On fundamental diagram of stochastic cellular automata with a quadratic conserved quantity

Kazushige Endo; Daisuke Takahashi; Junta Matsukidaira

doi:10.1587/nolta.7.313

Nonlinear Theory and Its Applications, IEICE

Online ISSN : 2185-4106
ISSN-L : 2185-4106

Special Section on Rigorous Nonlinear Analysis

On fundamental diagram of stochastic cellular automata with a quadratic conserved quantity

Kazushige Endo, Daisuke Takahashi, Junta Matsukidaira

Author information

Keywords: cellular automaton, fundamental diagram, conserved quantity

JOURNAL FREE ACCESS

2016 Volume 7 Issue 3 Pages 313-323

DOI https://doi.org/10.1587/nolta.7.313

Details

Abstract

We report the exact analysis of asymptotic behavior for some stochastic cellular automata with a quadratic conserved quantity. There exists a reduction from the cellular automaton with a quadratic conserved quantity to that with a primary through a transformation of variable. Exact analysis about the asymptotic behavior is made utilizing this relation.

Content from these authors

Favorites & Alerts

Corresponding author

Register with J-STAGE for free!