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Exact results for one-dimensional cellular automata with different types of updates

Item Type:Article
Title:Exact results for one-dimensional cellular automata with different types of updates
Creators Name:Rajewsky, N. and Schreckenberg, M.
Abstract:We study two common types of time-noncontinuous updates for one-dimensional stochastic cellular automata with arbitrary nearest-neighbor interactions and arbitrary open boundary conditions. We first construct the stationary states using the matrix product formalism. This construction then allows to prove a general connection between the stationary states which are produced by the two different types of updates. Using this connection, we derive explicit relations between the densities and correlation functions for these different stationary states.
Keywords:Asymmetric Exclusion Model
Source:Physica A: Statistical Mechanics and its Applications
ISSN:0378-4371
Publisher:Elsevier (The Netherlands)
Volume:245
Number:1-2
Page Range:139-144
Date:15 October 1997
Official Publication:https://doi.org/10.1016/S0378-4371(97)00010-1

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