000 | 0.001 |
| 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 it