منابع مشابه
Robustness of Liesegang patterns
We propose a conceptual analysis of stationary reaction-diffusion patterns with geometric spatial scaling laws as observed in Liesegang patterns. We give necessary and sufficient conditions for such patterns to occur in a robust fashion. Main ingredients are a skewproduct structure in the kinetics, caused by irreversible chemical reactions, the existence of localized spikes, and slowly decaying...
متن کاملComparison of models and lattice-gas simulations for Liesegang patterns
For more than a century Liesegang patterns – self-organized, quasiperiodic structures occurring in diffusion-limited chemical reactions with two components – have been attracting scientists. The pattern formation can be described by four basic empirical laws. In addition to many experiments, several models have been devised to understand the formation of the bands and rings. Here we review the ...
متن کاملLiesegang-like patterns of Toll crystals grown in gel
Generating high-quality crystals remains a bottleneck in biological and materials sciences. Here a counter-diffusion method was used to improve the X-ray diffraction quality of the N-terminal domain of Drosophila melanogaster Toll receptor crystals. It was observed that crystallization occurred with a peculiar pattern along the capillary resembling Liesegang bands; this phenomenon is described ...
متن کاملFormation of Liesegang Patterns: A Spinodal Decomposition Scenario
Spinodal decomposition in the presence of a moving particle source is proposed as a mechanism for the formation of Liesegang bands. This mechanism yields a sequence of band positions xn that obeys the spacing law xn Q 1 1 p n. The dependence of the parameters p and Q on the initial concentration of the reagents is determined and we find that the functional form of p is in agreement with the exp...
متن کاملFormation of Liesegang patterns in an electric field
Evolution of Liesegang patterns in an electric field was studied experimentally in the AgNO3/K2Cr2O7/gelatine system. The distance of the last (nth) band as a function of their appearance time can be described by the equation Xn 1⁄4 c1t+ c2t+ c3 . A numerical model, based on Ostwald ’s supersaturation theory, predicted the same functional law. Experiments showed that the ratio of the distances ...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2009
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/22/2/012