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A fully discrete model of chemical turbulence can successfully reproduce complex behaviors encountered in continuous partial differential equation systems, including a turbulent phase sandwiched by ordered phases and a soliton-like phase. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

December 30, 1985

Discrete model of chemical turbulence

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Abstract

Presumably the simplest model of chemical turbulence is proposed, for which the spatial degree of freedom plays an important role. The concentration, as well as space and time, is discretized. As in the real experiment a turbulent phase is found sandwiched by two ordered phases. In addition, the model predicts a solitonlike phase. Thus the model can exhibit a variety of behaviors encountered in partial differential equation systems. It is also closely related to cellular automata.

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Oono et al. (Mon,) studied this question.

synapsesocial.com/papers/6a0efeb09df4132b62f9da2a — DOI: https://doi.org/10.1103/physrevlett.55.2927

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Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

Statistical mechanics of cellular automata· 1983 · 3,119 citations
Turbulent State in Chemical Reactions· 1976 · 130 citations
A Combinatorial Problem Arising in the Study of Reaction-Diffusion Equations· 1980 · 37 citations
A Reduced Model Showing Chemical Turbulence· 1976 · 107 citations
Chaotic response of nonlinear oscillators· 1982 · 100 citations

Authors

Y. Oono

University of Illinois Urbana-Champaign

Mahito Kohmoto

The University of Tokyo

Journals

Physical Review Letters

Actions

Institutions

University of Illinois Urbana-Champaign

Schlumberger (United States)

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Also consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

Statistical mechanics of cellular automata· 1983 · 3,119 citations
Turbulent State in Chemical Reactions· 1976 · 130 citations
A Combinatorial Problem Arising in the Study of Reaction-Diffusion Equations· 1980 · 37 citations
A Reduced Model Showing Chemical Turbulence· 1976 · 107 citations
Chaotic response of nonlinear oscillators· 1982 · 100 citations

Discrete model of chemical turbulence

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Cite this study

Also consider

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

Also consider