Effect of injection barrier height on charge transport under bipolar injection
Bibliographic record
Abstract
Abstract In this paper, a numerical model describing the transient phenomena of electric charge in a dielectric because of a double injection at 2 electrodes is proposed. The mathematical model and the methods for its resolution are presented step by step. Thus, the Schottky equation is used to describe the injection of negative and positive charges from the cathode and anode respectively. The equations governing the conduction are the current equation and the Poisson equation coupled to the continuity equation. The adopted model uses the applied voltage instead of the applied electric field. The Poisson equation is solved by finite differences using the Thomas algorithm and the continuity equation by Euler's method. The Thomas algorithm reduces considerably the execution time compared to iterative methods. The time step is not constant; it is calculated from the speed of the charges front. The results show that the established model and the method of resolution reproduce correctly the behaviour of the system under a high voltage. It shows also that knowing the injection barrier height can be used to predict the behaviour of the dielectric under electrical stress. The developed model is a tool for describing the behaviour of the charges for a bipolar injection.
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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 | 0.001 | 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) | 0.000 | 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".