"FRACTAL STATISTICS OF OSCILLATORY ZONING PATTERNS IN CALCITE: A QUALITATIVE AND QUANTITATIVE COMPARISON OF MODELED ZONING PATTERNS"
Four main types of oscillatory zoning patterns (OZP) produced by Wang-Merino dynamic model are described quantitatively and qualitatively and displayed as simulated cathodoluminescence images. The behavior of the dynamic model was investigated in terms of the parameter θ, which is the ratio of diffusivities of Ca2+ and H2CO3 in aqueous solution. Qualitatively, the dynamics of the model may be characterized by a stable focus, an unstable focus, a stable node and a limit cycle. Quantitative characteristics, including amplitude of oscillations and duration of oscillations, change between the patterns. Hurst exponents calculated for each type of OZP are in the range of 0.8-0.96 indicating the patterns are persistent.