Poroelectroelastic theory of water sorption and swelling in polymer electrolyte membranes
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Bibliographic record
Abstract
This paper presents a novel poroelectroelastic model of equilibrium water sorption and swelling in polymer electrolyte membranes. These phenomena determine transport properties, electrochemical performance, durability and lifetime of the membrane in a polymer electrolyte fuel cell. Based on a consistent treatment of thermodynamic equilibrium conditions, involving capillary, osmotic and elastic effects, we establish the equation of state of water in a single membrane pore. It relates the charge density at the pore walls to a microscopic swelling parameter. Extended to the water sorption equilibrium in a pore ensemble, the model reconciles microscopic swelling in a single pore with macroscopic swelling of the membrane. Theoretical relations are developed that rationalize the impact of external conditions, statistical distribution of anionic head groups and elastic properties of the polymer on water sorption and swelling. The model resolves Schröder's paradox and other unexplained phenomena related to water sorption equilibria, pressure distribution, and transport properties in PEM.
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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 | 0.000 | 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 it