Geochemical phase diagrams and gale diagrams

P. H. Edelman; S. W. Peterson; V. Reiner; J. H. Stout

doi:10.1137/S003613990241182X

Geochemical phase diagrams and gale diagrams

P. H. Edelman, S. W. Peterson, V. Reiner, J. H. Stout

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The problem of predicting the possible topologies of a geochemical phase diagram, based on the chemical formula of the phases involved, is shown to be intimately connected with and aided by well-studied notions in discrete geometry: Gale diagrams, triangulations, secondary fans, and oriented matroids.

Original language	English (US)
Pages (from-to)	231-259
Number of pages	29
Journal	SIAM Journal on Applied Mathematics
Volume	64
Issue number	1
DOIs	https://doi.org/10.1137/S003613990241182X
State	Published - Oct 2003

Keywords

Closed net
Euler sphere
Gale diagram
Gale transform
Geochemistry
Heterogeneous equilibrium
Phase diagram
Secondary fan
Secondary polytope
Triangulation

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AU - Peterson, S. W.

AU - Reiner, V.

AU - Stout, J. H.

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KW - Gale diagram

KW - Gale transform

KW - Geochemistry

KW - Heterogeneous equilibrium

KW - Phase diagram

KW - Secondary fan

KW - Secondary polytope

KW - Triangulation

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Geochemical phase diagrams and gale diagrams

Abstract

Keywords

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