Formation of Liesegang patterns: Simulations using a kinetic Ising model

Abstract

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 d=2 while, depending on the values of the control parameters, either irregular patterns or precipitation bands satisfying the regular spacing law emerge in d=3.

7 pages, 8 ps figures, RevTex

References in corpus (6)

• Derivation of the Matalon-Packter law for Liesegang patterns
• Formation of Liesegang patterns: A spinodal decomposition scenario
• Formation of Liesegang Patterns
• Liesegang patterns : Studies on the width law
• Properties of the asymptotic nA+mB->C reaction-diffusion fronts
• Concentration Profiles and Reaction Fronts in A + B -> C Type Processes: Effect of Background Ions

Cited by in corpus (5)

• Complex motion of precipitation bands
• Formation of Liesegang patterns in the presence of an electric field
• Front motion in an $A+B\to C$ type reaction-diffusion process: Effects of an electric field
• Comparison of models and lattice-gas simulations for Liesegang patterns
• Asymptotic expansion for reversible A + B <-> C reaction-diffusion process