Dresden 2006 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 36: Nonlinear Dynamics, Synchronization and Chaos II
DY 36.1: Vortrag
Mittwoch, 29. März 2006, 16:15–16:30, H\"UL 186
Oscillatory Zoning: Nonlinear Dynamics and Self-Organization Governing Crystal Growth from Solution — •Felix Kalischewski1, Ihor Lubashevsky2, and Andreas Heuer1 — 1Institut für Physikalische Chemie, Westfälische Wilhelms-Universität, 48149 Münster — 2Theory Department, General Physics Institute, Russian Academy of Sciences, Moscow, 119991 Russia
A large number of solid solutions grown from aqueous media exhibit fluctuating end-member concentrations along the core-rim profile. This phenomenon, called No-dqoscillatory zoningNo-dq, can be attributed to complex self-organizing effects resulting from competition between thermodynamics and kinetics.
In contrast to existing phenomenological models, we developed a model based on epitaxial growth driven by bulk-diffusion, ad/desorption, surface-diffusion, and finally adatom-incorporation. The critical non-linearity enters through the dependence of the adatom-crystal interactions on the crystal-composition.
First, we present a linear stability analysis of our No-dqBoundary Reaction Diffusion ModelNo-dq, as well as its 1D evolution in time obtained by numerical analysis. Second, we expand the numerical scheme to 2D to explore the synchronization behavior observed in experiments.