Thermal characterization of planar interconnect architectures under different rapid transient currents using the transmission line matrix and finite element methods
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Bibliographic record
Abstract
Considering the increasing level of integration and high current densities, the quality and reliability of interconnects in microelectronics is a major challenge. This work studied the problem of transient Joule heating in 180 nm by 360 nm interconnects in a two-dimensional (2D) inhomogeneous model. Specifically, the effects of the duration and amplitude of rapid square-wave source current pulses (100 ns and 1 μs) were investigated. The transmission line matrix (TLM) method was implemented with the link-resistor (LR) formulation and the results were compared with a finite element (FE) model that was developed in LS-DYNA <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">®</sup> . This comparison showed that the overall behavior of the TLM models were in good agreement with the corresponding FE models while, near the heat source, the transient TLM solutions developed slower than the FE solutions. Overall, computational efficiency of the TLM method and its ability to accept non-uniform 2D and 3D mesh and variable time-step make it a good candidate for multi-scale analysis of Joule heating in interconnects.
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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) | 0.000 | 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