Thermodynamic geometry of black holes in AdS space with nonlinear electrodynamics
Bibliographic record
Abstract
Making use of Ruppeiner scalar curvature we study the microstructure of AdS black holes with nonlinear electrodynamics in an extended phase space as a thermodynamic system. Starting with AdS magnetic black holes, the small/large black hole phase transitions are investigated similar as that of a van der Waals fluid. We observed that the Ricci scalar mostly is negative showing the attractive interactions of the fluid microstructures and at a critical temperature the scalar curvature possesses a singularity. The expression for the dividing point v d is obtained, where the normalized scalar curvature vanishes, and divides attractive and repulsive interaction regions between microstructure states of a black hole. For small specific volume ( v < v d , v = 2 r + ) at some parameters ( q m > β ) the scalar curvature is positive indicating on repulsive interactions between neighboring points of a black hole. Thus, the microstructures of magnetically charged AdS black holes are studied from a geometric thermodynamics.
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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 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| 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 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".