Different routes towards oscillatory zoning in the growth of solid solutions

Details Different routes towards oscillatory zoning in the growth of solid solutions Different routes towards oscillatory zoning in the growth of solid solutions

2008-05-29

arxiv.org/abs/0805.4561v1

Nonlinear Sciences

Pattern Formation and Solitons

18 pages, 15 figures

Scientific paper

10.1103/PhysRevE.78.041606

Oscillatory zoning, i.e. self-formation of spatial quasi-periodic oscillations in the composition of solid growing from aqueous solution, is analyzed theoretically. Keeping in mind systems like (Ba,Sr)SO4 we propose a 1D model that takes into account the nonideality of the solid solution and the system asymmetry, in particular, reflecting itself in different solubilities for such systems. Based on a linear stability analysis different parameter regions can be identified. Even an ideal solution solution with a sufficiently large asymmetry can display oscillatory zoning. Numerical simulations complement the linear stability analysis as well as the qualitative consideration of the instability development and reveal the nature of the limit cycles.

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