Changeset 390
- Timestamp:
- 09/11/08 06:40:00 (2 months ago)
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- 1 modified
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trunk/matml/src/ternary/ternary.tex.in (modified) (2 diffs)
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trunk/matml/src/ternary/ternary.tex.in
r359 r390 66 66 67 67 Next it uses Qhull calls in {\tt qhull.c} (appendix \ref{file_qhull.c}) to 68 calculate the convex hull of the free energy function. It strips out the 69 smallest triangles, that is, those which are in the single-phase region, 70 leaving two- and three-phase regions with tie lines. It displays the remaining 71 facets using transparent triangles with black edges, which clearly show the tie 72 lines in the two-phase regions. 68 calculate the convex hull of the free energy function. It refines the 69 multi-phase triangles using Newton iteration to find the lowest-energy point 70 starting at each corner. And it optionally refines the one-phase triangles at 71 their centroids. 72 73 It then strips out the triangles which are in the single-phase region, leaving 74 two- and three-phase regions with tie lines. It displays the remaining facets 75 using transparent triangles with black edges, which clearly show the tie lines 76 in the two-phase regions. 73 77 74 78 For more than one free energy function, it creates a double-size array with two … … 101 105 it a lot easier to wrap these functions using SIDL or SWIG. 102 106 107 \subsection{{\tt Ternary} 0.4.0} 108 109 The new Newton refining code in {\tt qhull.c}, which uses new free energy 110 derivative functions in {\tt freenergy.c}, gives {\tt Ternary} the ability to 111 accurately predict binodal boundaries. Another new function in {\tt 112 freenergy.c} calculates the shape of the spinodal curve. 113 103 114 \bibliographystyle{unsrturl} 104 115 \bibliography{ternary}