### Abstract

Using only the microscopic dynamics, the nonequilibrium steady state of a one-dimensional cellular automaton (CA) model of chemical turbulence is explicitly constructed. A coding is found which decomposes the CA into three interacting shift systems, each of which has an independent steady-state distribution. It was previously shown that the steady state of this model is a Gibbs state. Hence the steady state can be represented in the form Z^{-1}e^{-F}, where F is the "conditional energy" of the system such that all conditional probabilities are continuous. It is shown that the conditional energy of this model has an approximate expression in terms of familiar models from equilibrium statistical mechanics.

Original language | English (US) |
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Pages (from-to) | 357-380 |

Number of pages | 24 |

Journal | Journal of Statistical Physics |

Volume | 55 |

Issue number | 1-2 |

DOIs | |

State | Published - Apr 1 1989 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

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*Journal of Statistical Physics*, vol. 55, no. 1-2, pp. 357-380. https://doi.org/10.1007/BF01042606

**Explicit construction of steady state of a model of chemical turbulence.** / Yeung, Chuck.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Explicit construction of steady state of a model of chemical turbulence

AU - Yeung, Chuck

PY - 1989/4/1

Y1 - 1989/4/1

N2 - Using only the microscopic dynamics, the nonequilibrium steady state of a one-dimensional cellular automaton (CA) model of chemical turbulence is explicitly constructed. A coding is found which decomposes the CA into three interacting shift systems, each of which has an independent steady-state distribution. It was previously shown that the steady state of this model is a Gibbs state. Hence the steady state can be represented in the form Z-1e-F, where F is the "conditional energy" of the system such that all conditional probabilities are continuous. It is shown that the conditional energy of this model has an approximate expression in terms of familiar models from equilibrium statistical mechanics.

AB - Using only the microscopic dynamics, the nonequilibrium steady state of a one-dimensional cellular automaton (CA) model of chemical turbulence is explicitly constructed. A coding is found which decomposes the CA into three interacting shift systems, each of which has an independent steady-state distribution. It was previously shown that the steady state of this model is a Gibbs state. Hence the steady state can be represented in the form Z-1e-F, where F is the "conditional energy" of the system such that all conditional probabilities are continuous. It is shown that the conditional energy of this model has an approximate expression in terms of familiar models from equilibrium statistical mechanics.

UR - http://www.scopus.com/inward/record.url?scp=2442608216&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2442608216&partnerID=8YFLogxK

U2 - 10.1007/BF01042606

DO - 10.1007/BF01042606

M3 - Article

AN - SCOPUS:2442608216

VL - 55

SP - 357

EP - 380

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 1-2

ER -