1997Journal of the Chemical Society Faraday TransactionsRequires access

Turing patterns in a single-step autocatalytic reaction

Dezső Horváth, and Ágota Tóth

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Abstract

Stable Turing patterns are presented in the simplest reaction–diffusion system containing a single autocatalytic step in a continuously fed unstirred reactor. In the one-variable homogeneous system exhibiting only bistability, the spatial instability arises from the decoupling of the species by unequal diffusion. The results suggest the possibility of experimentally finding Turing instability among the relatively common bistable chemical systems.

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Stable Turing patterns are presented in the simplest reaction–diffusion system containing a single autocatalytic step in a continuously fed unstirred reactor. In the one-variable homogeneous system exhibiting only bistability, the spatial instability arises from the decoupling of the species by unequal diffusion. The results suggest the possibility of experimentally finding Turing instability among the relatively common bistable chemical systems.

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Available abstract

Stable Turing patterns are presented in the simplest reaction–diffusion system containing a single autocatalytic step in a continuously fed unstirred reactor. In the one-variable homogeneous system exhibiting only bistability, the spatial instability arises from the decoupling of the species by unequal diffusion. The results suggest the possibility of experimentally finding Turing instability among the relatively common bistable chemical systems.

Key concepts: Bistability, Autocatalysis, Turing, Decoupling (probability), Homogeneous, Autocatalytic reaction, Reaction–diffusion system, Instability

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