Manipulation of diffusion coefficients via periodic vertical forcing controls the mechanism of Turing pattern formation
Subject:
Dinámica no lineal de sistemas complejos
Autoorganización en sistemas fuera del equilibrio
Inestabilidad de Turing
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Editorial:
The American Physical Society
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Abstract:
We study, theoretically and experimentally, the dynamical response of macroscopic Turing patterns to a mechanical periodic forcing which implies a sinusoidal modulation of gravity. Theoretical predictions indicate that the extra energy, due to the forcing, modifies the diffusion coefficient at a microscopic level, producing changes in the Turing domain and in the pattern characteristics, in particular its wavelength. To check the theoretical analysis, we perform numerical simulations with standard models. Experiments were also performed in the closed Belousov-Zhabotinsky reaction confined in AOT microemulsion (BZ-AOT system).Experiments as well as numerical and theoretical results show good agreement.
We study, theoretically and experimentally, the dynamical response of macroscopic Turing patterns to a mechanical periodic forcing which implies a sinusoidal modulation of gravity. Theoretical predictions indicate that the extra energy, due to the forcing, modifies the diffusion coefficient at a microscopic level, producing changes in the Turing domain and in the pattern characteristics, in particular its wavelength. To check the theoretical analysis, we perform numerical simulations with standard models. Experiments were also performed in the closed Belousov-Zhabotinsky reaction confined in AOT microemulsion (BZ-AOT system).Experiments as well as numerical and theoretical results show good agreement.
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The authors thank D. Cuiñas and A. von Kameke for helpful discussions. This work was supported by Ministerio de Educación y Ciencia and Xunta de Galicia under Research Grants No. FIS2007-64698, No. FIS2010-21023, and No. PGIDIT07PXIB-206077PR.
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