Formation of Liesegang Patterns: A Spinodal Decomposition Scenario
نویسندگان
چکیده
منابع مشابه
Formation 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...
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Metastable phases may be spontaneously formed from other metastable phases through nucleation. Here we demonstrate the spontaneous formation of a metastable phase from an unstable equilibrium by spinodal decomposition, which leads to a transient coexistence of stable and metastable phases. This phenomenon is generic within the recently introduced scenario of the landscape-inversion phase transi...
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A kinetic Ising model description of Liesegang phenomena is studied using Monte Carlo simulations. The model takes into account thermal fluctuations, contains noise in the chemical reactions, and its control parameters are experimentally accessible. We find that noisy, irregular precipitation takes place in dimension d52 while, depending on the values of the control parameters, either irregular...
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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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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...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1999
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.83.2880