Original paper

Oscillatory zonation of minerals and self-organization in silicate solid-solution systems: a new nonlinear dynamic model

Wang, Jiang-Hai; Wu, Jin-Ping

European Journal of Mineralogy Volume 7 Number 5 (1995), p. 1089 - 1100

63 references

published: Oct 5, 1995
manuscript accepted: Apr 20, 1995
manuscript received: Aug 16, 1994

DOI: 10.1127/ejm/7/5/1089

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Abstract

Abstract A new non-ideal, disequilibrium and nonlinear dynamic model is presented to describe the process of crystal growth in the melt f = 1/{[1 + (ß/Xs)(1-Xs)exp (-W/RT) (1-2f)]} where/and Xs are, respectively, the mole fractions of a component in the crystal and melt at the interface, W the total interchange energy, R the gas constant, T temperature and ß = kB/kA, with kA and kB representing the rate constants of components A and B. Results of the numerical simulation of this model demonstrate that a domain of triple-valued compositions exists if W/RT < - 2 . Together with mass-balance equations, this model explains satisfactorily the oscillatory zonation patterns in silicate solid-solution systems, indicating that self-organization is responsible for the development of such profiles during crystal growth.

Keywords

oscillatory zoningself-organizationsilicate sol id-solution systemsnonlinear dynamicsmultiple valuedness