Analytical Description of the Diffusion in a Cellular Automaton with the Margolus Neighbourhood in Terms of the Two-Dimensional Markov Chain

Analytical Description of the Diffusion in a Cellular Automaton with the Margolus Neighbourhood in Terms of the Two-Dimensional Markov Chain

The one-parameter two-dimensional cellular automaton with the Margolus neighbourhood is analyzed based on considering the projection of the stochastic movements of a single particle. Introducing the auxiliary random variable associated with the direction of the movement, we reduce the problem under...

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Bibliographic Details
Main Authors: Anton E. Kulagin, Alexander V. Shapovalov
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Mathematics
Subjects:
two-dimensional Markov chain
cellular automata
Margolus neighbourhood
diffusion
probability distribution
Online Access:https://www.mdpi.com/2227-7390/11/3/584

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