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An Algebraic Representation for the Topology of Multi-Component Phase

By Orser, Don J.

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Book Id: WPLBN0000683458
Format Type: PDF eBook
File Size: 1.93 MB.
Reproduction Date: 2005
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Title: An Algebraic Representation for the Topology of Multi-Component Phase  
Author: Orser, Don J.
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Language: English
Subject: Technology., Reference materials, Technology and literature
Collections: Techonology eBook Collection
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Orser, D. J. (n.d.). An Algebraic Representation for the Topology of Multi-Component Phase. Retrieved from http://self.gutenberg.org/


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Technical Reference Publication

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Abstract: A new non-graphical method for representing the topology of phase diagrams is presented. The method exploits the fact that the topological relations between the variously dimensioned equilibria making up the structure of a phase diagram may be treated as a special type of algebraic structure, called an incidence lattice. Corresponding to each topologically distinct phase diagram there is a finite incidence lattice whose elements correspond to the invariant (vertices), monovariant (edges), bivariant (surfaces), etc., transition equilibria of the diagram, and whose operations correspond to moving between these topological elements in a systematic way. Further, we have discovered a method of modeling a given incidence lattice by a family of sets. In this incidence calculus, as we call such a family of sets, the two operations for the incidence lattice are modeled by set intersections. This defines a calculus of phase diagram equilibria specific to that diagram and provides an efficient method?

 

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