Steady diffusion model for olivine-plagioclase corona growth

Details Steady diffusion model for olivine-plagioclase corona growth Steady diffusion model for olivine-plagioclase corona growth

Feb 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gecoa..47..283n&link_type=abstract

Geochimica et Cosmochimica Acta, vol. 47, Issue 2, pp.283-294

Mathematics

Logic

7

Scientific paper

This paper describes an application of a steady diffusion model ( , 1977) to an olivineplagioclase corona and some new results about a theoretical background on the steady diffusion equations. The olivine-plagioclase corona in a metanorite from Mt. Ikoma. Japan, has a layer sequence of olivinecummingtonite-hornblende + spinel-plagioclase. An analysis of a set of steady diffusion equations for the corona in the four-component system, MgO-AlO 3/2 -SiO 2 -Na 0.1 Ca 0.9 O 0.95 (NC) with excess H 2 O. successfully gives the exchange cycle ( , 1973) in the layer sequence with specific values of the phenomenological coefficients' ratios; L MgMg / L SiSi , L MgMg / L AlAl and L MgMg / L NCNC . The factor which controls most strictly the stability of the layer sequence under isobaric-isothermal conditions is L MgMg / L AlAl . Theoretical considerations on the steady diffusion equations show that the L -ratios does not depend on concentrations even if the phenomenological coefficients themselves are functions of concentrations. Equivalence of the steady state condition and the minimum rate of entropy production law ( , 1967) is also proved for the system with fixed chemical potential gradients under isobaric-isothermal conditions, such as reaction bands. These results give a strong background for the model.

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