Changeset 324

Show
Ignore:
Timestamp:
03/26/08 12:53:46 (8 months ago)
Author:
powell
Message:

Literature on convex hulls and thermodynamics, a new bibliography.

Location:
trunk/matml/src/ternary
Files:
1 added
1 modified

Legend:

Unmodified
Added
Removed
  • trunk/matml/src/ternary/ternary.tex.in

    r310 r324  
    1919his grad students.  Now it is a standalone program with big plans: 
    2020\begin{itemize} 
    21 \item Craig Carter came up with a convex hull construct to find the 
    22   lowest-energy manifold of a free energy function or set of functions.  Based 
    23   on that concept, ternary will use qhull to calculate that hull, and visualize 
    24   the edges of the resulting triangles---which will clearly show the one-, two- 
    25   and three-phase regions, complete with two-phase tie lines. 
     21\item Craig Carter used a convex hull construct to find and illustrate the 
     22  lowest-energy manifold of a binary free energy function or set of 
     23  functions.\footnote{Though others have noted the relationship between the 
     24    convex hull and the minimum enengy surface before ({\em e.g.} 
     25    \cite{Var1990,Aic2001,Aic2003,Zho2004}), Carter's Mathematica scripts are 
     26    the inspiration for this work.}  Based on that concept, ternary will use 
     27  {\tt qhull} to calculate that hull, and visualize the edges of the resulting 
     28  triangles---which will clearly show the one-, two- and three-phase regions, 
     29  complete with two-phase tie lines. 
    2630\item Based on this, it should be straightforward to use this to build and 
    2731  neatly visualize how free energy functions create a ternary phase diagram. 
     
    5256\end{itemize} 
    5357 
     58\bibliographystyle{unsrt} 
     59\bibliography{ternary} 
     60 
    5461\appendix 
    5562