Complexity of precipitation patterns: Comparison of simulation with experiment.

Numerical simulations show that a simple model for the formation of Liesegang precipitation patterns, which takes into account the dependence of nucleation and particle growth kinetics on supersaturation, can explain not only simple patterns like parallel bands in a test tube or concentric rings in a petri dish, but also more complex structural features, such as dislocations, helices, "Saturn rings," or patterns formed in the case of equal initial concentrations of the source substances. The limits of application of the model are discussed. (c) 1994 American Institute of Physics.

[1]  A. A. Polezhaev,et al.  A model of pattern formation by precipitation , 1991 .

[2]  P. Ortoleva,et al.  Bifurcation of the Ostwald-Liesegang supersaturation-nucleation-depletion cycle * , 1990 .

[3]  J. Ross,et al.  Measurements and a hypothesis on periodic precipitation processes , 1987 .

[4]  G. Venzl.  Pattern formation in precipitation processes. I. The theory of competitive coarsening , 1986 .

[5]  Dee Gt,et al.  Patterns produced by precipitation at a moving reaction front , 1986 .

[6]  Enrique Merino,et al.  REDOX FRONT PROPAGATION AND BANDING MODALITIES , 1986 .

[7]  Catherine Nicolis,et al.  Irreversible phenomena and dynamical systems analysis in geosciences , 1986 .

[8]  D. Smith,et al.  On Ostwald’s supersaturation theory of rhythmic precipitation (Liesegang’s rings) , 1984 .

[9]  P. Ortoleva.  From nonlinear waves to spiral and speckle patterns:: Nonequilibrium phenomena in geological and biological systems , 1984 .

[10]  J. Ross,et al.  Periodic precipitation patterns in the presence of concentration gradients. 2. Spatial bifurcation of precipitation bands and stochastic pattern formation , 1983 .

[11]  P. Ortoleva,et al.  Periodic precipitation and coarsening waves: Applications of the competitive particle growth modela) , 1983 .

[12]  J. Ross,et al.  Periodic precipitation patterns in the presence of concentration gradients. 1. Dependence on ion product and concentration difference , 1982 .

[13]  J. Ross,et al.  Comments on pattern formation in precipitation processes , 1982 .

[14]  P. Ortoleva.  Solute reaction mediated precipitate patterns in cross gradient free systems , 1982 .

[15]  J. Ross,et al.  Curiosities in Periodic Precipitation Patterns , 1982, Science.

[16]  S. I. Rubinow,et al.  Recurrent precipitation and Liesegang rings , 1981 .

[17]  J. Ross,et al.  Kinetic instabilities in first order phase transitions , 1978 .

[18]  P. Ortoleva,et al.  Spontaneous pattern formation in precipitating systems , 1978 .

[19]  J. Ross,et al.  Mechanism of chemical instability for periodic precipitation phenomena , 1974 .

[20]  I. Lifshitz,et al.  The kinetics of precipitation from supersaturated solid solutions , 1961 .

[21]  C. Wagner.  Mathematical analysis of the formation of periodic precipitations , 1950 .

[22]  F. Lloyd,et al.  Further Studies in Periodic Precipitation , 1930 .

[23]  E. Hatschek.  A Series of Abnormal Liesegang Stratifications. , 1920, The Biochemical journal.

[24]  J. W. RODGER,et al.  Lehrbuch der Allgemeinen Chemie , 1893, Nature.