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...

詳細記述

書誌詳細
主要な著者: Anton E. Kulagin, Alexander V. Shapovalov
フォーマット: 論文
言語:English
出版事項: MDPI AG 2023-01-01
シリーズ:Mathematics
主題:
オンライン・アクセス:https://www.mdpi.com/2227-7390/11/3/584