title: Model of oscillatory zoning in two dimensions: simulation and mode analysis.
abstract: Oscillatory zoning (OZ) occurs in all major classes of minerals and also in a wide range of geological environments. It is caused by self-organization and describes fluctuations of the spatial chemical composition profile of the crystal. We present here a two-dimensional model of OZ based on our previous one-dimensional (1D) analysis and investigate whether the results of the 1D stability analysis remain valid. With the additional second dimension we were able to study the origin of the spatially homogeneous layer formation by linear stability analysis. Numerical solutions of the model are presented and the results of a Fourier analysis delivers a detailed understanding of the crystal growth behavior as well as the limits of the model. Effects beyond linear stability analysis are important to finally understand the final structure formation.
authors.affiliation: WWU Münster, Institut für Physikalische Chemie, Corrensstrasse 30, 48149 Münster, Germany.
authors.forename: Tanja
authors.initials: T
authors.lastname: Mues
authors.forename: Andreas
authors.initials: A
authors.lastname: Heuer
authors.forename: Martin
authors.initials: M
authors.lastname: Burger
authors.forename: Ihor
authors.initials: I
authors.lastname: Lubashevsky