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What do you mean by what kind? I work at a university and we use all kind of models. From very simple models to teach students or make some quick estimation to

by yiyus 6y ago

What do you mean by what kind? I work at a university and we use all kind of models. From very simple models to teach students or make some quick estimation to very large codebases in projects in collaboration with steel companies. Using CA models is quite common in the field of metallurgy. A periodic grid is well suited to describe the polycrystalline microstructures we work with, and grain nucleation and growth laws fit well with the CA concept of rules.

UncleOxidant 6y ago
I guess there could be a lot of attributes the compose "kind" here. In the Game of Life cells are either on or off (binary) and the rules are pretty simple. I'd guess that for a CA to do the kind of simulation you're talking about each cell would have a floating point value? (continuous values) Any idea what the next-state rules look like? Then there's the neighborhood of a CA. GoL uses a Moore neighborhood (9 surrounding cells) - what kind of neighborhood does your simulation CA use? Is it strictly the surrounding cells or does the neighborhood extend further out? And if it does extend further out do the cells further away have less impact than the ones immediately adjacent?
- yiyus 6y ago
  In the simplest models, a cell can be identified by only an integer, indicating either the phase in phase transformation problems or grain id for grain growth or recrystallization. But, in the more complex models, a cell can include all kind of properties (chemical composition, crystallographic orientation, dislocation density...). The number of neighbors we use also varies. Sometimes, even inside the same CA model, we use a different number of neighbors to calculate the evolution of different properties. Some problems are more related with the boundary between cells, and there we have to use first order, but other properties depend on the bulk and we use second order neighbors too (of course, weighted accordingly). Electron microscopy results are commonly obtained in hexagonal grids, so hexagonal grids are often used in 2D simulations. If you are interested in the topic, you can see for example http://www.dierk-raabe.com/reprints/cellular-automata/ http://www.dierk-raabe.com/reprints/cellular-automata/

by yiyus 6y ago

UncleOxidant 6y ago

I guess there could be a lot of attributes the compose "kind" here. In the Game of Life cells are either on or off (binary) and the rules are pretty simple. I'd guess that for a CA to do the kind of simulation you're talking about each cell would have a floating point value? (continuous values) Any idea what the next-state rules look like? Then there's the neighborhood of a CA. GoL uses a Moore neighborhood (9 surrounding cells) - what kind of neighborhood does your simulation CA use? Is it strictly the surrounding cells or does the neighborhood extend further out? And if it does extend further out do the cells further away have less impact than the ones immediately adjacent?

yiyus 6y ago
In the simplest models, a cell can be identified by only an integer, indicating either the phase in phase transformation problems or grain id for grain growth or recrystallization. But, in the more complex models, a cell can include all kind of properties (chemical composition, crystallographic orientation, dislocation density...). The number of neighbors we use also varies. Sometimes, even inside the same CA model, we use a different number of neighbors to calculate the evolution of different properties. Some problems are more related with the boundary between cells, and there we have to use first order, but other properties depend on the bulk and we use second order neighbors too (of course, weighted accordingly). Electron microscopy results are commonly obtained in hexagonal grids, so hexagonal grids are often used in 2D simulations. If you are interested in the topic, you can see for example http://www.dierk-raabe.com/reprints/cellular-automata/ http://www.dierk-raabe.com/reprints/cellular-automata/