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) |
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Pages (from-to) | 231-259 |
Number of pages | 29 |
Journal | SIAM Journal on Applied Mathematics |
Volume | 64 |
Issue number | 1 |
DOIs | |
State | Published - Oct 2003 |
Keywords
- Closed net
- Euler sphere
- Gale diagram
- Gale transform
- Geochemistry
- Heterogeneous equilibrium
- Phase diagram
- Secondary fan
- Secondary polytope
- Triangulation