Phase Transitions in 2D Cellular Automata

When the initial density of black cells goes above 0.5, there is a sudden transition from a final state that is dominated by white to one that is dominated by black.


This Demonstration shows the final state of a 2D cellular automaton after the specified number of evolution steps. After enough steps, the system reaches a state where black or white cells tend to dominate, depending on whether there were more black or white cells in the initial condition. The specific configuration of the initial state does not affect the final state very much, except when the initial density of black cells is very close to 0.5.
comments
 
Powered by Wolfram Mathematica
Give us your feedback
Give us your feedback

Source page:




 often  occasionally  never

Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed.
Privacy Policy »

Note: To run this Demonstration you need the free
Mathematica Player
or Mathematica 7+
Download or upgrade to Mathematica Player 7
I already have Mathematica Player or Mathematica 7+