Cellular Automata technique for computational electromagnetics
Bibliographic record
Abstract
Lattice Gas Automata (LGA) can be considered as an altemative to the conventional differential equation description of problems in electromagnetics.LGAs are discrete dynamical systems that are based on a microscopic model of the physics being simulated.The basic constituents of an LGA are discrete cells.These cells are interconnected accord- ing to certain symmetric requirements to form an extremely large regular lattice.The cells of an LGA are extremely simple, requiring only a few bits to completely describe their states.Even though they are simple, the collective behaviour of LGA microscopic systems is capable of exhibiting those behaviours described by partial differential equations for real physical systems.The inherent parallelism and simplicity of LGA algorithms make them ideally suited to implementation in a parallel processing architecture which can be effectively realized with special-purpose cellular automata machines.The objective of this research is to explore and develop the potential of cellular automata as mathematical tools for electromagnetic modelling.In two-dimensional applications, a new HPP-type mixture LGA algonthm is pre- sented for modelling wave propagation in inhomogeneous media.It can be analytically shown that change in sound speed of an LGA can be achieved by incorporating rest bits at a lattice site, as well as moving or interaction bits.It will also be shown that a simple mix- ture LGA will behave according to the linear scalar wave equation.Thus, by making an analogy between a fluid and two-dimension electromagnetic field parameters, we can utilize this simple particle interaction paradign as a tool for two-dimensional inhomogene- ous electromagnetic problems.However, the problem of developing LGA vector models for modelling three dimen- sional electromagnetic phenomena is more difficult since there is no a direct analogy between fluid and three-dimensional vector electromagnetic fields.By considering the inherent property of electromagnetic fields, an LGA vector algorithm for modelling three-dimensional vector electromagnetic fields is constructed.We show how, in the macroscopic limit, the three-dimensional Maxwell's equations can be derived from the LGA vector model.Nikhil and Dino, for their friendship and their help whenever I needed.Special thanks are due to my friend, Richard Ellis and his family, who have always been eager to provide all kind of help for me and for my family since the first day we landed in Winnipeg.They made us feel at home every Christmas and Chinese New Year party.I would like to thank my parents, parents-in-law, my two sisters
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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 | 0.000 | 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 | 0.001 | 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".