Cellular Automata technique for computational electromagnetics
Notice bibliographique
Résumé
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
Récupéré en direct depuis OpenAlex et désinversé. Les résumés ne sont pas conservés dans cette base de données : les index inversés représentent 8,6 Go des 9,3 Go de texte de la base, et le serveur dispose de 13 Go libres.
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Prédiction distillée sur la base complète
Imitation des enseignantsNi prévalence calibrée, ni vérité terrain. Validation humaine à venir. Apprise à partir de 10 348 étiquettes directes de Codex et de 10 348 étiquettes directes de Gemma. Le mode candidate est l'union des têtes enseignantes seuillées; le consensus est leur intersection. Ces sorties portent le statut machine_predicted_unvalidated et ne sont ni des étiquettes humaines ni des étiquettes directes de modèles de pointe.
Scores Codex et Gemma par catégorie
| Catégorie | Codex | Gemma |
|---|---|---|
| Métarecherche | 0,000 | 0,000 |
| Méta-épidémiologie (sens strict) | 0,000 | 0,000 |
| Méta-épidémiologie (sens large) | 0,000 | 0,000 |
| Bibliométrie | 0,000 | 0,000 |
| Études des sciences et des technologies | 0,000 | 0,000 |
| Communication savante | 0,000 | 0,000 |
| Science ouverte | 0,001 | 0,000 |
| Intégrité de la recherche | 0,000 | 0,000 |
| Charge utile insuffisante (le modèle a refusé de juger) | 0,000 | 0,000 |
Scores machine (provisoires)
Les deux têtes enseignantes du modèle étudiant, lues sur ce travail. Un score ordonne la base pour la relecture; il n'affirme jamais une catégorie, et le statut de validation accompagne chaque rangée tel quel.
Scores de référence d'un modèle non mature (critères de maturité non atteints, 7 itérations). Un score ordonne; il n'affirme jamais une catégorie.
score_only:v0-immature-baseline · tel quel depuis la passe de notation : score_only signifie que le nombre peut ordonner les travaux, et qu'aucune étiquette de catégorie n'en découleClassification
machine, non validéePrédiction automatique; un appel candidat d’une seule tête enseignante, pas un consensus.
Le détail, modèle par modèle et score par score, se trouve en fin de page sous « Comment cette classification a été obtenue ».