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29 March 2024
 
  » arxiv » nlin.CG/0305051

 Article overview


Probabilistic cellular automata with conserved quantities
Henryk Fuk’s ;
Date 27 May 2003
Subject Cellular Automata and Lattice Gases | nlin.CG
AbstractWe demonstrate that the concept of a conservation law can be naturally extended from deterministic to probabilistic cellular automata (PCA) rules. The local function for conservative PCA must satisfy conditions analogous to conservation conditions for deterministic cellular automata. Conservation condition for PCA can also be written in the form of a current conservation law. For deterministic nearest-neighbour CA the current can be computed exactly. Local structure approximation can partially predict the equilibrium current for non-deterministic cases. For linear segments of the fundamental diagram it actually produces exact results.
Source arXiv, nlin.CG/0305051
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