Explicit construction of steady state of a model of chemical turbulence

Research output: Contribution to journalArticle

1 Citation (Scopus)

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-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.

Original languageEnglish (US)
Pages (from-to)357-380
Number of pages24
JournalJournal of Statistical Physics
Volume55
Issue number1-2
DOIs
StatePublished - Apr 1 1989

Fingerprint

Turbulence
turbulence
cellular automata
Gibbs States
Nonequilibrium Steady State
Steady-state Distribution
Cellular Automaton Model
Conditional probability
One-dimensional Model
Energy
Statistical Mechanics
Cellular Automata
Coding
statistical mechanics
Model
Decompose
coding
energy
shift
Form

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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title = "Explicit construction of steady state of a model of chemical turbulence",
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-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.",
author = "Chuck Yeung",
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Explicit construction of steady state of a model of chemical turbulence. / Yeung, Chuck.

In: Journal of Statistical Physics, Vol. 55, No. 1-2, 01.04.1989, p. 357-380.

Research output: Contribution to journalArticle

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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.

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